Which of the following statements are true about the null and alternative hypoth

Question

Which of the following statements are true about the null and alternative hypothesis? (Check all that apply.)

Let Y be a random variable. Consider the following hypothesis test H1: E(Y) # Y, o Where Ho is the null hypothesis and Ht is the alternative hypothesis. Which of the following statements are true about the null and alternative hypothesis? (Check all that apply,) A. The null hypothesis is that the population mean Em takes on a specific value whereas the alternative hypothesis specifies what is true if the null hypothesis is not. B. If the null hypothesis is accepted the statistician declares it to be true and the alternative false if the null hypothesis is rejected the statistician declares it to be false and the alternative true. C. Hypothesis testing entails using data to provide sufficient evidence against the null hypothesis and in favor of the alternative hypothesis D. Hypothesis testing entails using data to provide sufficient evidence against both the null and alternative hypothesis. E. Hypothesis testing entails using data to provide sufficient evidence in favor of both the null and alternative hypothesis.

Explanation / Answer

Solution:

Option (A) ,(B) and (C) are correct.

Reason:

According to hypothesis testing, we conclude about the null hypothesis. On the basis of testing, we accept the null hypothesis or reject it and acccpet the alternative hypothesis.

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