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Question 11 of 15
The test statistic of \( z=2.74 \) is obtained when testing the claim that \( p \neq 0.686 \).
a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.
b. Find the \( P \)-value.
c. Using a significance level of \( \alpha=0.05 \), should we reject \( \mathrm{H}_{0} \) or should we fail to reject \( \mathrm{H}_{0} \) ?
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
a. This is a \( \square \) two-tailed test.
b. \( P \)-value \( = \) \( \square \) (Round to three decimal places as needed.)
c. Choose the correct conclusion below.
A. Fail to reject \( \mathrm{H}_{0} \). There is sufficient evidence to support the claim that \( \mathrm{p} \neq 0.686 \).
B. Fail to reject \( \mathrm{H}_{0} \). There is not sufficient evidence to support the claim that \( \mathrm{p} \neq 0.686 \).
C. Reject \( \mathrm{H}_{0} \). There is not sufficient evidence to support the claim that \( \mathrm{p} \neq 0.686 \).
D. Reject \( \mathrm{H}_{0} \). There is sufficient evidence to support the claim that \( \mathrm{p} \neq 0.686 \).
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