A politician who is running for the office of mayor of Rive

. A politician who is running for the office of mayor of Riverside with 30,000 registered voters commissions a survey. In the survey, 62% of the 300 registered voters interviewed say they plan to vote for her. (Hint: A descriptive measure of population is called a parameter, and a descriptive measure of sample is a statistic) a. What is the population of interest? b. What is the sample? c. Is the value 62% parameter or a statistic? Please explain. 2. The president of James Inc. claims that less than 5% of its products are defective. When 2,000 products were drawn from a large production, 3.5% were found to be defective. a. What is the population of interest? b. What is the sample? c. What is the parameter? d. What is the statistic? e. Does the value 5% a parameter or statistic? Explain why. f. Explain how the statistic can be used to make inferences about the parameter to test the claim 3. The commerce Department reported receiving the following application for the Malcolm Baldrige National Quality Award: 23 from large manufacturing firms, 18 from large service firms, and 30 from small businesses. a. Is type of business a categorical or quantitative variable? b. What percentage of the applications came from small business?

Solution

1)

a) Population of Interest: 30000 registered voters in Riverside

b) Sample: 300 registered voters in Riverside

c) It is a statistic because it was obtained from the sample (300 voters)

2)

a) Population of Interest: All James, Inc products

b) Sample: 2000 products selected

c) Parameter: less than 5% of products are defective

d) Statistic: 3.5% of sampled products were defective

e) 5% is a parameter because it describes the entire population

f) You can use the statistic 3.5% to find the standard error and make a confidence interval or find a p-value to test the claim.

3)

a) Type of business is a categorical variable

b) Total applications: 23 + 18 + 30 = 71

percent from small businesses: 30/71 = 42.25%