5 of 7 - 18 E . . . yo yo conTaence Interval for the airTerence, MF - MN , in mean concentration between people who have eaten fast food in the last 24 hours and those who haven't. The mean concentration of DEHP in the 3095 participants who had eaten fast food was XF = 83.6 with SF = 194.7 while the mean for the 5782 participants who had not eaten fast food was XN = 59.1 with SN = 152.1. Round your answers to one decimal place. The 95 % confidence interval is HI to Zota, A.R., Phillips, C.A., Mitro, S.D., "Recent Fast Food Consumption and Bisphenol A and Phthalates Exposure among the U.S. Population in NHANES, 2003 - 2010," Environmental Health Perspectives, 13 April, 2016.4of7 -/4 E View Policies Current Attempt in Progress Use the formula to nd the standard error of the distribution of differences in sample means, 3231 - 362. Samples of size 100 from Population 1 with mean 94 and standard deviation 14 and samples of size 85 from Population 2 with mean 77 and standard deviation 17 Round your answer for the standard error to two decimal places. standard error = Part 4 (d) Are males or females more likely to visit the public library? 0 Females O Males 70f7 Pc where po and pc represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. We have n1 = n2 = 500. Show all remaining details in the test, using a 5 % significance level. Effect of Organic Raisins After 20 Days After 20 days, 275 of the 500 fruit flies eating ganic raisins are still alive, while 170 of the JO eating conventional raisins are still alive.2 of 7 - /10 E . . . Part 2 (b) Find a 99 % confidence interval for the difference in population proportions Pf - Pm Round your answers to two decimal places. The 99 % confidence interval is to i50f7 -/10 i: Round your answers to three decimal places. Test statistic = p-value = What is the conclusion? \\/ Reject H_O. Do not reject H_O. 10f7 > -/4 3: Consider random samples of size 84 drawn from population A with proportion 0.43 and random samples of size 62 drawn from population B with proportion 0.19. Part 1 (a) Find the standard error of the distribution of differences in sample proportions, fyA - 233. Round your answer for the standard error to three decimal places. standard error = 70f7 -/6 ;= Part 2 (b) What is the conclusion of the test? Test at a 10 % level. 0 Reject HO. Q Do not reject H0. 7 of 7 - /3 . . . Part 3 (c) Both options have the same means (x1 = 22, X2 = 17) and same standard deviations but: Option 1 has: n1 = 700 n2 = 1050 Option 2 has: n1 = 45 n2 = 35 O Option 1 O Option 230f7 -/10 ;= Part 2 Do we have evidence that the proportion surviving after eating organic is higher? 0 Yes O No 60f7 L m H . Use the tdistribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal. Test H0 :m = M2 vs Ha :yl 7E [.12 using the sample resultsfl = 153,31 = 11.6 with n1 = 100 and3c2 = 18.4, $2 = 14.3 with 112 = 80. Part 1 (a) Give the test statistic and the pvalue. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. test statistic = an 2 of 7 > - / 10 E . . . Part 3 (c) Can we conclude from the confidence interval that there is a difference in proportions? O Yes No60f7 -/6 i: (a) Give the test statistic and the p-value. Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places. test statistic = pvalue = 20f7 I \\ A O NI CO. Public Libraries and Gender A survey1 asked a random sample of n = 2752 US adults whether they had visited a public library in the last 12 months. The results for males and females are shown in the table below. Yes No Total Females 726 697 1423 Males 505 824 1329 Total 1231 1521 2752 Table 1: Have you visited a public library in the last year? 1Rainie, L., \" Libraries and Learning,\" www.pewinternet.org/2016/04/07/libraries-and- learning/, Pew Research Center, April 7, 2016. 3 of 7 > - /10 E . . . organic raisins are still alive, wIlle 1/ 0 01 me 500 eating conventional raisins are still alive. 1Proportions approximated from information given in the paper. Part 1 Give the test statistic and the p-value. Round your answers to three decimal places. Test statistic = p-value = What is the conclusion?10f7 > -/4 ;= Part 2 (b) Are the sample sizes large enough for the Central Limit Theorem to apply? 0 Yes O No