1. A government watchdog association claims that 70% of people in the U.S. agree that the government is inefficient and wasteful. You work for a government agency and asked to test this claim to determine if the true proportion differs from 70%. You find that in a random sample of 1165 people in the U.S., 746 agreed with this view. Test the claim at 0.02 level of significance and determine which one of the following is a correct conclusion?
A.There is not sufficient evidence that the true population proportion is not equal to 70%.
B.There is sufficient evidence that the true population proportion is greater than 70%.
C.There is sufficient evidence that the true population proportion is less than 70%.
D.There is sufficient evidence that the true population proportion is not equal to 70%.
2. Do employees perform better at work with music playing. The music was turned on during the working hours of a business with 45 employees. There productivity level averaged 5.2 with a population standard deviation of 2.4. On a different day the music was turned off and there were 40 workers. The workers' productivity level averaged 4.8 with a population standard deviation of 1.2. What can we conclude at the 0.05 level of significance, if computed p-value is 0.125?
A.Productivity is higher with music is on.
B.Productivity is lower with music is on.
C.Productivity is almost the same when music is on or off.
D.Productivity is significantly different based on music on or off.
3. Tim wants to see if there is a relationship between the field of study of students and their political affiliation. Using sample data of 200 individuals he found p-value of 50%. At 1% level of significance, test the claim that these two variables are independent.
A.Yes, two variables are independent.
B.No, two variables are not independent.
C.Conclusion depends on the sample size.
D.Can not be determined
4. Ben is conducting a study of the annual incomes of high school teachers in metropolitan areas of fewer than 100,000 population, and in metropolitan areas having greater than 500,000 population. If computed z value is 16.1, can he conclude that the annual incomes of high school teachers in metropolitan areas having greater than 500,000 population are significantly greater than those paid in areas with fewer than 100,000 population, at 0.05 level of significance?
A.Yes.
B.No.
C.Both a and b are correct.
D.None of the above