You may need to use the appropriate appendix table or technology to answer this question. Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n₁ = 400 n₂ = 300 P₁ = 0.53 P₂ = 0.34 (a) What is the point estimate of the difference between the two population proportions? (Use P₁ - P₂.) (b) Develop a 90% confidence interval for the difference between the two population proportions. (Use P₁ P2. Round your answer to four decimal places.) to (c) Develop a 95% confidence interval for the difference between the two population proportions. (Use P₁ P2. Round your answer to four decimal places.) to
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- Why do you need to consider the studentized version of x to develop a confidence-interval procedure for a populationmean when the population standard deviation is unknown?Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 400 n2= 200 p1= 0.46 p2= 0.34 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. toIf one views a test statistic of z=1.03, should the conclusion be to accept the null hypothesis at a 90% confidence level? Explain your answer, thinking carefully about statistical terminology.
- Consider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 n 1 = 50 n 2 = 30 x 1 = 13.5 x 2 = 11.6 σ 1 = 2.5 σ 2 = 3 What is the point estimate of the difference between the two population means? (to 1 decimal) Provide a 90% confidence interval for the difference between the two population means (to 2 decimals). Use z-table.( , ) Provide a 95% confidence interval for the difference between the two population means (to 2 decimals). Use z-table. If your answer is negative, enter minus (-) sign.( , )Why do you need to consider the studentized version of x to develop a confidence-interval procedure for a population mean when the population standard deviation is unknown?1. Consider the following results for independent samples taken from two populations a. What is the point estimate of the difference between the two population proportions?b. Develop a 90% confidence interval for the difference between the two population proportions.c. Develop a 95% confidence interval for the difference between the two population proportions
- The business manager of a local health clinic is interested in estimating the difference between the fees for extended office visits in her center and the fees of a newly opened group practice. She gathered the following information regarding the two offices. Health Clinic Group Practice Sample size 50 visits 45 visits Sample mean $21 $19 Population Standard deviation $2.75 $3.00 a. What is your conclusion? Use a= 0.05. b. Develop a 95% confidence interval estimate for the difference between the average fees of the two offices.What is the smallest sample size required to provide a 95% confidence interval for a mean, if the margin of error is 1 cm from the mean. You may assume that the population is normal with variance 9cm2.How large would the sample need to be so that a 95% confidence interval would have a margin of error of 1.0 ?
- Consider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 n1=50 n1=30 xbar1=13.6 xbar=11.1 pop mean 2.1 pop mean=3 What is the point estimate of the difference between the two population means? (to 1 decimal) Provide a 90 confidence interval for the difference between the two population means (to 2 decimals).( , ) Provide a 95 confidence interval for the difference between the two population means (to 2 decimals).( , )According to the Centers for Disease Control and Prevention, 33.5% of U.S. adults have high LDL, or “bad” cholesterol. Suppose we sample 240 adults, out of which 81 have high LDL. a. Based on our sample, what is our estimate for the population proportion of adults with high LDL? b. What is the standard error for our estimate?c. Using your answers for parts a and b, construct a 95% confidence interval to estimate the population proportion. Can we conclude that the percentage of those that have high LDL is higher than 33.5%?d. Test the CDC’s claim that the percentage of those that have high LDL is higher than 33.5% at the α = 0.05 level. Report your p-value and conclusion.Please reply as soon as possible. Maxforce inc manufactures racquetball racquets by two manufacturing processes (A and B). Because the management of the company is interested in estimating the difference between the avarage time it takes to each process to produce a racquet, they select independent samples from each process. The results of the samples are shown below Process A Process B Sample size 32 35 sample mean (in min) 43 47 Population standard deviation. 8 8.5 1. Develop a confidence interval estimate for the difference between the avarage time of the two process. 2. Is there a conclusive evidence that one process takes longer than the other?Use both critical value and the p- value approach