Assume a significance level of alpha equals 0.05 and use the given information to complete parts (a) and (b) below. Original claim: More than 52% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.2504.

a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H 0.) Choose the correct answer below.

A. Fail to reject H0 because the P-value is greater than alpha.
B. Fail to reject H0 because the P-value is less than or equal to alpha.
C. Reject H0 because the P-value is greater than alpha.
D. Reject H0 because the P-value is less than or equal to alpha.

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 52%.
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 52%.
C. The percentage of adults that would erase all of their personal information online if they could is more than 52%.

Question

27-04-2020
Mathematics

contestada

Assume a significance level of alpha equals 0.05 and use the given information to complete parts (a) and (b) below. Original claim: More than 52% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.2504.

a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H 0.) Choose the correct answer below.

A. Fail to reject H0 because the P-value is greater than alpha.
B. Fail to reject H0 because the P-value is less than or equal to alpha.
C. Reject H0 because the P-value is greater than alpha.
D. Reject H0 because the P-value is less than or equal to alpha.

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 52%.
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 52%.
C. The percentage of adults that would erase all of their personal information online if they could is more than 52%.

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Alcaa Alcaa · Answer 1 · 2020-04-28T12:52:06+02:00

Answer:

(a) Fail to reject [tex]H_0[/tex] because the P-value is greater than alpha.

(b) The percentage of adults that would erase all of their personal information online if they could is less than or equal to 52%.

Step-by-step explanation:

We are given that assume a significance level of alpha equals 0.05 and use the given information to complete parts;

Original claim : More than 52% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.2504.

Let p = % of adults who would erase all of their personal information online if they could

So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 52% {means that percentage of adults that would erase all of their personal information online if they could is less than or equal to 52%}

Alternate Hypothesis, [tex]H_A[/tex] : p > 52% {means that percentage of adults that would erase all of their personal information online if they could is more than 52%}

(a)The conclusion about the null hypothesis is that;

We fail to reject null hypothesis, [tex]H_0[/tex] because the P-value is greater than alpha as 0.2504 > 0.05.

(b) The correct conclusion based on the fact that null hypothesis has been rejected is;

The percentage of adults that would erase all of their personal information online if they could is less than or equal to 52%.