Question

1. Assumptions underlying the use of t-statistic in sample-based estimation are that the population is normally distributed and population standard deviation is unknown.

A. True

B. False

2.

The null hypothesis is rejected if the p-value (i.e., the probability of getting a test statistic at least as extreme as the observed value) is greater than the significance level.

A. True

B. False

3. When using the p-value to test hypotheses, the null hypothesis would be rejected if __________.

		A. the p-value is negative
		B. the p-value is greater than the significance level α
		C. the p-value is greater than the power of the test (1 – β)
		D. the p-value is less than the significance level α

Answer 1

Solution:

Question 1)

We use t distribution for testing one population mean if the population is normally distributed and population standard deviation is unknown.

thus given statement is TRUE.

Question 2)

If the p-value is less than the significance level α , we reject the null hypothesis otherwise we fail to reject null hypothesis.

Thus the given statement: "The null hypothesis is rejected if the p-value (i.e., the probability of getting a test statistic at least as extreme as the observed value) is greater than the significance level." is FALSE.

Question 3)

p-value is never negative , it should be less than level of significance to reject null hypothesis H0.

Thus:

When using the p-value to test hypotheses, the null hypothesis would be rejected if D. the p-value is less than the significance level α.