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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 鈥渢wo-sample z test for the difference between two proportions.鈥 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

Expert verified

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

T11.5. We compute the value of the2statistic to be 6.58. Assuming that the conditions for inference are met, the P-value of our test is

(a) greater than 0.20

(b) between 0.10and 0.20.

(c) between 0.05and 0.10.

(d) between0.01 and 0.05

(e) less than 0.01

Roulette Casinos are required to verify that their games operate as advertised. American roulette wheels have 38slots18red, 18black, and 2green In one casino, managers record data from a random sample of spins of one of their American roulette wheels. The one-way table below displays the results.

(a) State appropriate hypotheses for testing whether these data give convincing evidence that the distribution of outcomes on this wheel is not what it should be.

(b) Calculate the expected counts for each color. Show your work.

Mars, Inc., reports that their M&M鈥橲 Peanut Chocolate Candies are produced according to the following color distribution: 23% each of blue and orange, 15% each of green and yellow, and 12% each of red and brown. Joey bought a bag of Peanut Chocolate Candies and counted the colors of the candies in his sample: 12 blue, 7 orange, 13 green, 4 yellow, 8 red, and 2 brown.

Calculate the expected count for each color, assuming that the company鈥檚 claim is true. Show your work.

A survey by the National Institutes of Health asked a random sample of young adults (aged 19 to 25 years), 鈥淲here do you live now? That is, where do you stay most often?鈥 Here is the full two-way table (omitting a few who refused to answer and one who claimed to be homeless):

a) Should we use a chi-square test for homogeneity or a chi-square test of association/independence in this setting? Justify your answer.

(b) State appropriate hypotheses for performing the type of test you chose in part (a). Minitab output from a chi-square test is shown below

(c) Check that the conditions for carrying out the test are met.

(d) Interpret the P-value in context. What conclusion would you draw?

32. How are schools doing? Refer to Exercises 28 and 30 .

(a) Check that the conditions for performing the chi-square test are met.

(b) Use Table Cto find the P-value. Then use your calculator's 2cdfcommand.

(c) Interpret the P-value from the calculator in context.

(d) What conclusion would you draw? Justify your answer.

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