Question

assume a significance level of α = 0.05 and use the given information to complete parts (a) and (b) below.
original claim: more than 47% of adults would erase all of their personal information online if they could. the hypothesis test results in a p - value of 0.2544.
b. without using technical terms, state a final conclusion that addresses the original claim. which of the following is the correct conclusion?
○ a. there is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 47%.
○ b. the percentage of adults that would erase all of their personal information online if they could is less than or equal to 47%.
○ c. the percentage of adults that would erase all of their personal information online if they could is more than 47%.
○ d. there is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 47%.

Explanation:

In hypothesis testing, if the P - value ($0.2544$) is greater than the significance level ($\alpha = 0.05$), we fail to reject the null hypothesis. The original claim is the alternative hypothesis. Failing to reject the null hypothesis means there is not enough evidence to support the alternative hypothesis (the original claim).

Answer:

D. There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 47%.