1. State the decision rule, using the 0.05 significance level.(Round your answer to 3 decimal
places.) The null hypothesis and the alternate are:
Solution
similar
The null hypothesis and the alternate are:
H0: The frequencies are equal.
H1: The frequencies are not equal.
Category f0
A 30
B 30
C 25
D 15
(a)
State the decision rule, using the 0.01 significance level. (Round your answer to 3 decimal
places.)
Reject H0 if 2 >
(b)
Compute the value of chi-square. (Round your answer to 1 decimal places.)
x2
(a) For 0.01 significance and df = 3, critical Chi-square = 11.345
If the calculated chi-square is greater than or equal to 11.345, reject the null hypothesis.
(b) E = 25

2. calculated chi-square = sum[(Oi - E)^2 /E] = 6
Since calculated chi-square is less than 11.345, it can be said that the frequencies are equal.