STATISTICS
Answer the following questions with the choices:
Provide solutions and/or explanations.
1.
A study found that in a. random sample of 5D burglaries1 16% of the criminals were arrested. In a random sample of 50' car thefts1 12% of the criminals were arrested. At {I = 0.1!}, can it be concluded that the percentages of people who committed burglaries and were arrested was greater than the percentages of people who committed car thefts and were arrested. The decision is a. Accept the null hypothesis. h. Rej eat the null hypothesis. c. Accept the alternative hypothesis. d. cannot be determined 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 Which of the following is the correct expected frequencies? I. Got the disease Did not get the disease Vaccinated 13.8135 37.1815 Not vaccinated 12.1873 32.8121 II. Got the disease Did not get the disease Vaccinated 13.8125 37.1275 Not vaccinated 12.1975 32.8325 III. Got the disease Did not get the disease Vaccinated 13.8125 37.1875 Not vaccinated 12.1875 32.8125 a. I only b. II only c. III only d. None of the above.A researcher claims that based on the information obtained from the Centers for Disease Control and Prevention, 17% of young people ages 2 - 19 are obese. To test this claim, she randomly selected 200 people ages 2 - 19 and found that 42 were obese. At a = 0.05, is there enough evidence to reject the claim? The conclusion is a. There is enough evidence to reject the claim that 17% of young people ages 2 - 19 are obese. b. There is enough evidence to reject the claim that 17% of young people ages 2 - 19 are not obese. c. There is no enough evidence to reject the claim that 17% of young people ages 2 - 19 are not obese. d. There is no enough evidence to reject the claim that 17% of young people ages 2 - 19 are obese.A report stated that 21% of babies are delivered by Caesarean section. A researcher believes that the percentage is less than 21% in the large hospital in his hometown. He randomly selected 50 newborn infants and found that 8 were born by Caesarean section. At or = 1101, is there enough evidence to support his claim? The computed value ofthe test statistic is a. [1.363 13.03534? c. 1.143222 d. 41.368 A researcher wishes to see if there is a relationship between the hospital and the number of patients infections. A random sample of 3 hospitals was selected, and the number of infections for a specific year has been reported. The data are shown below. Hospital Surgical site infections Pneumonia infections Bloodstream infections A 41 27 51 B 36 3 40 C 169 106 109 At a = 0.05, can it be concluded that the number of infections is related to the hospital where they occurred? The alternative hypothesis is a. H,: There is a significant difference between the number of infections and the hospital where they occurred. b. H,: The number of infections is less than in the hospital where the infection occurred. c. W,: The number of infections is more than in the hospital where the infection occurred. d. H,: The number of infections is dependent on the hospital
