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 0.88. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. (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 qualitative because the responses can be classified based on the characteristic of being satisfied or not. B. The response is quantitative because the number of people satisfied can be counted. C. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. D. The response is qualitative because the number of people satisfied can be counted. (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 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. 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 different people feel differently regarding their satisfaction. 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 different people feel differently regarding their satisfaction. D. 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) Describe the sampling distribution of p, the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements. Since the sample size is ▼ no less no more than 5% of the population size and np(1−p)=nothing≥10, the distribution of p is ▼ skewed left uniform skewed right approximately normal with μp=nothing and σp=nothing. (Round to three decimal places as needed.)

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 0.88. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e) below. (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 qualitative because the responses can be classified based on the characteristic of being satisfied or not. B. The response is quantitative because the number of people satisfied can be counted. C. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. D. The response is qualitative because the number of people satisfied can be counted. (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 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. 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 different people feel differently regarding their satisfaction. 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 different people feel differently regarding their satisfaction. D. 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) Describe the sampling distribution of p, the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements. Since the sample size is ▼ no less no more than 5% of the population size and np(1−p)=nothing≥10, the distribution of p is ▼ skewed left uniform skewed right approximately normal with μp=nothing and σp=nothing. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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

0.88.

Suppose that a random sample of

100

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

(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.

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

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

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

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

(b) Explain why the sample proportion,

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

The sample proportion

is a random variable because the value of

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.

The sample proportion

is a random variable because the value of

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

The sample proportion

is a random variable because the value of

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

The sample proportion

is a random variable because the value of

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

the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements.

Since the sample size is

▼

no less

no more

than 5% of the population size and

np(1−p)=nothing≥10,

the distribution of

▼

skewed left

uniform

skewed right

approximately normal

with

μp=nothing

and

σp=nothing.

(Round to three decimal places as needed.)

(d) In the sample obtained in part (a), what is the probability that the proportion who are satisfied with the way things are going in their life exceeds

0.92?

The probability that the proportion who are satisfied with the way things are going in their life exceeds

0.92

nothing.

(Round to four decimal places as needed.)

(e) Using the distribution from part (c), would it be unusual for a survey of 100 people to reveal that

or fewer people in the sample are satisfied with their lives?

The probability that

or fewer people in the sample are satisfied is

nothing,

which

▼

is not

unusual because this probability

▼

is not

less than

▼

0.05

0.5

(Round to four decimal places as needed.)

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 0.88. Suppose that a random sample of 100 people is obtained. Complete parts
(a) through (e) below.
(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.
O A. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.
O B. The response is quantitative because the number of people satisfied can be counted.
OC. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not.
O D. The response is qualitative because the number of people satisfied can be counted,
(b) Explain why the sample proportion, p, is a random variable. What is the source of the variability?
O A. 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.
O 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 different people feel differently regarding their satisfaction.
O 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 different people feel differently regarding their satisfaction.
O D. 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) Describe the sampling distribution of p, the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the model requirements.
Since the sample size is
V than 5% of the population size and np(1- p) =2 10, the distribution of p is
V with ua = and oa =
(Round to three decimal places as needed.)
(d) In the sample obtained in part (a), what is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.92?

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