Drawing Conclusions Quiz

If the computed value is greater than the critical value, then we ______________.

• a. retain the null hypothesis

• b. reject the null hypothesis

• c. support the null hypothesis

• d. fail to reject the null hypothesis

What does it mean when the null hypothesis is rejected?

• a. The null hypothesis is incorrect.

• b. The alternative hypothesis is correct.

• c. There is a sufficient evidence to support the null hypothesis.

• d. There is an insufficient evidence to disprove the null hypothesis.

If the t-computed value is 2.115 and the critical value is 2.423, what will be the decision?

• a. Reject the null hypothesis.

• b. Do not reject the null hypothesis.

• c. Reject both the null and alternative hypotheses.

• d. Support both the null and alternative hypotheses.

When we fail to reject the null hypothesis, which of the following statements is true?

• a. The conclusion is guaranteed.

• b. The conclusion is not guaranteed.

• c. There is a sufficient evidence to back up the claim.

• d. There is no sufficient evidence suggesting that the claim is false.

If the z-computed value is 1.253 and the critical value is 1.645, what will be the decision?

• a. Reject the null hypothesis.

• b. Do not reject the null hypothesis.

• c. Reject both the null and alternative hypotheses.

• d. Support both the null and alternative hypotheses.

In a right-tailed test, if the critical value is greater than the computed value, then we __________________________________.

• a. reject the null hypothesis

• b. fail to reject the null hypothesis

• c. reject both the null and alternative hypotheses

• d. support both the null and alternative hypotheses

What should you do if the computed t-value lies in the critical region?

• a. Reject the null hypothesis.

• b. Fail to reject the null hypothesis.

• c. Reject both the null and alternative hypotheses.

• d. Support both the null and alternative hypotheses.

The z-computed value is 2.113 and the critical value is 1.645. What conclusion can be drawn?

• a. Reject the null hypothesis.

• b. Fail to reject the null hypothesis.

• c. Reject both the null and alternative hypotheses.

• d. Support both the null and alternative hypotheses.

In a two-tailed test with 𝛼 = 0.025 and the z-computed value is 2.014, what is your decision?

• a. Reject the null hypothesis.

• b. Do not reject the null hypothesis.

• c. Reject both the null and alternative hypotheses.

• d. Support both the null and alternative hypotheses.

A drink vending machine is adjusted so that, on average, it dispenses 200ml of fruit juice with a standard deviation of 13ml into a plastic cup. However, the machine tends to go out of adjustment and periodic checks are made to determine the average amount of fruit juice being dispensed. The operator thinks that the amount dispensed is less than 200 ml. So to verify, a sample of 25 drinks is taken to test the adjustment of the machine and a mean of 195 is obtained. For α = 5%, an appropriate decision rule would be _________________________________.

• a. retain the null hypothesis

• b. reject the null hypothesis

• c. support the null hypothesis

• d. fail to reject the null hypothesis