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Chapter 9: Q.7 (page 546)

A change is made that should improve student satisfaction with the parking situation at a local high school. Right now, 37% of students approve of the parking that鈥檚 provided. The null hypothesis H0:p>0.37is tested against the alternativeHa:p=0.37.

Short Answer

Expert verified

The population value is 0.37 as per null hypothesis and population value more than0.37 as per alternative hypothesis, the problem is incorrect according to the hypotheses.

Step by step solution

01

introduction

Given,

37% of students approve of the parking that鈥檚 provided and the hypotheses are tested against one another.

02

explanation

calculating the hypotheses,

population value =0.37as per null hypothesis

鈬�H0:p=0.37

population value more than0.37as per alternative hypothesis

鈬�Ha:p>0.37

The population value =0.37as per null hypothesis and population value more than0.37as per alternative hypothesis, the problem is incorrect according to the hypotheses.

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Most popular questions from this chapter

Explain in plain language why a significance test that is significant at the 1% level must always be significant at the 5% level. If a test is significant at the 5% level, what can you say about its significance at the 1% level?

You read that a statistical test at significance level伪=0.05 has power 0.78. What are the probabilities of Type I and Type II errors for this test?

An SRS of 100 postal employees found that the average time these employees had worked at the postal service was 7years with standard deviation 2years. Do these data provide convincing evidence that the mean time of employment M for the population of postal employees has changed from the value of 7.5 that was true 20years ago? To determine this, we test the hypotheses H0:渭=7.5versus Ha:渭鈮�7.5using a one-sample ttest. What conclusion should we draw at the 5%significance level?

(a) There is convincing evidence that the mean time working with the postal service has changed.

(b) There is not convincing evidence that the mean time working with the postal service has changed.

(c) There is convincing evidence that the mean time working with the postal service is still 7.5 years.

(d) There is convincing evidence that the mean time working with the postal service is now 7years.

(e) We cannot draw a conclusion at the 5% significance level. The sample size is too small.

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The Minitab output below shows the results of a

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(d) Do these data give convincing evidence that the actual population proportion differs from 0.15? Justify your answer with appropriate evidence.

Study more! A student group claims that first-year students at a university study 2.5hours per night during the school week. A skeptic suspects that they study less than that on average. He takes a random sample of 30first-year students and finds that x=137minutes and sx=45minutes. A graph of the data shows no outliers but some skewness. Carry out an appropriate significance test at the 5%significance level. What conclusion do you draw?
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