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. Since the sample size is no more than 5% of the population size and np(1 - p) = 17.16 2 10, the distribution of p is approximately normal with Ha = 0.780 and On = 0.041 p (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 0.2327. (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 V unusual because this probability V less than V%. (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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 0.78. Suppose that
a random sample of 100 people is obtained. Complete parts (a) through (e) below.
Since the sample size is no more than 5% of the population size and np(1 - p)= 17.16 2 10, the distribution of p is approximately normal with µa = 0.780 and
On = 0.041.
(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 0.2327.
(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.)
Best Converter
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. Since the sample size is no more than 5% of the population size and np(1 - p)= 17.16 2 10, the distribution of p is approximately normal with µa = 0.780 and On = 0.041. (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 0.2327. (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.) Best Converter
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