An employee survey conducted by a company two years ago found that 51% of its employees were concerned about future health care benefits. A random sample of 75 of these employees were asked if they were now concerned about future health care benefits. Answer the following, assuming that there has been no change in the level of concern about health care benefits compared to the survey two years ago. a. What is the standard error of the sample proportion who are concerned? b. What is the probability that the sample proportion is less than 0.50? c. What is the upper limit of the sample proportion such that only 5% of the time the sample proportion would exceed this value? Click the icon to view the standard normal table. a. The standard error of the sample proportion is (Round to five decimal places as needed.) b. The probability that the sample proportion is less than 0.50 is. (Round to four decimal places as needed.) c. The upper limit of the sample proportion is. (Round to two decimal places as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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An employee survey conducted by a company two years ago found that 51% of its employees were concerned about future health care benefits. A random sample of 75 of these employees were asked if they were now concerned about future
health care benefits. Answer the following, assuming that there has been no change in the level of concern about health care benefits compared to the survey two years ago.
a. What is the standard error of the sample proportion who are concerned?
b. What is the probability that the sample proportion is less than 0.50?
c. What is the upper limit of the sample proportion such that only 5% of the time the sample proportion would exceed this value?
Click the icon to view the standard normal table.
...
a. The standard error of the sample proportion is
(Round to five decimal places as needed.)
b. The probability that the sample proportion is less than 0.50 is
(Round to four decimal places as needed.)
c. The upper limit of the sample proportion is
(Round to two decimal places as needed.)
Transcribed Image Text:An employee survey conducted by a company two years ago found that 51% of its employees were concerned about future health care benefits. A random sample of 75 of these employees were asked if they were now concerned about future health care benefits. Answer the following, assuming that there has been no change in the level of concern about health care benefits compared to the survey two years ago. a. What is the standard error of the sample proportion who are concerned? b. What is the probability that the sample proportion is less than 0.50? c. What is the upper limit of the sample proportion such that only 5% of the time the sample proportion would exceed this value? Click the icon to view the standard normal table. ... a. The standard error of the sample proportion is (Round to five decimal places as needed.) b. The probability that the sample proportion is less than 0.50 is (Round to four decimal places as needed.) c. The upper limit of the sample proportion is (Round to two decimal places as needed.)
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