Question

suppose a survey of 915 major-appliance shoppers found that 25% 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. about 25% of major-appliance shoppers buy extended warranties.
b. 25% of major-appliance shoppers in the sample bought extended warranties.
c. there is no association between major-appliance shoppers and buying extended warranties.
d. 915 major-appliance shoppers were surveyed.

choose the best inference from the given information.
a. about 25% of major-appliance shoppers buy extended warranties.
b. 915 major-appliance shoppers were surveyed.
c. 25% of major-appliance shoppers in the sample bought extended warranties.
d. there is no association between major-appliance shoppers and buying extended warranties.

Explanation:

First Sub - Question (Descriptive Statistic)

Descriptive statistics summarize or describe a sample's characteristics. Option B ("25% of major - appliance shoppers in the sample bought extended warranties") describes the proportion of the surveyed (sample) shoppers who bought warranties. Option A is an inference about the population, Option C is incorrect (no info on association), Option D just states the sample size (not a descriptive statistic about the warranty - buying proportion).

Inference uses sample data to make statements about the population. Option A ("About 25% of major - appliance shoppers buy extended warranties") infers the population proportion from the sample's 25%. Option B is about sample size (descriptive), Option C is descriptive (about sample), Option D is incorrect (no association shown).

Answer:

B. 25% of major - appliance shoppers in the sample bought extended warranties

Second Sub - Question (Inference)