17) In hypothesis testing, the null hypothesis is the hypothesis that the researcher believes is true and wishes to prove.
18) In testing a hypothesis, statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.
19) If a hypothesis test is conducted for a population mean, a null and alternative hypothesis of the form:
H0 : μ = 100
HA : μ ≠ 100
will result in a one-tailed hypothesis test since the sample result can fall in only one tail.
20) If the sample data lead the decision maker to reject the null hypothesis, the alpha level is the maximum probability of committing a Type II error.
21) In a two-tailed hypothesis test, the area of both tails in the rejection region is equal to α.
22) When a battery company claims that their batteries last longer than 100 hours and a consumer group wants to test this claim, the hypotheses should be:
H0 : μ ≤ 100
HA : μ > 100
23) Type II error is failing to reject the null hypothesis when the null is actually false.
24) When using the p-value method, the null hypothesis is rejected when the calculated p-value > α.
25) The test statistic that is used when testing a null hypothesis for a population variance is the standard normal z-value.
26) A one-tailed hypothesis test for a population variance always has the rejection region in the upper tail.
27) If we are interested in performing a one-tailed, upper-tail hypothesis test about a population variance where the level of significance is .01 and the sample size is n = 25, the critical chi-square value to be used is 42.9798.