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- Compute the following sample sizes. If necessary, round to the nearest hundredth a. Suppose you are with a health agency that wants to estimate what percentage of Ohioans really has contracted coronavirus and thus has antibodies. If your agency wants a 2% margin of error at a 95% confidence level, how many people should you have in your study? b. A random sample of 10 regions in New England gave the following violent crime rates (per million population):3.5, 3.7, 4.0, 3.9, 3.3, 4.1, 1.8, 4.8. 2.9, 3.1Another random sample of 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population):3.7, 4.6, 4.5, 5.3, 3.3, 4.8, 3.5, 2.4, 3.1, 3.5, 5.2, 2.8Find the 85% confidence interval for the difference between the average violent crime rate in New England states and the average violent crime rate in Rocky Mountain states. State your interpretation and conclusion.Slove the Following: #1. If n=490 and ˆpp^ (p-hat) =0.46, find the margin of error at a 99% confidence level. Give your answer to three decimals #2. In a recent poll, 340 people were asked if they liked dogs, and 31% said they did. Find the margin of error of this poll, at the 95% confidence level. Give your answer to three decimals #3. If n = 540 and ˆpp^ (p-hat) = 0.7, construct a 99% confidence interval.Give your answers to three decimals. #4. Out of 300 people sampled, 279 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids. Give your answers as decimals, to three places. #5. A political candidate has asked you to conduct a poll to determine what percentage of people support her.If the candidate only wants a 4% margin of error at a 95% confidence level, what size of sample is needed? Give your answer in whole people. #6. Assume that a sample is used to estimate a population proportion p. Find the 90%…Use the following pairs of observations to construct an 80% and a 98% confidence interval for B1. x 0 2 3 1 6 4 5 y 2 1 4 2 5 2 5 a. The 80% confidence interval is (__ , __) (Round to 3 decimal places as needed.) b. The 98% confidence interval is (__ . __) (Round to 3 decimal places as needed.)
- create a 90% confidence interval for the following data: x = 25 n = 100One sample has n = 18 with SS = 102 and M = 12. A second sample has n = 5 with SS = 171 and M = 8. Which of the following is the 95% confidence interval for the mean difference in confidence between the two samples? Group of answer choices 5 ± 6.0956 4 ± 3.7856 4 ± 6.0956 5 ± 3.7856Suppose we wanted to construct a 90% confidence interval for a population mean based uponn = 17 randomly selected observations. Use the table to determine the appropriate value of t* to use in this case. What are the degrees of freedom and the value of t*? degrees of freedom = 16 and t* = 1.337 degrees of freedom = 16 and t* = 1.746 degrees of freedom = 17 and t* = 1.333 degrees of freedom = 17 and t* = 1.740
- find the value: t a2and n = 15 for the 98% confidence interval for the mean. t a2and n= 20 for the 95% confidence interval for the mean.Compute the following sample sizes. Use the appropriate formula. If necessary, round to the nearest hundredth. In a study of red/green color blindness, 500 men and 2100 women were randomly selected and tested. Among the men, 45 had red/green color blindness. Among the women, 6 have red/green color blindness. Let population 1 be the men and population 2 be the women.a. Construct a 99% confidence interval for the difference between the color blindness proportions of men and women.b. Now interpret this interval. Can we say anything about the proportion of men who are color blind compared to the proportion of women who are color blind?A 95% confidence interval for the proportion of college students who have texted during class was found to be from 0.75 to 0.95. Which of the following must be the 90% confidence interval from the same sample of data? 1. 0.05 to 0.25 2. 0.777 to 0.9 3. 0.731 to 0.969 4 0.766 to 0.934
- 4.) A simple random sample of size n is drawn from a population that is normally distributed. Using the data, it was found to be: x-bar = 108, and s = 10. Construct a 95% confidence interval about μ if the sample size is 25. Construct a 95% confidence interval about μ if the sample size is 10. Compare your results from Parts (a) and (b). How does decreasing the sample size affect the margin of error? Construct a 90% confidence interval about μ if the sample size is 25.The final exam score was recorded for each Harper statistics student in a sample of 30. A 95% confidence interval forWhich of the following would result in the narrower confidence interval? a. A sample size of 100 with 95% confidence b. A sample size of 100 with 99% confidence.