T Distribution Hypothesis Test

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

• using a small level of significance

• using a large level of significance

• obtaining data with a small p-value

• obtaining data with a low test statistic

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

• Reject the null hypothesis

• Reject the alternative hypothesis

• Fail to reject the null hypothesis

• Fail to reject the alternative hypothesis

When do you use a t-value instead of a z-value? 

• When n < 30

• When n ≥ 30

• When all of the planets align

• When Ms. O said to

H₀: μ = k

H₁: μ ≠ k

• Left-tailed test

• Two-tailed test

• Right-tailed test

H₀: μ = k

H₁: μ > k

• Left-tailed test

• Right-tailed test

It is a random variable that is calculated from sample data and used in a hypothesis test.

• Sample

• t-test

• test statistic

• z-test

A fast food chain owner claims that the average number of people who visits their store is 1350 daily with a standard deviation of 30. A random sample of 20 days showed that the average number of people who visits their store is 1400. What is the appropriate form of test statistic?

• q - test

• z - test

• t - test

• x - test

At the Chrysler manufacturing plant, there is a part that is supposed to weigh precisely 19 pounds. The engineers take a sample of parts and want to know if they meet the weight specifications. What are our null and alternative hypotheses?

• H_o : μ = 17, H_a : μ ≠ 19

• H_o : μ = 19, H_a : μ ≠ 19

• H_o : μ = 19, H_a : μ ≠ 17

• H_o : μ = 17, H_a : μ ≠ 17

This is the same write-up as found in the previous question:

A recent newspaper article claimed that the President’s approval rating is 46%; however, a sample of 80 U.S. citizens shows that 43 of them approve of the President’s performance. At a 0.10 level of significance, you are interested in determining if there is evidence that the President’s approval rating is actually higher.

What is the p-value for this hypothesis test?

• .082

• .164

• .702

• .298