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Statistical Analyses of the Sexual Ideologies of BPHS Students,[object Object],Cristian Castillo,[object Object],George Damian,[object Object],Steven Do,[object Object]
Confidence Intervals for Means,[object Object],Question 2: Age,[object Object],X = 16.80, n = 87, df = 86, t* = 1.663, s = 0.696,[object Object],16.80 ± 1.663 * (0.696/(sqrt87)),[object Object],= (16.652, 16.948),[object Object],We are 95% confident that the true mean age of survey participants is between 16.652 and 16.948 years.,[object Object]
Confidence Intervals for Means,[object Object],Question 3: Grade Level,[object Object],X = 11.43, n = 83, df = 82, t* = 1.664, s = 1.270,[object Object],11.43 ± 1.664 * (1.270/(sqrt83)),[object Object],= (11.153, 11.707),[object Object],We are 95% confident that the true mean grade level of survey participants is between 11.153 and 11.707.,[object Object]
Confidence Intervals for Means,[object Object],Question 4: Number of times engaged in unprotected sex (in the past year),[object Object],X = 1.012, n = 83, df= 82, t* = 1.664, s = 2.652,[object Object],1.012 ± 1.664 * (2.652/(sqrt83)),[object Object],= (.4329 , 1.591),[object Object],We are 95% confident that the true mean of the number of times a survey participant engaged in unprotected sex in the past year is between .4329 and 1.591. ,[object Object]
Confidence Intervals for Means,[object Object],Question 5: Number of sexual partners in the past year,[object Object],X = 1, n = 83, df = 82, t* = 1.664, s = 1.807 ,[object Object],1 ± 1.664 * (1.807/(sqrt83)),[object Object],= (.6054, 1.395),[object Object],We are 95% confident that the true mean number of sexual partners that a survey participant has had in the past year is between .6054 and 1.395.,[object Object]
Confidence Intervals for Means,[object Object],Question 6: Number of times in a day where one thinks about sex,[object Object],X = 3.104, n = 67, df= 66, t* = 1.668, s = 5.216,[object Object],3.104 ± 1.668 * (5.216/(sqrt67)),[object Object],= (1.831, 4.376),[object Object],We are 95% confident that the true mean number of times in a day when a survey participant thinks about sex is between 1.831 and 4.376.,[object Object]
Confidence Intervals for Proportions,[object Object],Question 1: Gender,[object Object],p = 0.414, q = 0.586, z* = 1.960, n = 83,[object Object],0.414 ± 1.960 * sqrt[(.414)(.586)/(87)],[object Object],= (0.310, 0.517),[object Object],We are 95% confident that the true proportion of affirmative (male) participants is between .310 and .517.,[object Object]
Confidence Intervals for Proportions,[object Object],Question 7: Abortion,[object Object],p = 0.409, q = 0.591, z* = 1.960, n = 83,[object Object],0.409 ± 1.960 * sqrt[(.409)(.591)/(83)],[object Object],= (0.303, 0.515),[object Object],We are 95% confident that the true proportion of affirmative responses (agreement to the method of abortion) is between .303 and .515.,[object Object]
Confidence Intervals for Proportions,[object Object],Question 8: Abstinence,[object Object],p = 0.479, q = 0.521, z* = 1.960, n = 73,[object Object],0.479 ± 1.960 * sqrt[(.479)(.521)/(73)],[object Object],=(0.364, 0.594),[object Object],We are 95% confident that the true proportion of affirmative responses (for the concept of abstinence) is between .364 and ,594.,[object Object]
Confidence Intervals for Proportions,[object Object],Question 9: Adoption if one cannot raise a newborn,[object Object],p = 0.90, q = 0.10, z* = 1.960, n = 80,[object Object],0.90 ± 1.960 * sqrt[(.90)(.10)/(80)],[object Object],= (0.834, 0.966),[object Object],We are 95% confident that the true proportion of affirmative responses (the concept of putting a child up for adoption if one does not possess adequate qualities to raise it) is between .834 and .966.,[object Object]
Confidence Intervals for Proportions,[object Object],Question 10: Raising a newborn,[object Object],p = .833, q = .167, z* = 1.960, n = 84,[object Object],0.833 ± sqrt[(.833)(.167)/(84)],[object Object],= (0.753, 0.913),[object Object],We are 95% confident that the true proportion of affirmative responses (raising a newborn if it was your bearing) is between .753 and .913.,[object Object]
Hypothesis Test (Larger Study),[object Object],Question 7: Abortion,[object Object],“A new Gallup Poll, conducted May 7-10, finds 51% of Americans calling themselves "pro-life" on the issue of abortion and 42% "pro-choice.””  We do not know whether or not the study was conducted randomly, but there is no reason not to assume the sample as unrepresentative.1,[object Object],Our sample of responses to the concept of abortion showed that 34 out of the 83 respondents claimed a pro-choice point view.,[object Object]
Hypothesis Test (Larger Study),[object Object],Question 7: Abortion,[object Object],H0: p = .51,[object Object],Ha: p ≠ .51,[object Object],	n = 83,[object Object],2. Randomness: Survey sample was acquired at random.,[object Object],   10% condition: The sample consisted of less than 10% of the population.,[object Object],np = 83(.51) = 42.33 > 10,[object Object],nq = 83(.49) = 40.67 > 10,[object Object],3. We will conduct a 1-proportion z-test.,[object Object],4. ˆp = .410,[object Object],      z = .410-.51/sqrt[(.51)(.49)/83],[object Object],         = -1.83,[object Object],      p = 0.0674,[object Object],5. Since the p-value greater than .05, we do not reject the null hypothesis.  There is not enough evidence to say that the proportion of the pro-life opinions on abortion in the Gallup poll differ from our sample of pro-life opinions.,[object Object]
Hypothesis Test (Larger Study),[object Object],Question 8: Abstinence,[object Object],“Over 50 percent of teens chose to be abstinent, and abstinence is becoming more popular. 73 percent of teens say they do not think it is embarrassing for a teen to be a virgin, and 58 percent say teens should not have sex, regardless of what precautions they take…”  Randomness is not stated, but there is no reason to assume otherwise.2,[object Object],Our sample of responses to the concept of abstinence showed that 35 out of the 73 respondents claimed a pro-abstinence point view.,[object Object]
Hypothesis Test (Larger Study),[object Object],Question 8: Abstinence,[object Object],H0: p = .58,[object Object],	Ha: p ≠ .58,[object Object],	n = 73,[object Object],2. Randomness: Survey sample was acquired at random.,[object Object],    10% condition: The sample consisted of less than 10% of the population.,[object Object],np = 73(.58) = 42.34 > 10,[object Object],nq = 73(.42) = 30.66 > 10,[object Object],3. We will conduct a 1-proportion z-test.,[object Object],4. ˆp = .479,[object Object],       z = .479-.58/sqrt[(.58)(.42)/73],[object Object],          = -1.74,[object Object],       p = 0.082,[object Object],5. Since the p-value greater than .05, we do not reject the null hypothesis.  There is not enough evidence to say that the proportion of the pro-abstinence opinions on teenhelp.com differ from our sample of pro-abstinence opinions.,[object Object]
Hypothesis Test Comparing Affirmative Responses (Males vs. Females),[object Object],Question 2: Age,[object Object],H0: MeanM = MeanF ; Ha: MeanM ≠ MeanF,[object Object],MeanM = Mean age of males,[object Object],MeanF  = Mean age of females,[object Object],2. Randomness: Survey sample was acquired randomly.,[object Object],	Independence: Age of one individual does not affect another’s.,[object Object],	10% condition: 36 males and 51 females are less than 10% of the population.,[object Object],	Nearly normal: Distributions are nearly normal with no outliers. (See next slide),[object Object],3. We will conduct a 2-sample t-test. ,[object Object],4. nM=36, xM=16.81, sM=0.668; nF=51, xF=16.82, sF=0.713; df = 85,[object Object],	P(t ≠ (16.81 – 16.82)/sqrt[(0.6682/36 + 0.7132/51)],[object Object],	t = 0.0669, p = 0.947,[object Object],5. Since the p-value is much greater than .05, we have no conclusive evidence against the null hypothesis.  There is no difference between the mean age of males and females within the sample.,[object Object]
Hypothesis Test Comparing Affirmative Responses (Males vs. Females),[object Object],Question 2: Age,[object Object]
Hypothesis Test Comparing Affirmative Responses (Males vs. Females),[object Object],Question 3: Grade Level,[object Object],H0: MeanM = MeanF ; Ha: MeanM ≠ MeanF,[object Object],MeanM = Mean grade level of males,[object Object],MeanF  = Mean grade level of females,[object Object],2. Randomness: Survey sample was acquired randomly.,[object Object],	Independence: One individual’s grade level does not affect another’s.,[object Object],	10% condition: 36 males and 47 females are less than 10% of the population.,[object Object],	Nearly normal: Male distribution is skewed left while female distribution is roughly symmetric. (See next slide),[object Object],3. We will conduct a 2-sample t-test.,[object Object],4. nM=36, xM=11.555, sM=0.558; nF=47, xF=11.574, sF=0.499; df = 81,[object Object],	P(t ≠ (11.555– 11.574)/sqrt[(0.5582/36 + 0.4992/47)],[object Object],	t = -0.160, p = 0.872,[object Object],5. Since the p-value is greater than .05, we have no conclusive evidence against the null hypothesis.  There is no difference between the mean grade level s of males and females within the sample.,[object Object]
Hypothesis Test Comparing Affirmative Responses (Males vs. Females),[object Object],Question 3: Grade Level,[object Object]
Hypothesis Test Comparing Affirmative Responses (Males vs. Females),[object Object],Question 4: Number of times engaged in unprotected sex (in the past year),[object Object],H0: MeanM = MeanF ; Ha: MeanM ≠ MeanF,[object Object],MeanM = Mean number of times males had unprotected sex in the past year,[object Object],MeanF  = Mean number of times females had unprotected sex in the past year,[object Object],2. Randomness: Survey sample was acquired randomly.,[object Object],	Independence:   Aside from partnership within the sample, the number of times one chooses to have unprotected sex does not affect another’s.,[object Object],	10% condition: 34 males and 49 females are less than 10% of the population.,[object Object],	Nearly normal:  Both distributions are skewed to the right. (See next slide),[object Object],3. We will conduct a 2-sample t-test.,[object Object],4. nM=34, xM=1.353, sM=3.374; nF=49, xF=0.775, sF=2.013; df = 81,[object Object],	P(t ≠ (1.353– 0.775)/sqrt[(0.3.3742/34 + 2.0132/49)],[object Object],	t = 0.895, p = 0.375,[object Object],5. Since the p-value is greater than .05, we have insufficient evidence against the null hypothesis.  There is no difference between the mean number of times a male/female had unprotected sex in the past year.,[object Object]
Hypothesis Test Comparing Affirmative Responses (Males vs. Females),[object Object],Question 4: Number of times engaged in unprotected sex (in the past year),[object Object]
Hypothesis Test Comparing Affirmative Responses (Males vs. Females),[object Object],Question 5: Number of sexual partners (in the past year),[object Object],H0: MeanM = MeanF ; Ha: MeanM ≠ MeanF,[object Object],MeanM = Mean number of sexual partners males had in the past year,[object Object],MeanF  = Mean number of sexual partners females had in the past year,[object Object],2. Randomness: Survey sample was acquired randomly.,[object Object],	Independence:   Aside from partnership within the sample, the number of partners one chooses to engage in sex with does not affect another’s.,[object Object],	10% condition: 34 males and 49 females are less than 10% of the population.,[object Object],	Nearly normal: Both distributions are skewed to the right.  (See next slide),[object Object],3. We will conduct a 2-sample t-test.,[object Object],4. nM=34, xM=1.706, sM=2.541; nF=49, xF=0.510, sF=0.739; df = 81,[object Object],	P(t ≠ (1.706– 0.510)/sqrt[(2.5412/34 + 0.7392/49)],[object Object],	t = 2.667, p = 0.0113,[object Object],5. Since the p-value is less than .05, we conclude that there is sufficient evidence against the null hypothesis.  We reject the claim that the mean number of sex partners a male had in the past year is equal to the mean number of sex partners a female had in the past year.,[object Object]
Hypothesis Test Comparing Affirmative Responses (Males vs. Females),[object Object],Question 5: Number of sexual partners (in the past year) ,[object Object]
Hypothesis Test Comparing Affirmative Responses (Males vs. Females),[object Object],Question 6: Number of times a day one thinks about sex,[object Object],H0: MeanM = MeanF ; Ha: MeanM ≠ MeanF,[object Object],MeanM = Mean number of times a day males think about sex,[object Object],MeanF  = Mean number of times a day females think about sex,[object Object],2. Randomness: Survey sample was acquired randomly.,[object Object],	Independence: The number of times a day one individual thinks about sex does not affect another’s.,[object Object],	10% condition: 28 males and 39 females are less than 10% of the population.,[object Object],	Nearly normal: Male distribution is bimodal while female distribution is skewed right. (See next slide),[object Object],3. We will conduct a 2-sample t-test.,[object Object],4. nM=28, xM=5.393, sM=5.852; nF=39, xF=1.462, sF=4.038; df = 65,[object Object],	P(t ≠ (5.393– 1.462)/sqrt[(5.8522/28 + 4.0382/39)],[object Object],	t = 3.068, p = 0.00364,[object Object],5. Since the p-value is less than .05, we can conclude that there is sufficient evidence against the null hypothesis.  We reject the claim that the mean number of times a day males thinks about sex is equal to the mean number of times a day females think about sex.,[object Object]
Hypothesis Test Comparing Affirmative Responses (Males vs. Females),[object Object],Question 6: Number of times a day one thinks about sex,[object Object]
x2 Test for Homogeneity Among Grades,[object Object],Question 7: Abortion,[object Object]
x2 Test for Homogeneity Among Grades,[object Object],Question 7: Abortion,[object Object],Ho: Affirmative responses (agree) to the concept of abortion are independent of grade level.,[object Object],Ha: Affirmative responses to the concept of abortion are dependent on grade level.,[object Object],Randomness: Survey sample was selected at random.,[object Object],10% condition: We sampled less than 10% of the world’s population of high school students.,[object Object],We will conduct a x2 test for homogeneity.,[object Object],X2 = (0-0.384)2/0.384 + (0-0.57)2/0.57 + (1-0.047)2/0.047 + (11-12.66)2/12.66 + (20-18.80)2/18.80 + (2-1.54)2/1.54 + (22-19.95)2/19.95 + (29-29.63)2/29.63 + (1-2.42)2/2.42,[object Object],    = 21.99,[object Object],P = .000201,[object Object],Since the P-value is less than .05, we proceed to reject the null hypothesis.  There is not enough evidence to suggest that the affirmative responses regarding the concept of abortion are independent of grade level.,[object Object]
x2 Test for Homogeneity Among Grades,[object Object],Question 8: Abstinence,[object Object]
x2 Test for Homogeneity Among Grades,[object Object],Question 8: Abstinence,[object Object],H0: Affirmative responses (for) to the concept of abstinence are independent of grade level.,[object Object],Ha: Affirmative responses to the concept of abstinence are independent of grade level.,[object Object],Randomness: Survey sample was selected at random.,[object Object],10% condition: We sampled less than 10% of the world’s population of high school students.,[object Object],We will conduct a x2 test for homogeneity.,[object Object],X2 = (0-0.402)2/0.402 + (0-0.425)2/0.425 + (1-0.172)2/0.172 + (12-13.28)2/13.28 + (14-14.03)2/14.03 + (7-5.69)2/5.69 + (23-21.32)2/21.32 + (23-22.52)2/22.52 + (7-9.14)2/9.14,[object Object],    = 5.866,[object Object],P = 0.209,[object Object],Since the p-value is greater than .05, it is concluded that there is insufficient evidence against the null hypothesis.  We do not reject the hypothesis that affirmative responses to the concept of abstinence are independent of grade levels.,[object Object]
x2 Test for Homogeneity Among Grades,[object Object],Question 9: Adoption if one cannot raise a newborn,[object Object]
x2 Test for Homogeneity Among Grades,[object Object],Question 9: Adoption if one cannot raise a newborn,[object Object],Ha: Affirmative responses (agree) to the idea of adoption if one cannot raise a newborn are independent of grade level.,[object Object],H0: Affirmative responses to the idea of adoption if one cannot raise a newborn are dependent of grade level.,[object Object],Randomness: Survey sample was selected at random.,[object Object],10% condition: We sampled less than 10% of the world’s population of high school students.,[object Object],We’ll conduct a x2 test for homogeneity.,[object Object],X2 = (0-0.839)2/0.839 + (0-0.092)2/0.092 + (1-0.069)2/0.069 + (25-28.53)2/28.53 + (5-3.13)2/3.13 + (4-2.35)2/2.35 + (48-43.63)2/43.63 + (3-3.13)2/3.13 + (1-3.59)2/3.59,[object Object],     = 19.194,[object Object],P = .000719,[object Object],Since the p-value is less than .05, we proceed to reject the null hypothesis.  There is insufficient evidence to conclude that affirmative responses toward the idea of putting a child up for adoption is independent of grade level.,[object Object]
x2 Test for Homogeneity Among Grades,[object Object],Question 10: Raising a newborn,[object Object]
x2 Test for Homogeneity Among Grades,[object Object],Question 10: Raising a newborn,[object Object],Ha: Affirmative responses (for) toward the idea of raising a newborn if one were to impregnate/be impregnated are independent of grade level. ,[object Object],H0: Affirmative responses toward the idea of raising a newborn if one were to impregnate/be impregnated are dependent of grade level.,[object Object],Randomess: Survey sample was selected at random.,[object Object],10% condition: We sampled less than 10% of the world’s population.,[object Object],We’ll conduct a x2 test for homogeneity.,[object Object],X2 = (0-0.779)2/0.779 + (0-0.186)2/0.186 + (1-0.035)2/0.035 + (29-26.48)2/26.48 +(4-6.33)2/6.33 + (1-1.19)2/1.19 + (38-39.73)2/39.73 + (12-9.48)2/9.49 + (1-1.78)2/1.78 ,[object Object],     = 29.87,[object Object],P = .0000052,[object Object],Since the p-value is lower than .05, we will proceed to reject the null hypothesis.  There is not enough evidence to conclude that affirmative responses to the idea of raising a newborn if one were to impregnate/be impregnated are,[object Object]
References,[object Object],1"More Americans-Pro-Life - Than-Pro-Choice-€ for First Time." Gallup.Com - Daily News, Polls, Public Opinion on Government, Politics, Economics, Management. Web. 25 May 2011. <http://www.gallup.com/poll/118399/more-americans-pro-life-than-pro-choice-first-time.aspx>.,[object Object],2"Benefits of Teen Abstinence - Teen Sexuality." Teen Help - Advice for Parents and Teens. Web. 26 May 2011. <http://www.teenhelp.com/teen-sexuality/teen-abstinence.html>.,[object Object]

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Sexual ideologies of bphs students (1)

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