2) To find the effect of a recent policy change on employee morale, a large corporation decides to conduct an opinion survey, asking N randomly selected employees whether they are satisfied with the new policy.a.How many employees must be sampled to guarantee a sampling error (95% confidence interval) within +/− 3%? (Hint: Recall class discussion of sample size to meet error margin requirements for unknown proportions.)b.A survey is conducted, using the value of N chosen in part a. This survey reveals that 62.5% of the sampled employees are satisfied with the new policy. What is the 95% confidence interval for p, the proportion of all company employees that are satisfied with the new policy? What is the 99% confidence interval for p? c.Does the 95% confidence interval suggest that a majority of employees are satisfied with the policy? Discuss in 1 or 2 sentences. 3) During the electoral campaign, the mayor comes under criticism that City Hall and local public utilities are discriminating against Asians in the hiring process (that Asians are less likely to be hired than other races/ethnicities). You find that the proportion of Asians employed by local authorities is 7%, in a random sample of 300 public employees, while they represent 10% of the general population.a. Conduct a hypothesis tests of whether City Hall is discriminating against Asians for α = 0.02. Clearly state the null and alternative hypotheses and the conclusion of your test. b. What is the p-value of your test?c. In the context of this problem what is Type I error and in describe the cost of making a Type I error 2-3 three sentences?d. In the context of this problem what is Type II error and in describe the cost of making a Type II error 2-3 three sentences?e. Conduct a hypothesis tests of whether City Hall has fair hiring practices for α = 0.02. Clearly state the null and alternative hypotheses and the conclusion of your test as well as the p-value for the test. 4) A Web-based retailer wishes to measure whether pay-per-click advertising using Google AdWords results in higher daily sales. To do so, it signs up for an 80-day free trial period.a.In the first 80 days of using AdWords, the retailer had average sales of $600,000 per day, with a standard deviation of $40,000. Before using AdWords, the retailer had an average sales revenue of $595,000 per day. Is the sample evidence sufficient to conclude that the daily sales revenue has increased? To answer this question, perform a hypothesis test at α= 0.05. State the alternative and null hypotheses, compute the observed significance level (p-value), and state the conclusion of your test. b.In the first 20 days of using AdWords, the retailer had average sales of $625,000 per day, with a standard deviation of $27,000. Is the sample evidence from these 20 days sufficient to conclude that the daily sales revenue has increased from the historical mean of $595,000 per day? To answer this question, perform a hypothesis test at α= 0.05. State the alternative and null hypotheses, compute the observed significance level (p-value), and state the conclusion of your test.c.What assumptions are necessary for the conclusions of the hypothesis tests in parts a and/or b to be valid? Explain in 2 to 3 sentences.d.The retailer has the option of extending its AdWords subscription beyond the 80-day free trial period. Based on all the sample evidence, should the retailer continue using AdWords? Explain your answer, and resolve any apparent contradictions with your answers to parts a and b. (Hint: has the daily revenue stayed constant over time?)

Name: 2) To find the effect of a recent policy change on employee morale, a
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: 2) To find the effect of a recent policy change on employee morale, a large corporation decides to conduct an opinion survey, asking N randomly selected employees whether they are satisfied with the new policy.a.How many employees must be sampled to

Question

2) To find the effect of a recent policy change on employee morale, a large corporation decides to conduct an opinion survey, asking N randomly selected employees whether they are satisfied with the new policy.a.How many employees must be sampled to guarantee a sampling error (95% confidence interval) within +/− 3%? (Hint: Recall class discussion of sample size to meet error margin requirements for unknown proportions.)b.A survey is conducted, using the value of N chosen in part a. This survey reveals that 62.5% of the sampled employees are satisfied with the new policy. What is the 95% confidence interval for p, the proportion of all company employees that are satisfied with the new policy? What is the 99% confidence interval for p? c.Does the 95% confidence interval suggest that a majority of employees are satisfied with the policy? Discuss in 1 or 2 sentences. 3) During the electoral campaign, the mayor comes under criticism that City Hall and local public utilities are discriminating against Asians in the hiring process (that Asians are less likely to be hired than other races/ethnicities). You find that the proportion of Asians employed by local authorities is 7%, in a random sample of 300 public employees, while they represent 10% of the general population.a. Conduct a hypothesis tests of whether City Hall is discriminating against Asians for α = 0.02. Clearly state the null and alternative hypotheses and the conclusion of your test. b. What is the p-value of your test?c. In the context of this problem what is Type I error and in describe the cost of making a Type I error 2-3 three sentences?d. In the context of this problem what is Type II error and in describe the cost of making a Type II error 2-3 three sentences?e. Conduct a hypothesis tests of whether City Hall has fair hiring practices for α = 0.02. Clearly state the null and alternative hypotheses and the conclusion of your test as well as the p-value for the test. 4) A Web-based retailer wishes to measure whether pay-per-click advertising using Google AdWords results in higher daily sales. To do so, it signs up for an 80-day free trial period.a.In the first 80 days of using AdWords, the retailer had average sales of $600,000 per day, with a standard deviation of $40,000. Before using AdWords, the retailer had an average sales revenue of $595,000 per day. Is the sample evidence sufficient to conclude that the daily sales revenue has increased? To answer this question, perform a hypothesis test at α= 0.05. State the alternative and null hypotheses, compute the observed significance level (p-value), and state the conclusion of your test. b.In the first 20 days of using AdWords, the retailer had average sales of $625,000 per day, with a standard deviation of $27,000. Is the sample evidence from these 20 days sufficient to conclude that the daily sales revenue has increased from the historical mean of $595,000 per day? To answer this question, perform a hypothesis test at α= 0.05. State the alternative and null hypotheses, compute the observed significance level (p-value), and state the conclusion of your test.c.What assumptions are necessary for the conclusions of the hypothesis tests in parts a and/or b to be valid? Explain in 2 to 3 sentences.d.The retailer has the option of extending its AdWords subscription beyond the 80-day free trial period. Based on all the sample evidence, should the retailer continue using AdWords? Explain your answer, and resolve any apparent contradictions with your answers to parts a and b. (Hint: has the daily revenue stayed constant over time?)

Accepted Answer

Hello! As you have posted 3 different questions, we are answering the first question (2). In case…