A student performs a test of Hop = 0.75 versus H,: p <0.75 at the a = 0.05 significance level and gets a P-value of 0.22. The student writes: "Because the P-value is large, we accept Ho. The data provide convincing evidence that the null hypothesis is true." What should the student have written for their conclusion? Because the P-value is large, we fail to reject Ho. The data do not provide convincing evidence that the alternative hypothesis is true. O Because the P-value is large, we fail to reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is small, we reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we accept Ho. The data do not provide convincing evidence that the alternative hypothesis is true. What the student wrote is correct.

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A student performs a test of Ho p = 0.75 versus H, p < 0.75 at the a = 0.05 significance level and gets a P-value of
0.22. The student writes: 'Because the P-value is large, we accept Ho. The data provide convincing evidence that the null
hypothesis is true."
What should the student have written for their conclusion?
Because the P-value is large, we fail to reject Ho. The data do not provide convincing evidence that the alternative
hypothesis is true.
O Because the P-value is large, we fail to reject Ho. The data provide convincing evidence that the alternative
hypothesis is true.
Becaus
the P-value is small, we reject Ho. The data provide convincing evidence that the alternative hypothesis is
true.
Because the P-value is large, we accept Ho. The data do not provide convincing evidence that the alternative
hypothesis is true.
What the student wrote is correct.
Transcribed Image Text:A student performs a test of Ho p = 0.75 versus H, p < 0.75 at the a = 0.05 significance level and gets a P-value of 0.22. The student writes: 'Because the P-value is large, we accept Ho. The data provide convincing evidence that the null hypothesis is true." What should the student have written for their conclusion? Because the P-value is large, we fail to reject Ho. The data do not provide convincing evidence that the alternative hypothesis is true. O Because the P-value is large, we fail to reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Becaus the P-value is small, we reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we accept Ho. The data do not provide convincing evidence that the alternative hypothesis is true. What the student wrote is correct.
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Given that a student performs a test of H0:p=0.75 Vs H0:p<0.75 at the α=0.05 significance level and gets a P value of 0.22.

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