2. [12 points] Determine whether or not cach of the following statements is corr

Question

2. [12 points] Determine whether or not cach of the following statements is correct. [3 points cach] (a) The value of the test statistic does not lie in the rejection region. Therefore, we accept (b) The value of the test statistic lies in the rejection region. Therefore, there is sufficient (c) The value of the test statistic does not lie in the rejection region. Therefore, there is (d) The value of the test statistic does not lie in the rejection region. Therefore, there is the null hypothesis. evidence to suggest the alternative hypothesis is true evidence to suggest the null hypothesis is true. insufficient evidence to suggest the alternative hypothesis is true.

Explanation / Answer

Solution

(a) Incorrect. Answer is do not reject the null hypothesis as the value of the test statistic does not lie in the rejection region. (you cannot accept the null hypothesis, but only find evidence against it)

(b) Correct. As the value of the test statistic falls in the rejection region, then reject H0 and can claim that alternative hypothesis is true.

(c) Correct. As the value of the test statistic does not falls in the rejection region, then do not reject H0 and can claim that null hypothesis is true.

(d) Correct. As the value of the test statistic does not falls in the rejection region, then do not reject H0 and can claim that alternative hypothesis is not true.

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