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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.

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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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.
 
 
 
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. ... (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 than 5% of the population size and np(1 - p) = 2 10, the distribution of p is with Ha = and on = (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 0.82? The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.82 is (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 70 or fewer people in the sample are satisfied with their lives? The probability that 70 or fewer people in the sample are satisfied is which unusual because this probability less than %. (Round to four decimal places as needed.)
Transcribed Image Text: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. ... (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 than 5% of the population size and np(1 - p) = 2 10, the distribution of p is with Ha = and on = (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 0.82? The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.82 is (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 70 or fewer people in the sample are satisfied with their lives? The probability that 70 or fewer people in the sample are satisfied is which unusual because this probability less than %. (Round to four decimal places as needed.)
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