A 2011 survey by the Bureau of Labor Statistics reported that 91% of Americans have paid leave. In January 2012, a random survey of 1,000 workers showed that 89% had paid leave.The resulting p-value is 0.0271; thus, the null hypothesis is rejected. It is concluded that there has been a decrease in the proportion of people who have paid leave from 2011 to January 2012.What type of error is possible in this situation? Type I Type II Neither Both

In the 2010 General Social Survey, 17% of Americans said that they had no religious preference. In other words, they said they had “no religion” rather than being Protestant, Catholic, Jewish, or another religion. In 2014, the General Social Survey sampled 2,538 Americans and found that 21% of those surveyed said that they had no religious preference. The resulting p-value is 0.0003; thus, the null hypothesis is rejected. It is concluded that there has been an increase in the proportion of Americans who have no religious preference between 2010 and 2014.What type of error is possible in this situation?Group of answer choicesNeitherBothType IIType I

A manufacturer of rechargeable laptop batteries markets its batteries as having, on average, 500 charges. A consumer group decides to test this claim by assessing the number of times 30 of their laptop batteries can be recharged and finds the average is 497, with a standard deviation of 10.The resulting p-value is 0.1111; thus, the null hypothesis is not rejected. The consumer group concludes that the manufacturer’s claim that its laptop batteries can be recharged, on average, 500 times is accurate.What type of error is possible in this situation?Group of answer choicesType IIBothNeitherType I

Suppose that a major polling organization wanted to test the hypothesis that there was a change in the president’s “approval rating” since last month. Last month, 35% of the representative sample of registered voters approved of the president. For this month, the null hypothesis was that the approval rating equals 35% and the alternative hypothesis is that the approval rating does not equal 35%. The significance level for this test was 0.05.The results of the hypothesis test of the new survey showed a p-value of 0.008.Which of the following statements is correct? Check all that apply. The results were statistically significant. The results were not statistically significant. The null hypothesis should be rejected. The null hypothesis should be accepted. The null hypothesis cannot be rejected.

A pregnancy test reporting that a woman is not pregnant eventhough she is, is an example of aA. Type I errorB. Type II errorC. Type III errorD. Type IV error44. We say that an outcome is statistically significant if ‘p’ isA. equal to 0.05B. less than 0.05C. greater than 0.05D. greater than 145. Which of the following represents a null hypothesis ?A. There is no relationship between the hours of sleep and testperformance.B. There will be a difference between the number of aggressive actionsperformed by male and those performed by females.C. The younger group will spend more time on their cell phones thanthe older group.D. The will be no score for the participants on the test for honesty.46. Which of the following accurately represents a one-tailedalternative hypothesis ?E. There is no relationship between the hours of sleep and testperformance.F. There will be a difference between the number of aggressive actionsperformed by male and those performed by females.G. The younger group will spend more time on their cell phones thanthe older group.H. The will be no score for the participants on the test for honesty.47. Which of the following accurately represents a two-tailedalternative hypothesis ?I. There is no relationship between the hours of sleep and testperformance.J. There will be a difference between the number of aggressive actionsperformed by male and those performed by females.K. The younger group will spend more time on their cell phones thanthe older group.L. The will be no score for the participants on the test for honesty.END OF QUESTION PAPER

If a school administrator claims that less than 50% of the students are dissatisfied with the food served in the school canteen. The claim used a sample data obtained from a survey of 500 students of the school wherein 54% indicated their dissatisfaction with the food served in the school canteen. Which of the following is the appropriate alternative hypothesis?p= 0.50p < 0.50p > 0.50p ≠ 0.50