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Chapter 9: Q .8. (page 564)

Stating hypotheses

a. A change is made that should improve student satisfaction with the parking situation at your school. Before the change, 37%of students approve of the parking that's provided. The null hypothesis H0:p鈭�=0.37H0:p^=0.37is tested against the alternative Ha: p鈭�>0.37Ha:p^>0.37

b. A researcher suspects that the mean birth weights of babies whose mothers did not see a doctor before delivery is less than 3000 grams. The researcher states the hypotheses as

H0:渭=3000gramsH0:渭=3000grams

Ha:渭鈮�2999gramsHa:渭鈮�2999grams

Short Answer

Expert verified

The appropriate hypotheses are:

Part (a)H0:p=0.37,Ha:p>0.37

Part (b)H1:p>0.50,Ha:渭<3000

Step by step solution

01

Part (a)Step 1:Given information

H0:渭=3000gramsH0:渭=3000grams

Ha:渭鈮�2999gramsHa:渭鈮�2999grams

02

Part (a) Step 2:Explaination

Inequalities are shown in the null hypothesis not the alternative hypothesis. Here, inequality has been provided in the alternative hypothesis and value of the parameter must be same in both the parameters. So, it is required to replace 2999 by 3000

The hypotheses are:

H0:渭=3000Ha:渭<3000

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Most popular questions from this chapter

Error probabilities and power You read that a significance test at the 伪=0.01

significance level has probability 0.14of making a Type II error when a specific alternative is true.

a. What is the power of the test against this alternative?

b. What鈥檚 the probability of making a Type I error?

Attitudes Refer to Exercise 4. In the study of older students鈥� attitudes, the sample mean SSHA score was 125.7 and the sample standard deviation was 29.8. A significance test yields a P-value of 0.0101.

a. Explain what it would mean for the null hypothesis to be true in this setting.

b. Interpret the P-value.

No homework? Refer to Exercise 1. The math teachers inspect the

homework assignments from a random sample of 50 students at the school. Only 68% of the students completed their math homework. A significance test yields a P-value of 0.1265.

a. Explain what it would mean for the null hypothesis to be true in this setting.

b. Interpret the P-value.

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?

We want to be rich In a recent year, 73%of first-year college students responding to a national survey identified 鈥渂eing very well-off financially鈥� as an important personal goal. A state university finds that 132of an SRS of 200of its first-year students say that this goal is important. Is there convincing evidence at the 伪=0.05significance level that the proportion of all first-year students at this university who think being very well-off is important differs from the national value of 73%?
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