Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed. Sample 1 Sample 2 n₁ = 118|n2 == 161 x1 = x2 = 26.2 24.4 S1 = 3.8 82 = 4.4 Test the claim: Given the null and alternative hypotheses below, conduct a hypothesis test for a = 0.05. Η: μι = με 1 Ha: με 7 με a. Given the alternative hypothesis, the test is Select an answer ✰ b. Determine the test statistic. Round to four decimal places. t = c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. Reject the null hypothesis. Fail to reject the null hypothesis.
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- Two universities give samples of students the same exam. School A records the follwoing sample statistics: ā1=73, 8,=5.5, ni =80. School B records the follwoing sample statistics: z=69, ,=4.4, n2 =90. We wish to build a 95 % cofidence interval to estimate the difference in means between these schools. Define your variable: O Let p be the proprotion School A students that were higher than School B. Let u the mean test score that School A was higher than School B. Let u be the mean test score. O Let u be the mean test score at School A. Create and interpret a 95% Confidence Interval. Round your answers to one decimal place. Select an answer and Select an answer What is the margin of error? Round your answer to one decimal place. Do these results suggest that School A might have higher means on this test? ? Do these results PROVE that School A might have higher means on this test? The campus president at School A made the following statement. "Our students score an average of 5 points…Find the standardized test statistic, z, to test the hypothesis that p, < p,. Use a = 0.10. The sample statistics listed below are from independent samples. Round to three decimal places. Sample statistics: n, = 550, x, = 121, and n, = 690, x, = 195 %3D O A. - 0.985 В. - 2.132 C. - 2.513 D. 1.116 Se Click to select your answer. Type here to search hpcont.... What is the level of measurement for the dependent variable? Are the samples dependent (matched) or independent? State the null and alternative hypotheses.H0: HA:
- a survey is conducted to compare the proportions of men and women whoaccess their bank statements online. Denoting the population propotions by Pm and Pw, a two-proportion z-test is carried out to test Ho: pm = pw against Ha: pm > pw. The values of the test statistic is found to be z = 0.784, and the p-value for the test is found to be 0.216. Which of the following is the correct interpretation of the p-value? a) given that ha is true, the probability of getting a value of z at least as large as 0.784 is 0.216. b) given the results of the survey, the probability that Pm > Pw is 0.216. c) given the results of the survey, the probability that Pm = Pw is 0.216. d) none of the abovea survey is conducted to compare the proportions of men and women whoaccess their bank statements online. Denoting the population propotions by Pm and Pw, a two-proportion z-test is carried out to test Ho: pm = pw against Ha: pm > pw. The values of the test statistic is found to be z = 0.784, and the p-value for the test is found to be 0.216. Which of the following is the correct interpretation of the p-value? a) given that ha is true, the probability of getting a value of z at least as large as 0.784 is 0.216. b) given that ho is true, the probability of getting a value of z at least as large as 0.784 is 0.216. c) given the results of the survey, the probability that Pm > Pw is 0.216. d) given the results of the survey, the probability that Pm = Pw is 0.216. e) none of the aboveThe recidivism rate for convicted sex offenders is 9%. A warden suspects that this percent is higher if the sex offender is also a drug addict. Of the 395 convicted sex offenders who were also drug addicts, 40 of them became repeat offenders. What can be concluded at the αα = 0.10 level of significance? For this study, we should use: Select an answer? z-test for a population proportion or t-test for a population mean ? The null and alternative hypotheses would be: Ho: μ or p? Select an answer: < > = ≤ ≥ ≠? ______ (please enter a decimal) H1: p or μ? Select an answer: > < ≥ = ≤ ≠? _____ (Please enter a decimal) The test statistic: t or z? =_______ (please show your answer to 3 decimal places.) The p-value =_________? (Please show your answer to 4 decimal places.) The p-value is ? ≤ or >? Based on this, we should? Select an answer: reject? fail to reject? or accept? the null hypothesis. Thus, the final conclusion is that ... The data suggest the…
- Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: µ = 52,500; a = 0.05 Sample statistics: x= 53,637, s= 2400, n = 18 Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. Ο Α. Hρ μ= 52,500 Hai µ#52,500 B. Ho: µ+ 52,500 Hai µ = 52,500 O C. H μ 52,500 Ha: µ 52,500 What is the value of the standardized test statistic? The standardized test statistic is |. (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho. There is enough evidence to reject the claim. O B. Fail to reject Ho. There is enough evidence to reject the claim. Click to select your answer(s).Claim: μ=40; α=0.04; σ=3.88. Sample statistics: x=38.2, n=72 the null and alternative hypotheses: H0: μ=40 Ha: μ≠40 calculate the standardized test statistic. The standardized test statistic is enter your response here. (Round to two decimal places as needed.)The corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, where d is the amount of corrosion on the coated portion subtracted from the amount of corrosion on the uncoated portion. Does this random sample provide sufficient reason to conclude that the coating is beneficial? Use a = 0.01 and assume normality. n- 40, Σd- 207, Σα? = 6199 (a) Find t. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give your answer correct to four decimal places.) (b) State the appropriate conclusion. O Reject the null hypothesis, there is significant evidence that the coating is beneficial. Reject the null hypothesis, there is not significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is not significant evidence that the coating is beneficial.
- If the test statistic for a right sided test is z = 1.71, then the p-value isSelect one: A.0.9573 B.0.9564 C.0.0436 D.0.0427A random sample of 10 independent healthy people showed the body temperatures given below (in degrees Fahrenheit). Test the hypothesis that the population mean is not 98.6 °F, using a significance level of 0.05. 98.7 98.4 99.0 96.7 98.2 98.5 97.1 99.4 98.6 97.7 ....... Determine the null and alternative hypotheses. Choose the correct answer below. O A. H: µ= 98.6 H3: u> 98.6 O B. H, µ#98.6 O C. H,: µ> 98.6 H3: µ = 98.6 Ha: u= 98.6 Ο D. H, . μ< 98.6 O E. Ho: µ= 98.6 OF. H,: H= 98.6 Ha: u= 98.6 H3: u#98.6 H:u<98.6 Check the conditions to see whether the test statistic will follow a t-distribution. The sample V random and the observations V independent. The distribution of the sample is Find the test statistic. t=| (Round to two decimal places as needed.) Find the p-value. n ualun - NShow work please. Thank you. A hypothesis test to test the claim about a population mean in which the alternative hypothesis is Ha:μ≠225Ha:μ≠225 is conducted. A random sample was collected with the results of ¯x=200x¯=200 and s=54.2s=54.2 for a sample of size 14. What are the critical values for this test if the significance level is 5%? ±2.145 ±1.726 ±2.160 ±1771 ±1.96