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Chapter 12: Q. 6 (page 796)

The P-value for the test in Question 5 is 0.0087. A correct interpretation of this result is that

(a) the probability that there is no linear relationship between an average number of putts per hole and total winnings for these 69players is 0.0087.

(b) the probability that there is no linear relationship between the average number of putts per hole and total winnings for all players on the PGA Tour鈥檚 world money list is 0.0087.

(c) if there is no linear relationship between an average number of putts per hole and total winnings for the players in the sample, the probability of getting a random sample of 69players yields a least-squares regression line with a slope of -4139198or less is 0.0087.

(d) if there is no linear relationship between an average number of putts per hole and total winnings for the players on the PGA Tour鈥檚 world money list, the probability of getting a random sample of 69 players yields a least-squares regression line with a slope of -4139198or less is 0.0087.

(e) the probability of making a Type II error is0.0087.

Short Answer

Expert verified

A correct interpretation of this result is the option (d) if there is no linear relationship between an average number of putts per hole and total winnings for the players on the PGA Tour鈥檚 world money list, the probability of getting a random sample of 69 players yields a least-squares regression line with a slope of -4139198or less is0.0087 .

Step by step solution

01

Given information

Given in the question that, the Pvalue for the test is 0.0087.

We have to find the correct interpretation of the result.

02

Explanation

The given data is

H0:尾=0

Ha:尾<0

The P-value is the probability of obtaining the value of the test statistic, or a value more extreme if the null hypothesis is true.

The statement refers to a population and not to a sample.

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Most popular questions from this chapter

Suppose a name-brand drug has been deemed effective for reducing hypertension (high blood pressure). The developing company gets to keep a patent on the drug for a specific period of time before other companies can develop a generic form of the drug. Suppose the patent period is about to expire, and another company produces a generic version of this drug. The Food and Drug Administration (FDA) wants to know whether the generic drug is at least as effective as the name-brand drug in reducing blood pressure.

The following hypotheses will be used:

H0:渭g=渭nvs Ha:渭g<渭n

where

渭g=true mean reduction in blood pressure using the generic drug

渭n=true mean reduction in blood pressure using the name-brand drug. In the context of this situation, which of the following describes a Type I error?

(a) The FDA finds sufficient evidence that the generic drug does not reduce blood pressure as much as the namebrand drug when, in fact, it does not.

(b) The FDA finds sufficient evidence that the generic drug does not reduce blood pressure as much as the namebrand drug when, in fact, it does.

(c) The FDA finds sufficient evidence that the generic drug does reduce blood pressure as much as the namebrand drug when, in fact, it does not.

(d) The FDA finds sufficient evidence that the generic drug does reduce blood pressure as much as the namebrand drug when, in fact, it does.

(e) The FDA does not find sufficient evidence that the generic drug is as effective in reducing blood pressure as the name-brand drug when, in fact, it is.

What percent of U.S. adults have one or more tattoos? The Harris Poll conducted an online survey of 2302adults in January 2008. According to the published report, 鈥淩espondents for this survey were selected from among those who have agreed to participate in Harris Interactive surveys. The pie chart at the top right summarizes the responses from those who were surveyed. Explain why it would not be appropriate to use these data to construct a 95%confidence interval for the proportion of all U.S. adults who have tattoos

Is there significant evidence that selling price increases as appraised value increases? To answer this question, test the hypotheses

(a) H0:尾=0versusHa:尾>0..

(b) H0:尾=0versusHa:尾<0

(c) H0:尾=0versusHa:尾鈮�0

(d) H0:尾>0versusHa=尾=0.

(e)Hx:尾=1versus.H路胃>1

Paired tires Exercise 69 in Chapter 8 (page 519 ) compared two methods for estimating tire wear. The first method used the amount of weight lost by a tire. The second method used the amount of wear in the grooves of the tire. A random sample of 16 tires was obtained. Both methods were used to estimate the total distance traveled by each tire. The scatterplot below displays the two estimates (in thousands of miles) for each tire.

Computer output from a least-squares regression analysis of these data is shown below. Assume that the conditions for regression inference are met.

(a) Verify that the 99% confidence interval for the slope of the population regression line is (0.5785,1.001).

(b) Researchers want to test whether there is a difference between the two methods of estimating tire wear.

Explain why an appropriate pair of hypotheses for this test isH0:尾=1versusHa:尾鈮�1

(c) What conclusion would you draw for this significance test based on your interval in part (a)? Justify your answer.

Snowmobiles (11.2) Do these data provide convincing evidence of an association between environmental club membership and snowmobile use for the population of visitors to Yellowstone National Park? Carry out an appropriate test at the 5% significance level
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