A survey was designed to study how business operations vary according to their size. Companies were classified as small, medium, or large. Questionnaires were sent to 200 randomly selected businesses of each size. Since not all questionnaires in a survey of this type are returned, researchers decided to investigate the relationship between the response rate and the size of the business. The data are given in the following two-way table.

What percent of all small companies receiving questionnaires responded? (a)12.5%(c)33.3%(e)62.5%(b)20.8%

Short Answer

Expert verified

The correct option is (e) 62.5%

Step by step solution

01

Given information

The table is

SizeResponseNo responseTotal
Small12575200
Medium81119200
Large40160200
02

Concept

Statistical Measures are a descriptive-analytical technique that provides an overview of a data set's properties.

03

Calculation

We have 125people based on the information provided.

According to the information provided, 125 small businesses responded to the 200 questions. As a result, the following formula is used to calculate the Percent=125200×100=0.625×100=62.5%

Therefore, 62.5% of small companies receiving questionnaires responded.

The correct option is (b).

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