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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. (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 Ha = and (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 0.81? The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.81 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 72 or fewer people in the sample are satisfied with their lives? %. The probability that 72 or fewer people in the sample are satisfied is , which Round to four decimal places as needed.) V unusual because this probability V less than

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 V than 5% of the population size and np(1 - p) = 2 10, the distribution of p is V with Ha = and (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 0.81? The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.81 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 72 or fewer people in the sample are satisfied with their lives? %. The probability that 72 or fewer people in the sample are satisfied is , which Round to four decimal places as needed.) V unusual because this probability V less than

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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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 µa = 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 0.81? The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.81 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 72 or fewer people in the sample are satisfied with their lives? The probability that 72 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 µa = 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 0.81? The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.81 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 72 or fewer people in the sample are satisfied with their lives? The probability that 72 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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