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Chapter 9: Q 22. (page 565)

Philly fanatics? Nationally, the proportion of red cars on the road is 0.12.A statistically minded fan of the Philadelphia Phillies (whose team color is red) wonders if Phillies fans are more likely to drive red cars. One day during a home game, he takes a random sample of 210cars parked at Citizens Bank Park (the Phillies home field), and counts 35red cars.

a. State appropriate hypotheses for performing a significance test. Be sure to define the parameter of interest.

b. Explain why there is some evidence for the alternative hypothesis.

c. The P-value for the test in (a) is 0.0187. Interpret the P-value.

d. What conclusion would you make at the 伪=0.05 significance level?

Short Answer

Expert verified

a. H0:p=0.12and H1:p>0.12

b. Sample proportion is greater than 0.12and it corresponds to claim of alternative hypothesis.

c. There is a 1.87%confidence that 35or more out of 210randomly selected Phillies fans own a red car.

d. Enough convincing proof is present that the proportion of red cars among Phillies fans is greater than 0.12..

Step by step solution

01

Part (a) Step 1: Given Information

It is given that claim is greater than0.12.

02

Part (a) Step 2: Explanation

am

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