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 = 16, s, = 5, n, = 11, X2 = 15, s2 = 4, n2 = 13 a. Right-tailed test, a = 0.05 b. 90% confidence interval a. What are the correct hypotheses for a right-tailed test? O B. Ho: H1> H2 O A. Ho: H1 H2
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- Two groups were selected for an experiment. The sample data is reported: Group A Group B Sample Mean Spending/day ($) 170 150 Sample Standard deviation ($) 10 5 # of Females 9 7 Sample Size 36 42 a. Set up a 99% confidence interval for the mean difference in spending between the two groups. b. At the 10% level test the alternate hypothesis that group B has lower spending level than Group A.State the appropriate conclusion for the hypothesis test. Use the p-value toindicate how significant the sample data are.A. Claim: More than 2 out of 3 dentists choose Zest. p-Value = 0.045. Significancelevel, " = 0.05.B. It is not true that the average age of the top 200 tennis players is equal to 25. p-Value= 0.063. Significance level, " = 0.05.C. The tires on new cars last less, on average, than 40,000 miles. p-Value = 0.015.Significance level, " = 0.01An online site presented this question, "Would the recent norovirus outbreak deter you from taking a cruise?" Among the 34,006 people who responded, 65% answered "yes." Use the sample data to construct a 90% confidence interval estimate for the proportion of the population of all people who would respond "yes" to that question. Does the confidence interval provide a good estimate of the population proportion?
- 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.Suppose a 90 percent confidence interval to estimate a population proportion was calculated from a sample proportion of 18 percent and a margin of error of 4 percent. What is the width of the confidence interval?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…
- 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 = 13, s, = 2.4, n1 = 13, X2 = 16, s2 = 2.1, n2 = 13 a. Two-tailed test, a = 0.01 b. 99% confidence interval a. First, what are the correct hypotheses for a two-tailed test? O A. Ho: H1 = H2 Ha: H1 > H2 O B. Ho: H1> H2 Hạ: 41 = 12 O C. Ho: H1Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 having a common attribute. The second sample consists of 2000 people with 1409 of them having the same common attribute. Compare the results from a hypothesis test of p, = p2 (with a 0.01 significance level) and a 99% confidence interval estimate of p, -P2. O A. Ho: P1 SP2 H1: P1 #P2 O B. Ho: P1 *P2 H1: P1 = P2 OC. Ho: P1 = P2 H1: P, > P2 O D. Ho: P1 2 P2 H: P1 +P2 O E. Ho: P1 = P2 H:P1 #P2 OF. Ho: P1 =P2 H;: P11.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)An environmental health officer has been asked about levels of radon in homes in a particular county. As an initial step to forming a response to this inquiry, the officer plans to randomly select 20 homes in the county. The level of radon in each of the 20 homes will be measured, and the sample mean, x̅, and the sample standard deviation, s, will be calculated. Using these values, a 90% confidence interval will be constructed for the mean radon level for all homes in the county. Which of the following is the correct value of "t" for forming a confidence interval? a) 1.645 b) 1.328 c) 1.325 d) 1.725 e) 1.72920 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 1.96SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman