6. The critical region(s) for a hypothesis test consists of outcomes that have a

Question

6. The critical region(s) for a hypothesis test consists of outcomes that have

a.a high probability if the null hypothesis is true

b. a high probability whether or not the null hypothesis is true

c. a very low probability if the null hypothesis is true

d. a very low probability only if there is no null hypothesis

7. A researcher administers a treatment to a sample of n = 25 participants and uses a hypothesis test to evaluate the effect of the treatment. The hypothesis test produces a z-score test statistic of z = 2.47. Assuming that the researcher is using a two-tailed test, what decision should be made?

a. The researcher should reject the null hypothesis with a = .05 but not with a = .01.

b. The researcher should reject the null hypothesis with either a= .05 or a= .01.

c. The researcher should fail to reject Ho with either a = .05 or a = .01.

d. cannot answer without additional information

Explanation / Answer

6. In hypothesis testing, a critical value is a point on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis. Ifthe absolute value of your test statistic is greater than the critical value, you can declare statistical significance and reject the null hypothesis.

Hence answer is

a.a high probability if the null hypothesis is true

7. p value is 2*P(z>2.47)=2*0.0068=0.0136

As we know that if pvalue<alpha we reject null hypothesis

Hence answer is

a. The researcher should reject the null hypothesis with a = .05 but not with a = .01.

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