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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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