Activity 3: Fill me up Directions: Complete the summary table of critical values. Confidence Level Two-tailed 90%(1 - ) 95% (1) Za 99% (1-) Za One-tailed Left-tailed Z 2 Z Right- tailed Z Z= Z
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- What is meant by the sample space of an experiment?We want to perform a survey to answer the question: What proportion of California voters believe that Governor Newsom did a good job of steering California through the crisis caused by Covid-19?We plan to survey a random sample of California voters. We want to be able to make a 95% Confidence Interval which has a “margin of error” [what we’ve been calling E for the maximum likely error estimateand your book calls the ‘EBP’ for error bound for a proportion] of 3% = .03Since we don’t have any data from prior surveys, we’ll play it safe and assume that p = .50 for ourcalculation. Show your work to determine how many people should be surveyed.1.) How do you "pool" two independent samples? 2.) What is the minimum number of successes and failures must you have in order to pool two samples? 3.) What is the margin of error for a confidence interval for two proportions?
- 6.11 Part I of the National Health Plan According to a poll conducted by the Kaiser Family Foundation in 2019, 79 percent of Democrats, 55 percent of Independents, and 24 percent of Republicans support a generic "National Health Plan." 347 Democrats, 298 Republicans, and 617 Independents were polled. (a) A political pundit on TV claims that a majority of Independents support a National Health Plan. Do these data provide strong evidence to support this type of statement? (b) Would you expect a confidence interval for the proportion of Independents who oppose the public option plan to include 0.5? Explaina. Locate the 95% prediction interval for driving accuracy (y) on the printout, and give a practical interpretation of the result. b. Locate the 95% confidence interval for mean driving accuracy (y) on the printout, and give a practical interpretation of the result. c. If you are interested in knowing the average driving accuracy of all golfers who have a driving distance of 300 yards, determine which of the intervals is relevant. Explain.The Consumer Reports National Research Center conducted a telephone survey of 2000 adults to learn about the major economic concerns for the future (Consumer Reports, January 2009). The survey results showed that 1760 of the respondents think the future health of Social Security is a major economic concern. Answer questions 1-2. 1. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern? 2. Develop a 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern.
- An economist at the Florida Department of Labor and Employment needs to estimate the unemployment rate in Indian River county. The economist found that 2.4% of a random sample of 532 county residents were unemployed. Find three different confidence intervals for the true proportion of Indian River county residents who are unemployed. Calculate one confidence interval with a 90% confidence level, one with a 98% confidence level, and one with a 99% confidence level. Notice how the confidence level affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Express solutions in percent form, rounded to two decimal places, if necessary. The margin of error fora 90% confidence interval is given by E= A 90% confidence interval is given by= The margin of error for a 98% confidence interval is given by E= A 98% confidence interval is given by The margin of error for a 99% confidence interval is given by E= A 99% confidence interval…An economist at the Florida Department of Labor and Employment needs to estimate the unemployment rate in Indian River county. The economist found that 2.4% of a random sample of 532 county residents were unemployed. Find three different confidence intervals for the true proportion of Indian River county residents who are unemployed. Calculate one confidence interval with a 90% confidence level, one with a 98% confidence level, and one with a 99% confidence level. Notice how the confidence level affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Express solutions in percent form, rounded to two decimal places, if necessary A 90% confidence interval is given b= A 98% confidence interval is given by= A 99% confidence interval is given by=Researchers plan a public health study to estimate the proportion of adults living in the US who do not plan to get a COVID vaccine at a 99% confidence level with a margin of error of no more than 0.03. What is the minimum sample size they must collect?
- a) Compare the “prop. contained” value from the chart to the confidence level associated with the simulation in sentence b) Write an interpretation for your confidence interval methods in terms of what would happen if more samples of the same sample size were taken and their respective confidence intervals calculated.An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 332 people living in East Vancouver and finds that 31 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.03. How large a sample should she take to achieve this? Please carry answers to at least six decimal places in intermediate steps.An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 332 people living in East Vancouver and finds that 36 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.04. How large a sample should she take to achieve this? Please carry answers to at least six decimal places in intermediate steps, and use at least 3 decimal places in your critical value. Sample size =