Pay your taxes: According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was p = 0.326. As part of a tax audit, tax officials draw a simple random sample of n = 130 tax returns. Use the TI-84 Plus calculator as needed. Part 1 of 4 (a) What is the probability that the sample proportion of tax returns for which no tax was paid is less than 0.28? Round the answer to at least four decimal places. The probability that the sample proportion of tax returns for which no tax was paid is less than 0.28 is Part 2 of 4 X S (b) What is the probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.42? Round the answer to at least four decimal places. The probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.42 is X

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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Pay your taxes: According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was p = 0.326.
As part of a tax audit, tax officials draw a simple random sample of n = 130 tax returns. Use the TI-84 Plus calculator as needed.
Part 1 of 4
(a) What is the probability that the sample proportion of tax returns for which no tax was paid is less than 0.28?
Round the answer to at least four decimal places.
The probability that the sample proportion of tax returns for which no tax was paid is less than 0.28 is
Part 2 of 4
S
(b) What is the probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.42?
Round the answer to at least four decimal places.
The probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.42 is
X
5
Transcribed Image Text:Pay your taxes: According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was p = 0.326. As part of a tax audit, tax officials draw a simple random sample of n = 130 tax returns. Use the TI-84 Plus calculator as needed. Part 1 of 4 (a) What is the probability that the sample proportion of tax returns for which no tax was paid is less than 0.28? Round the answer to at least four decimal places. The probability that the sample proportion of tax returns for which no tax was paid is less than 0.28 is Part 2 of 4 S (b) What is the probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.42? Round the answer to at least four decimal places. The probability that the sample proportion of tax returns for which no tax was paid is between 0.35 and 0.42 is X 5
Part 3 of 4
(c) What is the probability that the sample proportion of tax returns for which no tax was paid is greater than 0.31?
Round the answer to at least four decimal places.
The probability that the sample proportion of tax returns for which no tax was paid is greater than 0.31 is
Part 4 of 4
X
(d) Using a cutoff of 0.05, would it be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.28?
Since the probability 0.1315 is (Choose one) ▼ the cutoff, 0.05, it (Choose one) be unusual if the sample proportion of tax
returns for which no tax was paid was less than 0.28.
X
Transcribed Image Text:Part 3 of 4 (c) What is the probability that the sample proportion of tax returns for which no tax was paid is greater than 0.31? Round the answer to at least four decimal places. The probability that the sample proportion of tax returns for which no tax was paid is greater than 0.31 is Part 4 of 4 X (d) Using a cutoff of 0.05, would it be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.28? Since the probability 0.1315 is (Choose one) ▼ the cutoff, 0.05, it (Choose one) be unusual if the sample proportion of tax returns for which no tax was paid was less than 0.28. X
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