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- In a survey of health workers, 25 percent stated that they expect to be promoted after 3 years of service. If this percentage holds for the entire population, in a sample of 9 health workers drawn from this population. a) Between six and nine, inclusive b)If we draw a sample of 45 health workers from this population where, determine a 95% and 99% confidence interval for the true proportion of health workers who expect a promotion after 3 years of serviceAn accounting professor is notorious for being stingy in giving out good letter grades. In a large section of 100 students in the fall semester, she gave out only 3% A's, 13% B's, 52% C's, and 32% D's and F's. Assuming that this was a representative class, compute the 99% confidence interval of the probability of getting at least a B from this professor. Use Z0.005 = 2.576 in your calculation. (You may find it useful to reference the z table. Round final answers to 3 decimal places.) Confidentce Interval from _______ to _______4. From an SRS of 600 U.S. adults, 116 live in a multigenerational household (multiple generation under one roof). Which of the following is the 95% confidence interval of the population proportion of U.S. adults that live in a multigenerational household in the hat p pm ME( hat p ) form
- A poll is taken in which 354 out of 600 randomly selected voters indicated their preference for a certain candidate. (a) Find a 99% confidence interval for ?. ≤?≤ (b) Find the margin of error for this 99% confidence interval for ?. (c) Without doing any calculations, indicate whether the margin of error is larger or smaller or the same for an 80% confidence interval. A. smaller B. larger C. sameA national opinion poll found that 44% of all American adults agree that parents should be given vouchers good for education at any public or private school of their choice. The result was based on a small sample. How large an SRS is required to obtain a margin of error of 0.03 (that is +/- 3%) in a 95% confidence interval? 1. Do the problem again using the conservative guess of 0.5. By how much do the two sample sizes differ?researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random sample of 200 people in city see, 34 were found to subscribe to the streaming service. From a random sample of 200 people in city OK, 54 we're file to subscribe to the streaming service. Assuming all conditions for inference are met, which of the following is a 90% confidence interval for the difference of population proportion's (city C minus city K) who subscribed to streaming service?
- A metallurgist makes several measurements of the melting temperature of a certain alloy and computes a 95% confidence interval to be 2038±2°C. Assume the measuring process for temperature is unbiased. True or false: a) There is 95% probability that the true melting temperature is in the interval 2038 ± 2°C. b) If the experiment were repeated, the probability is 95% that the mean measurement from that experiment would be in the interval 2038 ± 2°C. c) If the experiment were repeated, and a 95% confidence interval computed, there is 95% probability that the confidence interval would cover the true melting point. d) If one more measurement were made, the probability is 95% that it would be in the interval 2038 ± 2°C.In a simple random sample of 300 college students, 35.0 percent stated that they intended to pursue an advanced degree. [Show Work] A. How many of the 300 college students sampled intend to pursue an advanced degree? B. To the 95 percent confidence level, find the confidence interval estimate, (to nearest tenth of a percent) of ALL college students who intend to pursue an advanced degree, Can we safely assume that less than 40.0% of all college students intend to pursue an advanced degree? C. If we wanted to reduce the margin of error to 4.0 percent, how big would our sample SIZE have to be (again, to the 95 percent confidence level)?A research report on a prospective study states that: “A comparison of the 90 normal patients with the 50 patients with hypotension shows that only 3.33% of the former group died as compared to 30% of the latter.” (a) Calculate the sample odds ratio, construct a 95% confidence interval, and provide an interpretation (b) Test the significance of blood pressure as a prognostic sign using Pearson's Chi-Squared Test. Be sure to provide the following: Define the parameter(s) of interest. State the null and alternative hypotheses. State the significance level. State what type of test you will perform and why you chose to use the test. State and check any necessary assumptions. Check assumptions by hand showing all calculations. State your test statistic and its null distribution. Give the output of the hypothesis test from R. Verify the calculation of the test statistic by hand. You do not have to verify the P-value by hand. State the decision rule. State your conclusion in the context…
- A national opinion poll found that 44% of all American adults agree that parents should be given vouchers that are good for education at any public or private school of their choice. The result was based on a small sample. How large of a sample is required to obtain a margin of error of 0.03 in a 99% confidence interval? a. Use the national opinion poll from a previous study to find the sample size: b. Use the conservative guess of p = 0.5 to calculate the sample size:A newsgroup is interested in constructing a 99% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 598 randomly selected Americans surveyed, 384 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all Americans who favor the new Green initiative is between ? and ? b. b. If many groups of 598 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About ? percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about ? percent will not contain the true population proportion.From a random sample of 185 children from school G, 108 indicated they wanted to study science in college. From a different random sample of 165 children from school H, 92 indicated they wanted to study science in college. Assuming all conditions for inference are met, which of the following is closest to the standard error for a confidence interval for the difference in population proportions between the two schools of children who want to study science in college?