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Constructing a confidence interval to test a claim about a... The website of the large coporation CorpPlus claims that 98% of the population of all employees say the corporation is a great place to work. You work for a competitor and think that this percentage is not a true indicator of CorpPlus's employee satisfaction. To test the claim from the website, you will survey a random sample of 80 employees from CorpPlus, and ask them whether they think the corporation is a great place to work. Follow the steps below to construct a 99% confidence interval for the population proportion of all employees who say the corporation is a great place to work. Then state whether the confidence interval you construct contradicts the website's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from the random sample. Number Proportion Take Sample Says the corporation is a great place to work Does not say the corporation is a great place to work Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: X ? Standard error: Critical values Point estimate: Z0.005 = 2.576 Margin of error: Zo.010 = 2.326 Critical value: 0 Z0.025 = 1.960 99% confidence interval: Zo.050 = 1.645 Compute Zo.100 = 1.282 (b) Based on your sample, graph the 99% confidence interval for the population proportion of all employees who say the corporation is a great place to work. . Enter the values for the lower and upper limits on the graph to show your confidence interval. . For the point (), enter the claim 0.98 from the website. 99% confidence interval: 0.000 1.000 0.500 X ? (c) Does the 99% confidence interval you constructed contradict the claim from the website? Choose the best answer from the choices below. No, the confidence interval does not contradict the claim. The proportion 0.98 from the website X 5 ? is inside the 99% confidence interval. No, the confidence interval does not contradict the claim. The proportion 0.98 from the website is outside the 99% confidence interval. Yes, the confidence interval contradicts the claim. The proportion 0.98 from the website is inside the 99% confidence interval. Yes, the confidence interval contradicts the claim. The proportion 0.98 from the website is outside the 99% confidence interval
