Question

Assume a significance level of α=0.05 and use the given information to complete parts​ (a) and​ (b) below.

Original​ claim: Less than 51​% of adults would erase all of their personal information online if they could. The hypothesis test results in a​ P-value of 0.0148
a. State a conclusion about the null hypothesis.​ (Reject Upper H0 or fail to reject Upper H0
Choose the correct answer below.
A.Reject Upper H0 because the​ P-value is less than or equal to to α.
B. Reject Upper H0 because the​ P-value is greater than α.
C. Fail to reject Upper H0 because the​ P-value is greater than α.
D. Fail to reject Upper H0 because the​ P-value is less than or equal to α.
b. Without using technical​ terms, state a final conclusion that addresses the original claim. Which of the following is the correct​ conclusion?
A. The percentage of adults that would erase all of their personal information online if they could is less than or equal to 51​%.
B.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 51​%.
C. The percentage of adults that would erase all of their personal information online if they could is more than 51​%.
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 51​%.

Answer 1

A.Reject Upper H0 because the​ P-value is less than or equal to to α.

B.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 51​%.

Explanation:

Given the claim :

Less than 51% will erase their personal information :

We take this as the null ;

H0 < 0.51 ;

Alternative hypothesis which is the opposite of the Null

H1 > 0.51

P value = 0.0148

α = 0.05

At α = 0.05 ; if p value is less than α ; reject the the Null

If p value is greater than Null ; then we fail to reject the Null

Pvalue < α

The P value is less than 0.05; then we reject the Null

B.) There is significance evidence to support the Alternative hypothesis claim, that the percentage of adult that would erase all their personal information online if they could is more Than 51%