Question

# Which of the following statements about rejecting the null hypothesis is true? Group of answer choices...

Which of the following statements about rejecting the null hypothesis is true? Group of answer choices If the p-value is such that you can reject Ho for a 5% level of significance, you can always reject it for a 1% level of significance. If the sample data is such that for a one-tailed test of the mean you can reject Ho at the 1% level of significance, you can always reject Ho for a two-tailed test at the same level of significance. If the p-value is such that you can reject H­o for a 1% level of significance, you can always reject it for a 5% level of significance. If the sample data is such that for a one-tailed test of the mean you can reject Ho at the 5% level of significance, you can always reject Ho for a two-tailed test at the 1% level of significance.

option A is incorrect because rejecting the null hypothesis at 5% level means that p value must be less than 0.05, but it does not mean that p value is less than 0.01. So, we can reject the Ho at 1% level just because the p value is less than 5%

option B is incorrect because p value for the two tailed hypothesis test is always twice of one tailed test p value, so it is possible that for two tailed hypothesis test the p value will be greater than 1%. So, statement is incorrect

option C is correct because when p value is less than 1%, then it is always less than 5%. So, we will definitely reject Ho at 5%, when Ho is rejected at 1% level.

option D is incorrect because rejecting the null hypothesis at 5% level means that p value must be less than 0.05, but it does not mean that p value is less than 0.01. So, we can reject the Ho at 1% level just because the p value is less than 5%

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