Question 20

John rejected a null hypothesis in a right-tailed test for a mean at alpha = 0.025 because the critical t value was 2.000 and his calculated t value was 2.345. We can be sure that:

None of the presented answers is correct because none can definitely be concluded.

John committed neither Type I nor Type II error.

John did not commit Type I error.

John did not commit Type II error.

Question 21

For a two-tailed null hypothesis, the test statistic Z=1.96. Therefore, the p-value is 0.05.

True

False

Question 22

A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80%.

We consider the following sets of hypothesis testing:

(A) Ho: p > 0.8; Ha: p <= 0.8

(B) Ho: p <= 0.8; Ha: p > 0.8

(C) Ho: p > 0.8; Ha: p < 0.8

(D) Ho: p > 0.8; Ha: p < 0.8

Fill in Multiple Blanks:

The correct set of hypotheses is . (Enter A, B, C, or D.)

The actual value of the test statistic is . In your answer, show two (2) digits to the right of the decimal point, for example, 1.00, 1.20, 1.22. Apply the appropriate rounding rule if necessary.

At a 0.10 level of significance, the critical value of the test statistic is . In your answer, show two (2) digits to the right of the decimal point, for example, 1.00, 1.20, 1.22. Apply the appropriate rounding rule if necessary.

At a 0.10 level of significance, it can be concluded that the proportion of the population in favor of Candidate A (is, is not) significantly greater than 80%.