From previous studies, it is concluded that 40% of workers indicate that they are mildly satisfied with theirjob. 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 NoYesb. Verify np(1 − p) ≥ 10. Round your answer to one decimal place.np(1 - p) =Test the claim:a. The null and alternative hypotheses areO Ho:p ≤ 0.4Ha:p > 0.4Ho: μ > 0.4Ha:μ < 0.4αHo:p0.4Ha:p #0.4O Ho:μ = 0.4Ha:µ‡ 0.4b. The test isleft-tailed=Z= VHo:p> 0.4Ha:p < 0.4Ο Ho: μ < 0.4Ha: μ > 0.4c. Based on the sample of 500 people, 32% workers indicate that they are mildly satisfied with theirjob. 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.

We have given that n = 500 p = 0.40 Significance level (α) = 0.05

Answered: From previous studies, it is concluded…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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represents the summary statistics for 44 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n = 44; = 40.76 pounds; s = 5.12 pounds a) kdentify the null and alternative hypotheses? Ho: =V 40 H.:p>v40 b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed O two-tailed c) Identify the appropriate significance level. 0.05 d) Calculate your test statistic. (Round your final answer to two decimal places.) e) Calculate your p-value. (Round your final answer to four decimal places.) f) Do you reject the null hypothesis? O We reject the null hypothesis, since the p-value is less than the significance level. O We reject the null hypothesis, since the p-value is not less than the significance level. O We do not reject the null hypothesis, since the p-value is less than the significance level. O We do not reject the…
A poll of 2,122 randomly selected adults showed that 93% of them own cell phones. The technology display below results from a test of the claim that 92% of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.05 significance level to complete parts (a) through (e). Test of p = 0.92 vs p *0.92 Sample X 1 N 2,122 1970 Sample p 0.928369 95% CI The P-value is (Round to three decimal places as needed.) (0.917397,0.939341) a. Is the test two-tailed, left-tailed, or right-tailed? O Two-tailed test O Left-tailed test O Right tailed test b. What is the test statistic? The test statistic is (Round to two decimal places as needed.) c. What is the P-value? Z-Value 1.42 P-Value 0.155
You wish to test the following claim (Ha) at a significance level of a = 0.05. Но : и — 75.4 Ha:µ > 75.4 а You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 8 with mean a 83.4 and a standard deviation of s = 11.9. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a O greater than a
From previous studies, it is concluded that 90% of phone numbers in a certain city are unlisted. A researcher claims that the proportion is smaller than 90% and decides to survey 800 working adults. Test the researcher's claim at the a = 0.01 significance level. Preliminary: a. Is it safe to assume that n 10. Round your answer to one decimal place. пр(1 — р) %3 Test the claim: a. The null and alternative hypotheses are OHọ: u = 0.9 Ha:µ + 0.9 Но: и 0.9 O Ho:p 2 0.9 Ha:p 0.9 Ha:µ 0.9 b. The test is Select an answer c. Based on the sample of 800 people, 81% phone numbers in a certain city are unlisted. What is the test statistic? Round your answer to two decimal places. ? V d. What is the p-value? Round your answer to four decimal places. e. Make a decision. Do not reject the null hypothesis. Reject the null hypothesis. f. Make a conclusion. O There is sufficient evidence that the proportion of people who phone numbers in a certain city are unlisted is smaller than 90% at the a =…
The average amount of time it takes for couples to further communicate with each other after their first date has ended is 2.35 days. Is this average different for blind dates? A researcher interviewed 70 couples who had recently been on blind dates and found that they averaged 2.5 days to communicate with each other after the date was over. Their standard devlation was 0.655 days. What can be concluded at the the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answerv H: ?vSelect an answerv c. The test statistic ?v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean is not significantly different from 2.35 at a = 0.10, so there is statistically…
The following data represent a sample of people's smoking habits and their usage of seat belts while in a car. A researcher wants to determine whether smoking habits and seat belt usage are related. Test the researcher's claim at the a = 0.05 level of significance. No Seat Belt Seat Belt Smoke 67 448 Do not Smoke 327 2,187 *Source: Harris Poll a. Determine the null and alternative hypotheses. O Ho: Smoking habits and seat belt usage have the same distribution. Ha: Smoking habits and seat belt usage follow a different distribution. O Ho: Smoking habits and seat belt usage are independent. Ha: Smoking habits and seat belt usage are dependent. b. Determine the test Statistic. Round to two decimal places. c. Determine the p-value. Round to four decimal places. p-value = d. Make a decision. Reject the null hypothesis. O Fail to reject the null hypothesis. e. Make a conclusion. O There is not sufficient evidence to support the claim that smoking habits and seat belt usage are related. O…
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OA. Ho: Px-Py = 0 H₁: Px-Py ≤0 Small-business telephone users were surveyed 6 months after access to carriers other than Carrier A became available for wide-area telephone service. Of a random sample of 280 Carrier A users, 145 said they were attempting to learn more about their options, as did 152 of an independent random sample of 220 users of alternate carriers. Test, at the 5% significance level against a two-sided alternative, the null hypothesis that the two population proportions are the same. O D. Ho: Px-Py #0 H₁: Px-Py = 0 O B. Ho: Px-Py = 0 H₁: Px - Py#0 The test statistic is Z = (Round to two decimal places as needed.) The critical value(s) is (are). (Round to two decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is than the critical value(s), O E. Ho: Px - Py = 0 H₁: Px - Py> 0 reject Ho Ho. There is do not reject Ho- insufficient OC. Ho: Px-Py = 0 H₁: Px-Py <0 ▾ evidence to conclude that there is a difference between the two…

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