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Chapter 8: Q.27 (page 496)

Rating dorm food Latoya wants to estimate what proportion of the seniors at her high school like the cafeteria food. She interviews an SRS of 50of the 175 seniors living in the dormitory. She finds that 14 think the cafeteria food is good.

Short Answer

Expert verified

All three conditions for confidence interval is not satisfied

Step by step solution

01

Step-1 Given Information

Given in the question that,

Sample size=50

Total number of seniors=175

number of success=14we have to check whether each of the conditions is met for calculating a confidence interval for the population proportionp.

02

Step-2 Explanation

Three conditions must be met in order to construct a confidence interval. Random, Independent, and NormaL are the conditions.

Since Latoya interviewed seniors staying in the dormitory at random, the condition of randomness has been satisfied. The sample size is greater than 10%of the total number of seniors in the hostel. As a result, the 10%criterion is not met. As a result, the criteria for independence is not met. The survey's success rate is 14percent, which is higher than the national average of 10percent. As a result, the typical condition is met. As a result, none of the three confidence interval conditions are met.

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Most popular questions from this chapter

The weights (in pounds) of three adult males are 160,215and195. The standard error of the mean of these three weights is

(a) 190

(b) 27.84

(c) 22.73

(d) 16.07

(e)13.13

What critical value t鈰�from Table B would you use for a 90%confidence interval for the population mean based on an SRS of size 77? If possible, use technology to find a more accurate value of t鈰�. What advantage does the more accurate df provide?

Abstain from drinking In a Harvard School of Public Health survey, 2105 of 10,904 randomly selected U.S. college students were classified as abstainers (nondrinkers).

(a) Construct and interpret a 99% confidence interval forp. Follow the four-step process.

(b) A newspaper article claims that 25% of U.S. college students are nondrinkers. Use your result from (a) to comment on this claim.

In each of the following settings, check whether the conditions for calculating a confidence interval for the population proportion p are met.

1. An AP Statistics class at a large high school conducts a survey. They ask the first 100 students to arrive at school one morning whether or not they slept at least 8 hours the night before. Only 17 students say "Yes."

2. A quality control inspector takes a random sample of 25 bags of potato chips from the thousands of bags filled in an hour. Of the bags selected, 3 had too much salt.

In a poll,

I. Some people refused to answer questions.

II. People without telephones could not be in the sample.

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(d) I, II, and III

(e) None of these

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