MATH SOLVE

4 months ago

Q:
# A test for a binomial proportion fails to reject the null hypothesis at the 1% level of significance. Which one of the following is true?
Answers:
a.
A mistake has been made and the null hypothsis should be rejected
b.
p-value > 0.01
c.
p-value < 0.01
d.
p-value > 0.05

Accepted Solution

A:

When a test for a binomial proportion fails to reject the null hypothesis at the 1% level of significance, it means that the p-value (the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample) is greater than 0.01.
So, the correct answer is:
b. p-value > 0.01
This indicates that there is not enough evidence to reject the null hypothesis at the 1% significance level.