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

Estimate the minimum sample size needed to achieve the margin of error E = 0.029 for a 95% confidence interval The minimum sample size is (Round up to the nearest integer.)

You may need to use the appropriate appendix table or technology to answer this question. The following results come from two independent random samples taken of two populations. Sample 1 Sample 2 n1 = 60 n2 = 25 x1 = 13.6 x2 = 11.6 ?1 = 2.4 ?2 = 3 (a) What is the point estimate of the difference between the two population means? (Use  x1 − x2.)   (b) Provide a 90% confidence interval for the difference between the two population means. (Use  x1 − x2.  Round your answers to two decimal places.)  to  (c) Provide a 95% confidence interval for the difference between the two population means. (Use  x1 − x2.  Round your answers to two decimal places.)  to

Two samples are drawn from populations that are independent of each other.   Use this data to test the claim using a confidence interval approach that the means of both populations are the same.  Use a significance level of 0.01.    Sample A Sample B x¯=46.2  x¯=38.4  s=3.1 s=4.1  n=12 n=16 e)  What is the margin of Error? E = f)  What is the confidence interval for the difference of the two population means?                         ?      < μ1μ1-μ2μ2<      ? g)  Based on our confidence interval in f) what is the decision? h)  What is the conclusion?

A random sample of high school seniors were asked whether they were applying for college. The resulting confidence interval for the proportion of students applying for college is (0.65,0.69). What is the margin of error?

Could you please help find p value, conclusion, and the confidence interval claim. Thank you!

(2) Choose the one alternative that best completes the statement or answers the question. Assume two independent random samples are available which provide sample proportions. For the first sample assume n₁ = 100 and x₁= 39. For the second sample, assume n₂= 100 and x₂= 49. Test the null hypothesis that the population proportions are equal versus the alternative hypothesis that the proportions are not equal at the 90% confidence level. Frame the test statistic by subtracting the proportion for population 1 from that for population 2. Pick an appropriate z value, p-value and conclusion. Round your answer to the nearest thousandth. Note that this is a two- tailed test. z-value = -1.425 p-value= 0.077 statistically significant z-value = 1.425 p-value= 0.077 statistically significant z-value = -1.425 p-value= 0.077 not statistically significant z-value = 1.425 p-value= 0.154 statistically not significant

Suppose that​ 90% confidence interval for the difference between two​ proportions, p1-p2, is​ ( 0.013,​ 0.245). If we were testing the following​ hypotheses: H0:​ p1=p2 versus​ H1: p1≠p2 at the .10 significance level we would

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=11​,s1=5​,n1=10​,x2=15​,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​ P-value. P= ​(Round to four decimal places as​ needed.) What is the conclusion of the hypothesis​ test?   A.Reject H0.There is sufficient evidence that the two means are different.   B. Do not reject H0. There is insufficient evidence that the two means are different.   C.Do not reject H0. There is sufficient evidence that the two means are different.   D.Reject H0.There is…