Inference recap (8.1to11.2)In each of the following settings, say which inference procedure from Chapter 8,9,10,or11you would use. Be specific. For example, you might say “two-sample z test for the difference between two proportions.” You do not need to carry out any procedures.

(a) What is the average voter turnout during an election? A random sample of 38cities was asked to report the percent of registered voters who actually voted in the most recent election.

(b) Are blondes more likely to have a boyfriend than the rest of the single world? Independent random samples of 300blondes and 300 nonblondes were asked whether they have a boyfriend.

Short Answer

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a). The Ztest used when SD is known and the Ttest is used when SD is unknown.

b). The difference between two proportions is given by two-sample Z test.

Step by step solution

01

Part (a) Step 1: Given Information

A random sample of 38 cities was asked to report the percent of registered voters who actually voted in the most recent election.

02

Part (a) Step 2: Explanation

During an election, perform the following test to determine the average voter turnout:

The average voter turnout during an election is of particular importance to the investigator.

The researcher took a random sample of 38cities and calculated the percentage of registered voters who voted in the most recent election.

When the population standard deviation is known, the sample Z-test for the single mean is applied.

The population standard deviation is unknown because just one sample of T-test for a single mean is employed.

03

Part (b) Step 1: Given Information

The Independent random samples of 300 blondes and 300 non blondes were asked whether they have a boyfriend.

04

Part (b) Step 2: Explanation

To see if blondes are more likely than the rest of the single world to have a boyfriend, do the following: The researcher is particularly interested in seeing if blondes are more likely than the rest of the single world to have a boyfriend.

The researcher chose two separate random samples of 300blondes and 300nonblondes and asked them if they had a boyfriend or not.

Since the samples are large, then we takez-test.

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Most popular questions from this chapter

A study conducted in Charlotte, North Carolina, tested the effectiveness of three police responses to spouse abuse: (1) advise and possibly separate the couple, (2) issue a citation to the offender, and (3) arrest the offender. Police officers were trained to recognize eligible cases. When presented with an eligible case, a police officer called the dispatcher, who would randomly assign one of the three available treatments to be administered. There were a total of 650 cases in the study. Each case was classified according to whether the abuser was subsequently arrested within six months of the original incident.

(a) Explain the purpose of the random assignment in the design of this study.

(b) Construct a well-labeled graph that is suitable for comparing the effectiveness of the three treatments.

(c) We want to use these data to perform a test ofH0:p1=p2=p3wherepi=

the true proportion of spouse abusers like the ones in this study who would be arrested again within six months after receiving treatment \(i\). State an appropriate alternative hypothesis.

(d) Assume that all the conditions for performing the test in part (b) are met. The test yields χ2=5.063and a P-value of 0.0796Interpret this P-value in context. What conclusion should we draw from the study?

The General Social Survey asked a random sample of adults, “Do you favour or oppose the death penalty for persons convicted of murder?” The following table gives the responses of people whose highest education was a high school degree and of people with a bachelor’s degree:

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(a) Minitab output for a chi-square test is shown below. State appropriate hypotheses and interpret the P-value in context. What conclusion would you draw? Chi-Square Test: C1, C2 Expected counts are printed below-observed counts Chi-Square contributions are printed below expected counts

(b) Minitab output for a two-sample z test is shown below. Explain how these results are consistent with the test in part (a).

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(a) Make a bar graph that compares opinions about astrology for the three education categories. Describe what you see.

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State appropriate hypotheses for testing the company’s claim about the color distribution of peanut M&MS.

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