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?

[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. 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 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, (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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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 During a weather report, a meteorologist claims that the median daily high temperature for the month of January in San Diego is Fahrenheit. The high temperatures (in degrees Fahrenheit) for 16 randomly selected January days in San Diego are listed below. At , can you reject the meteorologist’s claim? (Adapted from U.S. National Oceanic and Atmospheric Administration)

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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.

Health Insurance An insurance agent claims that the median annual amount households with employer health insurance coverage in Hawaii spend on health insurance premiums is at least $600. In a random sample of 112 such households, 65 households spend less than $600 and 47 households spend more than $600. At , can you reject the agent’s claim? (Adapted from The Commonwealth Fund)