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From previous studies, it is concluded that 40% of workers indicate that they are mildly satisfied with their job. A researcher claims that the proportion is smaller than 40% and decides to survey 500 working adults. Test the researcher's claim at the a = 0.005 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? O No Yes OT b. Verify np(1 - p) ≥ 10. Round your answer to one decimal place. np(1 - p) Test the claim: = a. The null and alternative hypotheses are Ο Ho: μ 2 0.4 Ha:μ < 0.4 O Ho:p ≤ 0.4 Ha:p> 0.4 O Ho: p = 0.4 Ha:p 0.4 Ho:μ = 0.4 Ha: μ = 0.4 b. The test is left-tailed Ho:p> 0.4 Ha:p < 0.4 Ο Ho: μ < 0.4 Ha: μ > 0.4 c. Based on the sample of 500 people, 32% workers indicate that they are mildly satisfied with their job. What is the test statistic? Round your answer to two decimal places. Z= V 08 d. What is the p-value? Round your answer to four decimal places.

From previous studies, it is concluded that 40% of workers indicate that they are mildly satisfied with their job. A researcher claims that the proportion is smaller than 40% and decides to survey 500 working adults. Test the researcher's claim at the a = 0.005 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? O No Yes OT b. Verify np(1 - p) ≥ 10. Round your answer to one decimal place. np(1 - p) Test the claim: = a. The null and alternative hypotheses are Ο Ho: μ 2 0.4 Ha:μ < 0.4 O Ho:p ≤ 0.4 Ha:p> 0.4 O Ho: p = 0.4 Ha:p 0.4 Ho:μ = 0.4 Ha: μ = 0.4 b. The test is left-tailed Ho:p> 0.4 Ha:p < 0.4 Ο Ho: μ < 0.4 Ha: μ > 0.4 c. Based on the sample of 500 people, 32% workers indicate that they are mildly satisfied with their job. What is the test statistic? Round your answer to two decimal places. Z= V 08 d. What is the p-value? Round your answer to four decimal places.

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
Section: Chapter Questions
Problem 8CR
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From previous studies, it is concluded that 40% of workers indicate that they are mildly satisfied with their job. A researcher claims that the proportion is smaller than 40% and decides to survey 500 working adults. Test the researcher's claim at the a = 0.005 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? O No Yes b. Verify np(1 − p) ≥ 10. Round your answer to one decimal place. np(1 - p) = Test the claim: a. The null and alternative hypotheses are O Ho:p ≤ 0.4 Ha:p > 0.4 Ho: μ > 0.4 Ha:μ < 0.4 α Ho:p 0.4 Ha:p #0.4 O Ho:μ = 0.4 Ha:µ‡ 0.4 b. The test is left-tailed = Z= V Ho:p> 0.4 Ha:p < 0.4 Ο Ho: μ < 0.4 Ha: μ > 0.4 c. Based on the sample of 500 people, 32% workers indicate that they are mildly satisfied with their job. What is the test statistic? Round your answer to two decimal places. d. What is the p-value? Round your answer to four decimal places.
Transcribed Image Text:From previous studies, it is concluded that 40% of workers indicate that they are mildly satisfied with their job. A researcher claims that the proportion is smaller than 40% and decides to survey 500 working adults. Test the researcher's claim at the a = 0.005 significance level. Preliminary: a. Is it safe to assume that n ≤ 0.05 of all subjects in the population? O No Yes b. Verify np(1 − p) ≥ 10. Round your answer to one decimal place. np(1 - p) = Test the claim: a. The null and alternative hypotheses are O Ho:p ≤ 0.4 Ha:p > 0.4 Ho: μ > 0.4 Ha:μ < 0.4 α Ho:p 0.4 Ha:p #0.4 O Ho:μ = 0.4 Ha:µ‡ 0.4 b. The test is left-tailed = Z= V Ho:p> 0.4 Ha:p < 0.4 Ο Ho: μ < 0.4 Ha: μ > 0.4 c. Based on the sample of 500 people, 32% workers indicate that they are mildly satisfied with their job. What is the test statistic? Round your answer to two decimal places. d. What is the p-value? Round your answer to four decimal places.
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