Performing a Runs Test In Exercises 15 – 20, (a) identify the claim and state H0 and Ha. Use α = 0.05
Coin Toss A coach records the results of the coin toss at the beginning of each football game for a season. The results are shown, where H represents heads and T represents tails. The coach claimed the tosses were not random. Test the coach’s claim.
H T T T H T H H T T T T H T H H

Performing a Sign Test In Exercises 7–22, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.

Social Media A research group claims that the median age of the users of a social media website is greater than 30 years old. In a random sample of 24 users, 11 are less than 30 years old, 10 are more than 30 years old, and 3 are 30 years old. At , can you support the research group’s claim? (Adapted from Pew Research Center)

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)

[APPLET] Test Scores and GNI In Exercises 9 –12, use the table below. The table shows the average achievement scores of 15-year-olds in science and mathematics along with the per capita gross national incomes (GNI) of nine randomly selected countries for a recent year. (The GNI is a measure of the total value of goods and services produced by the economy of a country.) (Source: Organization for Economic Cooperation and Development; The World Bank)

Math and GNI At α = 0.05, can you conclude that there is a significant correlation between mathematics achievement scores and per capita GNI?

Finding the Number of Runs In Exercises 3 – 6, determine the number of runs in the sequence. Then find the length of each run.

T F T F T T T F F F T F

Performing a Runs Test In Exercises 15 – 20, (a) identify the claim and state H0 and Ha, (b) find the critical values, (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. Use α = 0.05

[APPLET] Dog Identifications A team of veterinarians record, in order, the genders of every dog that is microchipped at their pet hospital in one month. The genders of recently microchipped dogs are shown, where F represents a female and M represents a male. A veterinarian claims that the microchips are random by gender. Do you have enough evidence to reject the doctor’s claim?

M M F M F F F F F M M M F F

F M F F F F F M F F F M F F F

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?

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.

Credit Card Charges A financial service accountant claims that the median credit card balance of college students is more than $500. You randomly select the credit card accounts of 12 college students and record the balance for each account. The balances (in dollars) are listed below. At , can you support the accountant’s claim? (Adapted from Sallie Mae)

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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.

Temperature A meteorologist claims that the median daily high temperature for the month of July in Pittsburgh is Fahrenheit. The high temperatures (in degrees Fahrenheit) for 15 randomly selected July days in Pittsburgh are listed below. At , is there enough evidence to reject the meteorologist’s claim? (Adapted from U.S. National Oceanic and Atmospheric Administration)

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