Question

H0: p = 0.40 Ha: p ≠ 0.4095 for p: (0.10 , 0.35) Statistics

Options:
A) p = 0.15
B) p = 0.25
C) p = 0.30
D) p = 0.25

Answer 1

Reject the null hypothesis based on the given significance level and p-value.

Step-by-step explanation:

Solution:

Set up the hypothesis test:

H.o.: p ≤ 0.25

Ha: p > 0.25

Determine the distribution needed:

Since this is a hypothesis test for a single proportion, we can use the normal distribution.

Probability statement:

The p-value is calculated to be 0.0753.

Compare alpha and the p-value:

The significance level alpha is given as 0.10, which is greater than the p-value of 0.0753.

Make a decision:

Since alpha is greater than the p-value, we reject the null hypothesis.