STATISTICS

Answer the following questions with the choices:

Provide solutions and/or explanations.

1.

Given the data below, test the hypothesis that vaccination and diseases are independent at 0.05 level of significance. Got the disease Did not get the disease Vaccinated 9 42 Not vaccinated 17 28 The alternative hypothesis is a. Vaccination is independent of the disease. b. Vaccination is dependent of the disease. c. There is a significant difference between the vaccination and the disease. d. There is no significant difference between the vaccination and the disease.The statistical graph of two quantitative variables is called a. scatter diagram b. Venn diagram c. histogram d. frequency polygonIn the nursing home study, the researchers found that 12 out of 34 randomly selected small nursing homes had a resident vaccination rate of less than 80%, while 17 out of 24 randomly selected large nursing homes had a vaccination rate of less than 80%. At a = 0.05, test the claim that there is no difference in the proportions of the small and large nursing homes with a resident vaccination rate of less than 80%. Which of the following is/are correct? I. p1 = 0.35 II. P2 = 0.71 III. P = 0.5 IV. q = 0.5 a. Both I and II b. Both III and IV C. I, II, and III d. All of the above.A researcher claims that based on the information obtained from the Centers for Disease Control and Prevention, 11% of young people ages 2 19 are obese. To test this claim, she randomly selected zoo people ages 2 19 and found that 42 1were obese. At a = , is there enough evidence to reject tile eleitn'? The null and alternative hypotheses is a. Hg: {.3 = 0.1? versus H1: 3:: at 0.1? b. Hg: 3:: E ELI? versus Hint: 3:- 0.1? e. H0: :3 3 I11? versus H1: 3: s: (1.1? :1. Hg: 33 at Ill? versus HEP = [1.]? A report by the Gallup Poll stated that on average a woman visits her physician is 5.8 times a year. A researcher randomly selects 20 women and obtained these data. IN 3 7 2 9 6 6 8 0 5 6 4 2 3 4 At a = 0.01, can it be concluded that the average is still 5.8 visits per year? The sample mean, sample standard deviation, and tabulated value of the test statistic is a. 3.85, 2.5189, and -2.5756, respectively b. 3.85, 2.5189, and -2.5756 & 2.5756, respectively c. 3.85, 2.5189, and 2.861, respectively d. 3.85, 2.5189, and -2.861 & 2.861, respectively