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zlopas [31]
3 years ago
13

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​%.
Mathematics
1 answer:
frosja888 [35]3 years ago
7 0

Answer:

(a) Fail to reject H_0 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.

<u><em>Let p = ​% of adults who would erase all of their personal information online if they could</em></u>

So, Null Hypothesis, H_0 : p \leq 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, H_A : p > 52%      {means that percentage of adults that would erase all of their personal information online if they could is more than 52​%}

<u><em /></u>

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

We fail to reject null hypothesis, H_0 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​%.  

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