According to a recent poll, 74 out of 250 randomly selected U.S. adults interviewed said hey would not be bothered if corporations collected records of their activity on the nternet. Is there sufficient evidence to conclude that more than one quarter of U.S. adults feel this way? Test the appropriate hypotheses using a 0.01 significance level, round your test statistic to four decimal places, and round everything else to 1 decimal places. Follow the seven-step process.
Given:
Let n represents the number of randomly selected U.S adults(n=250).
Let X represents the number of selected adults who said that they would not be bothered if corporations collected records of their activity on the internet (X=74).
Let represents the proportion of adults who said that they would not be bothered if corporations collected records of their activity on the internet; that is;
Therefore, the proportion of adults who said that they would not be bothered if corporations collected records of their activity on the internet is 0.296.
Step 1:
The statistical hypothesis that will be formed is:
H0:
H1:
where P is the true representative of population proportion of adults who said that they would not be bothered if corporations collected records of their activity on the internet.
Step 2:
The test is right tailed test where the researcher wants to test whether more than one quarter of U.S adults would not be bothered if corporations collected records of their activity on the internet.
Step 3:
The level of significance ()=0.01.
Step 4:
The value of test statistics is calculated as:
Therefore, the calculated value of test statistics is 1.6796.
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