Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​ t-test and the pooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.   x1=19​, s1=3​, n1=21​, x2=23​, s2=4​, n2=17   a.​ Left-tailed test, α=0.05 b. 90​% confidence interval   a. What are the correct hypotheses for a​ left-tailed test?   A. H0​: μ1<μ2 Ha​: μ1=μ2   B. H0​: μ1≠μ2 Ha​: μ1=μ2   C. H0​: μ1=μ2 Ha​: μ1>μ2   D. H0​: μ1=μ2 Ha​: μ1<μ2   E. H0​: μ1>μ2 Ha​: μ1=μ2   F. H0​: μ1=μ2 Ha​: μ1≠μ2   Compute the test statistic.   t=__________ ​(Round to three decimal places as​ needed.)   Determine the critical value.   −tα=_________ ​(Round to three decimal places as​ needed.)   What is the conclusion of the hypothesis​ test?   Since the test statistic___________(is or is not) in the rejection​ region,__________ (do not reject or reject) H0.   b. The 90​% confidence interval is from ____________ to __________. ​(Round to three decimal places as​ needed.)

Provide an explanation as to why it would be very unlikely that a different sample of size n=30 would produce the same confidence interval.

Provided below are summary statistics for independent simple random samples from two populations. Use the pooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x₁ = 11, S₁ = 2.5, n₁ = 15, x₂ = 14, s₂ = 2.2, n₂ = 15 a. Two-tailed test, α = 0.10 b. 90% confidence interval Ha: H1 H2 Next, compute the test statistic. t= (Round to three decimal places as needed.) Now determine the critical values. ±ta/2= ± What is the conclusion of the hypothesis test? Since the test statistic b. The 90% confidence interval is from to (Round to three decimal places as needed.) (Round to three decimal places as needed.) in the rejection region, Ha: H1 = H₂ Ho. Time Remaining: 01:35:24 Next

Construct a 95% confidence interval for the difference between the two means                           Treatment Group          Control Group                       n1 =78                                   n2=70                       X1= 179.1                             X2 213.7                       s1     =35.7                             s2= 37.2

Provided below are summary statistics for independent simple random samples from two populations. Use the nonpooled​ t-test and the nonpooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.   x1=10​, s1=2​, n1=10​, x2=14​, s2=6​, n2=10   a.​ Two-tailed test, α=0.05      b. 95​% confidence interval   a. What are the hypotheses for the​ t-test?   A. H0​: μ1=μ2 Ha​: μ1≠μ2   B. H0​: μ1≥μ2 Ha​: μ1<μ2   C. H0​: μ1=μ2 Ha​: μ1>μ2   D. H0​: μ1=μ2 Ha​: μ1<μ2   Find the test statistic.   t=_________ ​(Round to three decimal places as​ needed.)   Find the critical values.   ±tα/2=±___________ ​(Round to three decimal places as​ needed.)   What is the conclusion of the hypothesis​ test?   A. Do not reject H0. There is insufficient evidence that the two means are different.   B. Reject H0. There is sufficient evidence that the two means are different.   C. Reject H0. There is insufficient evidence that the…

1.Null and alternative hypotheses 2. Test statistic 3.P vaule 4. State conclusion for test 5.Construct confidence interval 6.Does confidence interval support conclusion of test?

Verizon Wireless would like to estimate the proportion of households that use cell phones for their phone service without a land line. A random sample of 150 households was selected and 48 relied strictly on cell phones for their service. The 95% confidence interval for the proportion based on this sample is ________. A)  (0.257, 0.383) B)  (0.223, 0.417) C)  (0.185, 0.456) D)  (0.165, 0.475)

20 out of 40 American adults responded "yes" when asked if they have ever voted for a candidate in a party different from which they identify with. What is the critical value for a 95% confidence interval? 02.023 2.093 1.645 2.086 2.021 1.96