Provide explanation with correct answer to this question please. Suppose we cond

Question

Provide explanation with correct answer to this question please.

Suppose we conduct a hypothesis test of Hop about the same sample? po vs Ho p #Po Wetakea andom sample and get a sample proportion such that ve eie theulhypothesisat a 5%s nificance le which the longs s true A. B. C. A 95% confidence interval for the population proportion will include Po We might not reject the null hypothesis at the 1% level. We will definitely reject the null hypothesis at the 1% level 0 D. We might not reject the null hypothesis at the 10% level.

Explanation / Answer

Option - A: If we are rejecting the null hypothesis at 0.05 level that means that the 95% confidence interval for p will not include p0. So, this option is incorrect.

Option - B: For 0.01 < p value < 0.05, we would reject the null hypothesis at 0.05 level but we do not reject the null hypothesis at 0.01 level. So, Option B is correct.

Option - C: As per above statement, it is not necessary that we definitely reject the null hypothesis at 1% level.

Option - D: If we are rejecting the null hypothesis at 0.05 level then p - value would be less than 0.05 and we definitely reject it at 10% level also. So, this option is incorrect.

Hence,

Option B is correct.

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