We have given,
x1=120
n1=500
x2=147
n2=500
Level of significance = 0.05
Z critical value (by using Z table)=1.96
Estimate for sample proportion 1
Estimate for sample proportion 2
Confidence interval formula is
=(-0.1087,0.0007)
Lower limit for confidence interval=-0.1087
Upper limit for confidence interval is=0.0007
Independent random samples were selected from two binomial populations, with sample sizes and the number of...
Independent random samples were selected from two binomial populations, with sample sizes and the number of successes given below. Population 1 2 500 500 119 148 Sample Size Number of Successes State the null and alternative hypotheses to test for a difference in the two population proportions. O Ho: (P1-P2) # O versus H: (P1-P2) = 0 O Ho: (P1-P2) = 0 versus Hy: (P1-P2) > 0 HO: (P1-P2) < 0 versus Ha: (P1-P2) > 0 HO: (P1-P2) = 0...
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 2 Sample Size 39 44 Sample Mean 9.3 7.3 Sample Variance 8.5 14.82 Construct a 90% confidence interval for the difference in the population means. (Use μ1 − μ2. Round your answers to two decimal places.) __________ to ____________ Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.) __________ to _____________
The numbers of successes and the sample sizes for independent simple random samples from two populations are x 1equals32, n 1equals40, x 2equals10, n 2equals20. a. Use the two-proportions plus-four z-interval procedure to find an 95% confidence interval for the difference between the two populations proportions. b. Compare your result with the result of a two-proportion z-interval procedure, if finding such a confidence interval is appropriate.
Independent random samples were selected from two quantitative populations, with sample sizes, means, and standard deviations given below. n1 = n2 = 60 x1 = 125.3 x2 = 123.4 s1 = 5.7 s2 = 6.1 a) Construct a 95% confidence interval for the difference in the population means (μ1 − μ2). (Round your answers to two decimal places.) to b) Find a point estimate for the difference in the population means. c) Calculate the margin of error. (Round your answer...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1=51, n2=46, x¯1=57.8, x¯2=75.3, s1=5.2 s2=11 Find a 94.5% confidence interval for the difference μ1−μ2μ1−μ2 of the means, assuming equal population variances. Confidence Interval =
Independent random samples were selected from two quantitative populations, with sample sizes, means, and standard deviations given below. n1= 55, n2= 65, xbar1= 35.5, xbar2= 31.4, s1= 5.7, s2= 3.3 1.) Construct a 95% confidence interval for the difference in the population means (mu1- mu2). (Round your answers to two decimal places) 2.) Find a point estimate for the fifference in the population means. 3.) Calculate a margin of error. (Round your answer to two decimal places)
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1= 37 n2=44 x-bar1= 58.6 x-bar2= 73.8 s1=5.4 s2=10.6 Find a 97% confidence interval for the difference μ1−μ2μ1−μ2 of the means, assuming equal population variances.
Independent random samples of n1 = 900 and n2 = 780 observations were selected from binomial populations 1 and 2, and x1 = 336 and x2 = 378 successes were observed. (a) Find a 90% confidence interval for the difference (p1 − p2) in the two population proportions. (Round your answers to three decimal places.) What assumptions must you make for the confidence interval to be valid? (Select all that apply.) 1. independent samples 2. random samples 3. n1 +...
Independent random samples were selected from two quantitative populations, with sample sizes, means, and standard deviations given below. n = n2 = 90, x1 = 125.3, %2 = 123.8, s, = 5.7, s, = 6.9 Construct a 95% confidence interval for the difference in the population means ( M M ) (Round your answers to two decimal places.) Find a point estimate for the difference in the population means, Calculate the margin of error. (Round your answer to two decimal...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 500 n2 = 200 p1 = 0.47 p2 = 0.33 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). to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). to