Need help answering and understanding numbers#13-17 please. Thank you much appre

Question

Need help answering and understanding numbers#13-17 please. Thank you much appreciated! Selve the problem. 12) Complete the statement by filling in the blanks. When constructing a confidence interval, if the level of confidence increases, the margin of error must and the confidence interval will be .. A) Increase; wider. C) Decrease, wider B) Increase; narrower D) Decrease, narrower. ple of workers at a large corporation you find that 58% of 200 went on a vacation last year rom home for at least a week. An approximate 95% confidence interval is (0.50, 0.66), which of the following statements is a correct interpretation? 13) A) We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%. B) There is a 95% chance that a random selected coworker has gone on a vacation last year C) We are 95% confident that between 50% and 66% of the samples will have a proportion D) 95% of the coworkers fall in the interval (050, 0.66). away from home for at least a week. near 58%. Solve the problem. 14) A polling agency wants to estimate the proportion of U.S. citizens who support the14) president's educational policies. They surveyed 1500 US citizens and found a 95% confidence interval for the difference in proportions between men and women who support the president's educational policies as (-0.075 to 0.025) where population 1 is men and population 2 is women. Interpret the result and state if the assumptions are satisfied Use the following information to answer the question. Suppose that a recent poll of American households about pet ownership found that for households with one pet, 39% owned a dog, 33% owned a cat, and 7% owned a bird. Suppose that three households are selected randomly and with replacement. 15) What is the probability that all three randomly selected households own a dog? (Round to the 15) nearest hundredth) A) 0.23 B) 0.39 C) 0.06 D) None of these d. 16) 16) What is the probability that at least one of the three randomly selected households own a dog? (Round to the nearest hundredth) B) 0.27 A) 0.70 C) 0.77 D) 0.61 Use Bayes' theorem to find the indicated probability. n are infected with a certain disease. There is a test for the disease test is not completely accurate. 93.9% of those who have the disease test positive. 17) 38% of a populatio however the However 4.1% of those who do not have the disease also test positive has the disease given that the test result is positive? D) 0.905 B) 0.525 C) 0.475 A) 0.038

Explanation / Answer

Question 13

Option A is correct as per definition of confidence interval.

Question 14

Here as the 95% confidence interval of difference between men and women opinion about education'spolicies of president is in between (-0.07t to 0.025) that means there is no significant difference between opinion of males and females towards the education policy.

Question1 5

P(Dog) = 0.39 ; Pr(Cat) = 0.33 ; Pr(Bird) = 0.07

Pr(Household own a dog) = 3C3 * (0.39)3(0.61)0 = 0.0593 or 0.06 (option C is correct)

Question 16

Pr(at least one household own a dog) = 1 - Pr(No household own a dog) = 1 - 3C0 * (0.39)0(0.61)3 =1 0.23 = 0.77 (Option C is correct)

Question 17

Pr(Infected population) = 0.038

Pr(Positive l have disease) = 0.939

Pr(Positive l Dont have disease) = 0.041

Pr(Result is positive) = 0.939 * 0.038 + ( 1- 0.038) * 0.041 = 0.075124

Pr(Diseased l results is positive) = 0.939 * 0.038/ [0.939 * 0.038 + ( 1- 0.038) * 0.041] = 0.475

Option c is correct

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