Conduct a test at the x = 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 p₁ > P2. The sample data are x₁ = 123, n₁ = 255, x₂ = 144, and n₂ = 316. (a) Choose the correct null and alternative hypotheses below. A. Ho: P₁ = P₂ versus H₁: P₁ P₂ B. Ho: P₁ = P2 versus H₁: P₁
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- Conduct 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=129, n1=241, x2=139, and n2=312. (a) Choose the correct null and alternative hypotheses below. A. H0: p1=p2 versus H1: p1≠p2 B. H0: p1=p2 versus H1: p1>p2 Your answer is correct. C. H0: p1=p2 versus H1: p1<p2 D. H0: p1=0 versus H1: p1≠0 (b) Determine the test statistic. z0= (Round to two decimal places as needed.) Pvalue = (Round to three decimal places as needed.Conduct the following 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 that the samples were obtained independently using simple random sampling. Test whether p, #P2. Sample data are x, = 28, n, = 255, x2 = 36, and n2 = 301.In a 2-sample z-test for two proportions, you find the following: X1 = 24 n1 = 200 X2 = 17 n2 = 150 You decide to run a test for which the alternative hypothesis is H1: p1 > p2. Find the appropriate test statistic for the test
- A researcher believes that children who attend elementary school in a rural setting have lower obesity rates then children who attend elementary school in an urban setting. The researcher collects a random sample from each population and records the proportion of children in each sample who are clinically obese. The data is summarized in the table below. Assume that all conditions for proceeding with a two-sample test have been met. Find the z-statistic (rounded to the nearest hundredth) and p-value (rounded to the nearest thousandth) for this hypothesis test. Using a 5% significance level, state the correct conclusion regarding the null hypothesis H0: prural = purban. a) z = -1.95, p = 0.026. There is sufficient evidence to reject the null hypothesis. b) z = -1.85, p = 0.032. There is sufficient evidence to accept the null hypothesis. c) z = -1.95, p = 0.026. There is not sufficient evidence to reject the null hypothesis. d) z =1.95, p = 0.026. There is sufficient evidence to…In a survey, 33% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so she randomly selected 210 pet owners and discovered that 66 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a=0.01 level of significance. Because npo (1-Po) = 10, the sample size is (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho versus H₁ (Type integers or decimals. Do not round.) Find the test statistic, Zo Zo= (Round to two decimal places as needed.) Find the P-value. 5% of the population size, and the sample the requirements for testing the hypothesis P-value= (Round to three decimal places as needed.) Does the veterinarian have a right to be skeptical? OA. The veterinarian has a right to be skeptical. There is sufficient evidence to conclude that the true proportion of pet owners who talk to their pets on the telephone is less than 33%. OB.…The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than one -third of the citys households have pets( otherwise there wont be enough business). he samples 150 of the households and finds that 64 have pets. 1. state the parameters and hypothesis 2. find the observed sample statistic 3. what is the p- value, and is this statistically significant?
- What is the test statistic and the p- value ?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,Twenty different statistic students are randomly selected. For each of them,their body temperature (° F) is measured and their head circumference (in) ismeasured. Without doing any research or calculations, estimate the value of r. Forthis sample of paired data, what does r represent?Determine if the samples are independent or related. Two formulations of a new whitening soap are compared to their whitening effect. A random sample of 40 potential users of the soap is selected. Each person uses a randomization mechanism to determine which formulation is applied on the left arm so that the other formulation is applied on the right arm. After two weeks, they measured the effect of each formulation.In a survey of 175 females who recently completed high school, 76% were enrolled in college. In a survey of 150 males who recently completed high school, 72% were enrolled in college. At a = 0.05, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). O A. Ho: P1 #P2 Ha: P1 = P2 O B. Ho: P1 P2 OF. Ho: P1 = P2 O D. Ho: P1 > P2 Ha: P1 SP2 Ha: P1 O B. z 1.96 O D.Find the standardized test statistic, z to test the claim that p, = p2. The sample statistics listed below are from independent samples. n1 = 50, x1 = 35, and n2 = 60, x2 = 40 ... О А. 1.328 В. 2.361 С. О.374 O D. 0.982SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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