Which of the following is not a condition for performing a significance test about a population proportion p? (a) The data should come from a random sample or randomized experiment. (b) Both npo and n(1-po) should be at least 10. %3D (c) If you are sampling without replacement from a finite population, then you should sample no more than 10% of the population. (d) The population distribution should be approximately Normal, unless the sample size is large. (e) All of the above are conditions for performing a significance test about a population proportion.
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- 3.STATISTICAL INFERENCEConduct a test at the a = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > P2. The sample data are x, = 123, n, = 244, x2 = 138, and n, = 303. (a) Choose the correct null and alternative hypotheses below. O A. Ho: P1 = 0 versus H,: P1 # 0 O B. Ho: P1 = P2 versus H,:P, P2 O D. Ho: P1 = P2 versus H,: p1 # P2 (b) Determine the test statistic. Zo = 1.13 (Round to two decimal places as needed.) (c) Determine the P-value. The P-value is 0.129. (Round to three decimal places as needed.) What is the result of this hypothesis test? O A. Reject the null hypothesis because there is sufficient evidence to conclude that p, P2-Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: 0 В. Но На > 0 Ha: Ha s0 O C. Ho: Ha = 0 Ha: Hd #0 D. Ho: Ha <0 Ha: Hd 20 O E. Ho: Hd + 0 Ha: Hd F. Ho: Hd 20 Ha: Hd = 0 <0 The test statistic is t= (Round to two decimal places as needed.)
- Conduct a test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > p3. The sample data are x, = 125, n, = 251, x, = 135, and n, = 312. (a) Choose the correct null and alternative hypotheses below. (b) Determine the test statistic. Zo = (Round to two decimal places as needed.) O A. Ho: p, =p, versus H,: p, > P2 O B. Ho: p, =0 versus H,: p, #0 Test the null hypothesis. Choose the correct conclusion (c) Determine the P-value. The P-value is O C. Ho: P, =p2 versus H,: p,Test the claim about the differences between two population variances a and o at the given level of significance a using the given sample statistics. Assume that the sample statistics are from independent samples that are randomly selected and each population has a normal distribution. Claim: o so, a = 0.05 Sample statistics: s, = 705, n, =3, s = 368, n, = 9 Find the null and alternative hypotheses. OA Hoio> Hạ: o so3 OC. Hoi o z0 H,: oTest whether µ, <µ, at the a = 0.01 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed. Click the icon to view the data table. Determine the null and alternative hypothesis for this test. A. Ho:H1Conduct a test at the α=0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2. The sample data are x1=124, n1=243, x2=139, and n2=312.Two samples of n = 5 participants each generate the following data. Calculate a t-test score for the difference of these two groups. Group 1 Group 2 2 3 3 3 2 2 2 2 1 2 t(8) = 2.86 t(8) = 2.29 t(8) = 2.5 t(8) = 1.11For the given data, (a) find the test statistic, (b) find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. Claim: µ1 < H2, a = 0.01. Sample statistics: x, = 1215, n, = 45, x2 = 1195, and n2 = 75. Population statistics: 01 = 65 and 02 = 120. (a) The test statistic for H1 - H2 isTest the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: 0 Ha: Hd s0 E. Ho: Ha 0 F. Ho: Ha 20 Ha: Ha <0 The test statistic is t= 1.94 . (Round to two decimal places as needed.) The critical value(s) is(are) to (Round to two decimal places as needed. Use a comma to separate answers as needed.)onsider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 n 1 = 50 n 2 = 30 x 1 = 13.1 x 2 = 11.2 σ 1 = 2.3 σ 2 = 3 What is the point estimate of the difference between the two population means? (to 1 decimal) Provide a 90% confidence interval for the difference between the two population means (to 2 decimals). Use z-table.( , ) Provide a 95% confidence interval for the difference between the two population means (to 2 decimals). Use z-table. If your answer is negative, enter minus (-) sign.( , )Conduct a test at the a = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p, > P2. The sample data are x, =118, n, = 258, x, = 139, and n, = 314.Recommended 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. 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