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Answer:
(a) Fail to reject 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, : p
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, : p > 52% {means that percentage of adults that would erase all of their personal information online if they could is more than 52%}
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(a)The conclusion about the null hypothesis is that;
We fail to reject null hypothesis, 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%.