Question

A hypothesis test testing the claim that more than 45% of adults that are satisfied with their job results in a p-value of 0.0017. (a) Does this p-value support the claim that more than 45% of adults are satisfied with their job? (b) What does the p-value represent in this situation?

Answer 1

solution:

the claim is that more than 45% of adults that are satisy with their job

so the alternativy hypothesis will be:

then resulted p value for the test is 0.0017

a)

when taking the decision whether to reject or accept the null we have to compare the p value from an alpha level of significance generally 0.01 or 0.05

since it is shown that the p value is very small as compared to both significance level , in this case we have to reject the null hypothesis and concluded that the claim that more than 45% of adults that are satisy with their job is true.

b)

p value here means that there is 0.17% chance that atleast more than 45% of adult satisfied with their jobs when the null hypothesis is true.