According to a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is

0.78.

Suppose that a random sample of

100

people is obtained. Complete parts (a) through (e) below.

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Part 1

(a) Suppose the random sample of

100

people is asked, "Are you satisfied with the way things are going in your life?" Is the response to this question qualitative or quantitative? Explain.

A.

The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not.

B.

The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

This is the correct answer.

C.

The response is quantitative because the number of people satisfied can be counted.

Your answer is not correct.

D.

The response is qualitative because the number of people satisfied can be counted.

Part 2

(b) Explain why the sample proportion,

p,

is a random variable. What is the source of the variability?

A.

The sample proportion

p

is a random variable because the value of

p

varies from sample to sample. The variability is due to the fact that different people feel differently regarding their satisfaction.

B.

The sample proportion

p

is a random variable because the value of

p

varies from sample to sample. The variability is due to the fact that people may not be responding to the question truthfully.

C.

The sample proportion

p

is a random variable because the value of

p

represents a random person included in the sample. The variability is due to the fact that people may not be responding to the question truthfully.

D.

The sample proportion

p

is a random variable because the value of

p

represents a random person included in the sample. The variability is due to the fact that different people feel differently regarding their satisfaction.

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AAccording to a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is

0.78.

Suppose that a random sample of

100

people is obtained. Complete parts (a) through (e) below.

Question content area bottom

Part 1

(a) Suppose the random sample of

100

people is asked, "Are you satisfied with the way things are going in your life?" Is the response to this question qualitative or quantitative? Explain.

A.

The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not.

B.

The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

This is the correct answer.

C.

The response is quantitative because the number of people satisfied can be counted.

Your answer is not correct.

D.

The response is qualitative because the number of people satisfied can be counted.

Part 2

(b) Explain why the sample proportion,

p,

is a random variable. What is the source of the variability?

A.

The sample proportion

p

is a random variable because the value of

p

varies from sample to sample. The variability is due to the fact that different people feel differently regarding their satisfaction.

B.

The sample proportion

p

is a random variable because the value of

p

varies from sample to sample. The variability is due to the fact that people may not be responding to the question truthfully.

C.

The sample proportion

p

is a random variable because the value of

p

represents a random person included in the sample. The variability is due to the fact that people may not be responding to the question truthfully.

D.

The sample proportion

p

is a random variable because the value of

p

represents a random person included in the sample. The variability is due to the fact that different people feel differently regarding their satisfaction.

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