9.5 Hypothesis test on population proportion and mean when variance is unknown

For a two-tailed hypothesis test with a test statistic value of z = 2.05, the p-value is _____.

.0404

A random sample of 100 people was taken. Eighty 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 75%. Refer to Exhibit 9-6. The p-value is _____.

.1251

A random sample of 100 people was taken. Eighty 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 75%. Refer to Exhibit 9-6. The test statistic is _____.

1.25

For a two-tailed test with a sample size of 20 and a .20 level of significance, the t value is _____.

1.328

For a one-tailed test (upper tail) with a sample size of 18 and a .05 level of significance, the t value is _____.

1.740

The smaller the p-value, the _____.

greater the evidence against H0

In a two-tailed hypothesis test, the null hypothesis should be rejected if the p-value is _____.

less than or equal to a

A random sample of 100 people was taken. Eighty 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 75%. Refer to Exhibit 9-6. At a .05 level of significance, it can be concluded that the proportion of the population in favor of candidate A is _____.

not significantly greater than 75%

If a hypothesis test has a Type I error probability of .05, that means if the null hypothesis is _____.

true, it will be rejected 5% of the time

For a sample size of 30, changing from using the standard normal distribution to using the t distribution in a hypothesis test _____.

will result in the rejection region being smaller