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Chapter 11: Q. 61 (page 759)

Inference recap (8.1to 11.2) In each of the following settings, state which inference procedure from Chapter 8,9,10,or11you would use. Be specific. For example, you might answer, 鈥淭wo-sample z test for the difference between two proportions.鈥� You do not have 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 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 300 blondes and 300 nonblondes were asked whether they have a boyfriend.

Short Answer

Expert verified

a. One-sample t interval for the mean should be used.

b. Z-test of proportion for two sample should be used.

Step by step solution

01

Part (a) Step 1 : Given information

We have to explain which test will be applicable from inference.

02

Part (a) Step 2 : Simplification

Whenitcomestoelections,whatisthetypicalvoterturnout?
The percentage of registered voters who voted in the most recent election was requested from a random sample of 33cities.
First, we must make a list of the hypothesis tests that we have learned.
For a single sample, the Z-test or proportion interval is used. For two samples, the Z-test or proportion interval is used. T-test or mean interval for a single sample. T-test or mean interval for two samples. Mean paired t-test for two samples. The Chi-square test for homogeneity or independence. It is necessary to check the average voter in the given scenario.
That is to say, you are interested in the average of one sample. As a result, the mean should be calculated using a one-sample t interval.
03

Part (b) Step 1 : Given information

We have to explain which test will be applicable from inference.

04

Part (b) Step 2 : Simplification

Are blondes more likely than the rest of the single world to have a boyfriend? 300blondes and 300nonblondes were randomly selected and asked if they had a boyfriend.
First, we must make a list of the hypothesis tests that we have learned. For a single sample, the Z-test or proportion interval is used. For two samples, the Z-test or proportion interval is used. T-test or mean interval for a single sample. T-test or mean interval for two samples. Mean paired t-test for two samples. The Chi-square test for homogeneity or independence. Check rises in the difference of two proportions of two samples in the provided example.
As a result, the proportion Z-test for two samples should be utilized.

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Most popular questions from this chapter

The National Longitudinal Study of Adolescent Health interviewed a random sample of 4877teens (grades 7to 12). One question asked, 鈥淲hat do you think are the chances you will be married in the next 10years?鈥� Here is a two-way table of the responses by gender:

Which of the following is the expected count of females who respond 鈥淎lmost certain鈥�?

a.487.7

b.525

c. 965

d.1038.8

e.1174

Roulette Refer to Exercise 2.

a. Confirm that the expected counts are large enough to use a chi-square distribution to calculate the P-value. What degrees of freedom should you use?

b. Use Table C to find the P-value. Then use your calculator鈥檚 蠂2 cdf command.

c. What conclusion would you draw about whether or not the roulette wheel is operating correctly?

Sorry, no chi-square How do U.S. residents who travel overseas for leisure differ from

those who travel for business? The following is the breakdown by occupation.

Occupation
Leisure travelers (%)
Business travelers (%)
Professional/technical
36
39
Manager/executive
23
48
Retired
14
3
Student
7
3
Other
20
7
Total
100
100

Explain why we can鈥檛 use a chi-square test to learn whether these two distributions differ

significantly.

The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the new school year. She wants to know if each type of food will be equally popular so she can start ordering supplies and making other plans. To find out, she selects a random sample of 100students and asks them, 鈥淲hich type of food do you prefer: Ramen, tacos, pizza, or hamburgers?鈥� Here are her data:

The chi-square test statistic is

a. (18鈭�25)225+(22鈭�25)225+(39鈭�25)225+(21鈭�25)225

b. (25鈭�18)218+(25鈭�22)222+(25鈭�39)239+(25鈭�21)221

c. (18鈭�25)25+(22鈭�25)25+(39鈭�25)25+(21鈭�25)25

d. (18鈭�25)2100+(22鈭�25)2100+(39鈭�25)2100+(21鈭�25)2100

e. (0.18鈭�0.25)20.25+(0.22鈭�0.25)20.25+(0.39鈭�0.25)20.25+(0.21鈭�0.25)20.25

Which of the following is the correct number of degrees of freedom for the chi-square test using these data?

a.4

b.8

c. 10

d.20

e.4876
See all solutions

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