9. Hypothesis Testing for One Sample

Which of the following is not a true statement about error in hypothesis testing?

Which of the following is typically the first step when conducting a significance test in practice?

Which of the following is not true when testing a claim about a population proportion?

Which of the following is not a true statement about error in hypothesis testing?

Which of the following is not a characteristic of the $t$ test?

Which of the following is not a conclusion of the central limit theorem?

The National Bureau of Economic Research (NBER) is a private, nonprofit, nonpartisan research organization. The NBER provides information for better understanding of how the U.S. economy works. Researchers at the NBER concentrate on four types of empirical research: developing new statistical measurements, estimating quantitative models of economic behavior, assessing the effects of public policies on the U.S. economy, and projecting the effects of alternative policy proposals.One of the NBER’s interests is the median income of people in different regions of the United States. The table at the right shows the annual incomes (in dollars) of a random sample of people (15 years and over) in a recent year in four U.S. regions: Northeast, Midwest, South, and West.

In Exercises 1–5, refer to the annual incomes of people in the table. Use for all tests.

Use technology to perform a sign test to test the claim that the median annual income in the Midwest is greater than \$30,000.

Which of the following is not a criterion for making a decision in a hypothesis test?

Which of the following is the correct sequence of steps in hypothesis testing for determining if two population means are similar?

Which of the following graphs best represents the rejection region for the hypothesis test with null hypothesis $H_0:p\le 8.1$?

Which of the following best describes the null hypothesis for an independent-samples t-test?

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.

A candy manufacturer seeking to minimize the variation in weights of their candies claims to produce candies with a standard deviation less than $0.300$ g. Write the null and alternative hypotheses.

A survey claimed that $30\%$ of adults prefer electric cars over traditional cars. A car manufacturer believes the true proportion is higher than $30\%$. To test this, they survey a random sample of $50$ adults and find that $19$ say they prefer electric cars. Determine which test statistic to use & calculate it.

Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

$H_0:$ $p=0.4$

$H_a:$ $p\ne 0.4$