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According to a study, the proportion of people who are satisfied with the way things are yo Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (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 quantitative because the number of people satisfied can be counted. OB. The response is qualitative because the number of people satisfied can be counted. OC. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. OD. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. (b) Explain why the sample proportion, p, is a random variable. What is the source of the variability? OA. 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 not be responding to the question truthfully. OB. 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 differen people feel differently regarding their satisfaction. Ne

According to a study, the proportion of people who are satisfied with the way things are yo Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (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 quantitative because the number of people satisfied can be counted. OB. The response is qualitative because the number of people satisfied can be counted. OC. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. OD. The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. (b) Explain why the sample proportion, p, is a random variable. What is the source of the variability? OA. 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 not be responding to the question truthfully. OB. 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 differen people feel differently regarding their satisfaction. Ne

MATLAB: An Introduction with Applications
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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According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.80. Suppose that a random sample of 100 people is obtained
According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.80. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (c) below. *Click here to view the standard normal distribution table (page 1).* *Click here to view the standard normal distribution table (page 2).* --- **(b) Explain why the sample proportion, p̂, is a random variable. What is the source of the variability?** - **O A.** The sample proportion p̂ is a random variable because the value of p̂ 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 p̂ is a random variable because the value of p̂ represents a random person included in the sample. The variability is due to the fact that different people feel differently regarding their satisfaction. - **O C.** The sample proportion p̂ is a random variable because the value of p̂ varies from sample to sample. The variability is due to the fact that different people feel differently regarding their satisfaction. - **O D.** The sample proportion p̂ is a random variable because the value of p̂ 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 p̂, 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 than 5% of the population size and np(1 - p) ≥ 10, the distribution of p̂ is [normal distribution symbol] with μᵖ̂ = [0.80] and σᵖ̂ = [0.040]. [Next Button]
Transcribed Image Text:According to a study, the proportion of people who are satisfied with the way things are going in their lives is 0.80. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (c) below. *Click here to view the standard normal distribution table (page 1).* *Click here to view the standard normal distribution table (page 2).* --- **(b) Explain why the sample proportion, p̂, is a random variable. What is the source of the variability?** - **O A.** The sample proportion p̂ is a random variable because the value of p̂ 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 p̂ is a random variable because the value of p̂ represents a random person included in the sample. The variability is due to the fact that different people feel differently regarding their satisfaction. - **O C.** The sample proportion p̂ is a random variable because the value of p̂ varies from sample to sample. The variability is due to the fact that different people feel differently regarding their satisfaction. - **O D.** The sample proportion p̂ is a random variable because the value of p̂ 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 p̂, 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 than 5% of the population size and np(1 - p) ≥ 10, the distribution of p̂ is [normal distribution symbol] with μᵖ̂ = [0.80] and σᵖ̂ = [0.040]. [Next Button]
**Study on Satisfaction Rates** According to a study, 80% (0.80) of people are satisfied with the way things are going in their lives. Suppose a random sample of 100 people is obtained. **Tasks:** - **View Standard Normal Distribution Tables:** - Page 1 - Page 2 **Question (a):** If a 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. - **Options:** - **A.** The response is quantitative because the number of people satisfied can be counted. - **B.** The response is qualitative because the number of people satisfied can be counted. - **C.** The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. - **D.** The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. **Question (b):** Explain why the sample proportion, \( \hat{p} \), is a random variable. What is the source of variability? - **Options:** - **A.** The sample proportion \( \hat{p} \) is a random variable because the value of \( \hat{p} \) 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 \( \hat{p} \) is a random variable because the value of \( \hat{p} \) represents a random person included in the sample. The variability is due to the fact that different people feel differently regarding their satisfaction. **Instructions:** - Review the options carefully. - Consider the nature of qualitative versus quantitative data. - Understand the concept of sample proportion as a random variable. - Reflect on the sources of variability in survey responses. Finally, select the most appropriate response before proceeding to the next step.
Transcribed Image Text:**Study on Satisfaction Rates** According to a study, 80% (0.80) of people are satisfied with the way things are going in their lives. Suppose a random sample of 100 people is obtained. **Tasks:** - **View Standard Normal Distribution Tables:** - Page 1 - Page 2 **Question (a):** If a 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. - **Options:** - **A.** The response is quantitative because the number of people satisfied can be counted. - **B.** The response is qualitative because the number of people satisfied can be counted. - **C.** The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not. - **D.** The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not. **Question (b):** Explain why the sample proportion, \( \hat{p} \), is a random variable. What is the source of variability? - **Options:** - **A.** The sample proportion \( \hat{p} \) is a random variable because the value of \( \hat{p} \) 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 \( \hat{p} \) is a random variable because the value of \( \hat{p} \) represents a random person included in the sample. The variability is due to the fact that different people feel differently regarding their satisfaction. **Instructions:** - Review the options carefully. - Consider the nature of qualitative versus quantitative data. - Understand the concept of sample proportion as a random variable. - Reflect on the sources of variability in survey responses. Finally, select the most appropriate response before proceeding to the next step.
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