just the last part thank you! 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 0.84. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e)below.O B. The response is quantitative because the number of people satisfied can be counted.O C. The response is qualitative because the number of people satisfied can be counted.OD. The response is qualitative 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?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 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 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.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 different people feel differently regarding their satisfaction.(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 more than 5% of the population size and np(1 - p) = 13.44 2 10, the distribution of p is approximately normal with Ha = 0.84 and oa = 0.037.(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 0.88?The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.88 is 0.1401.(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 77 or fewer people in the sample are satisfied with their lives?The probability that 77 or fewer people in the sample are satisfied iswhichV unusual because this probabilityV less thanV%.(Round to four decimal places as needed.)

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(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 77 or fewer people in the sample are satisfied with their lives? The probability that 77 or fewer people in the sample are satisfied is which V unusual because this probability V less than (Round to four decimal places as needed.)

(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 77 or fewer people in the sample are satisfied with their lives? The probability that 77 or fewer people in the sample are satisfied is which V unusual because this probability V less than (Round to four 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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just the last part thank you!

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 0.84. Suppose that a random sample of 100 people is obtained. Complete parts (a) through (e)
below.
O B. The response is quantitative because the number of people satisfied can be counted.
O C. The response is qualitative because the number of people satisfied can be counted.
OD. The response is qualitative 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?
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 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 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.
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 different people feel differently regarding their satisfaction.
(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 more than 5% of the population size and np(1 - p) = 13.44 2 10, the distribution of p is approximately normal with Ha = 0.84 and oa = 0.037.
(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 0.88?
The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.88 is 0.1401.
(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 77 or fewer people in the sample are satisfied with their lives?
The probability that 77 or fewer people in the sample are satisfied is
which
V unusual because this probability
V less than
V%.
(Round to four decimal places as needed.)

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