Question

suppose a survey of 982 major-appliance shoppers found that 31% bought extended warranties. which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey. choose the best statement of the descriptive statistic in the problem. a. there is no association between major-appliance shoppers and buying extended warranties. b. 982 major-appliance shoppers were surveyed. c. about 31% of major-appliance shoppers buy extended warranties. d. 31% of major-appliance shoppers in the sample bought extended warranties. choose the best inference from the given information. a. 982 major-appliance shoppers were surveyed. b. about 31% of major-appliance shoppers buy extended warranties. c. there is no association between major-appliance shoppers and buying extended warranties. d. 31% of major-appliance shoppers in the sample bought extended warranties.

Explanation:

First Question (Descriptive Statistic):

Descriptive statistics summarize sample data. Option D ("31% of major - appliance shoppers in the sample bought extended warranties") describes the sample's warranty - buying percentage, which is descriptive. Option A is about sample size (not a statistic about the variable), B is an inference (generalizing), C is about association (inferential).

Inferential statistics make claims about the population. Option B ("About 31% of major - appliance shoppers buy extended warranties") generalizes the sample result (31% in sample) to all major - appliance shoppers, which is an inference. Option A is sample size, D is sample statistic, C is about association (not an inference from the given info).

Answer:

D. 31% of major - appliance shoppers in the sample bought extended warranties

Second Question (Inference):