9. Hypothesis Testing for One Sample

Identifying a Test In Exercises 21–24, determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

Ha: σ^2 = 142

H0: σ ≠ 142

A popular theme park claims that their weekly attendance is around $100,000$. You believe that the weekly attendance is different than this claimed value, so you gather sample data. Write the null and alternative hypotheses.

Which of the following statements comparing one-tailed with two-tailed hypothesis tests is correct?

Which of the following statements is consistent with the steps in hypothesis testing?

Describe the difference between calculating the standardized test statistic, Z^2, for a chi-square test for variance and a chi-square test for standard deviation.

Which statement below is consistent with making a ${\mathrm{Type}}^{\mathrm{I}}$ error in hypothesis testing?

In the context of multiple linear regression, which of the following conditions is typically assessed first during the steps of hypothesis testing?

In each exercise,

c. find the test statistic,

In Exercises 1 and 2, use the table, which lists the distribution of educational achievement for people in the United States ages 25 and older. It also lists the results of a random survey for two additional age groups. (Adapted from U.S. Census Bureau)

Use the data for 30- to 34-year-olds and 65- to 69-year-olds to test whether age and educational attainment are related. Use α=0.01.

Performing a Sign Test In Exercises 7–22, (a) identify the claim and state Ho and Ha, (b) find the critical value, (c) find the test statistic, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.

Hourly Wages A labor organization claims that the median hourly wage of computer systems analysts is \$41.93. In a random sample of 45 computer systems analysts, 18 earn less than \$41.93 per hour, 25 earn more than \$41.93 per hour, and 2 earn \$41.93 per hour. At , can you reject the labor organization’s claim? (Adapted from U.S. Bureau of Labor Statistics)

Performing a Sign Test In Exercises 7–22, (a) identify the claim and state Ho and Ha,

[APPLET] SAT Scores A guidance counselor claims that students who take the SAT twice will improve their scores the second time that they take the SAT. The table shows both math SAT scores for 12 students who took the SAT twice. At 0.01, can you support the guidance counselor’s claim?

Which of the following scenarios would result in a null hypothesis $p=0.44$ and an alternative hypothesis $p<0.44$?

Which of the following is not true about $p$-values in hypothesis testing?

n Exercises 1–6, the statement represents a claim. Write its complement and state which is H0 and which is Ha.

μ ≠ 150,020

Which of the following scenarios would result in the null hypothesis $\mu =38$ and the alternative hypothesis $\mu <38$?