In: Statistics and Probability
indicate which of the following statistical tests is best suited for the given research scenario. You do not need to actually carry out the test (and in some cases, you haven’t been given enough information to do so); just tell us which test is the most appropriate.
1) A researcher is interested in the relationship between job satisfaction and stress. Within a large corporation, the researcher asked a random sample of workers two questions. The first question asked workers to rate their overall satisfaction with their job on a scale of 1 to 100. The second question asked the workers to rate their stress level during the past week on a scale of 1 to 100.
a) one tailed z test c) one tail t test e) chi-square
b) two tail z test d) two tail t test f) correlation
2) An administrator at a large university wants to compare the mathematical abilities of its male and female students. A researcher selects 100 men and 100 women at random from the first-year class, and administers to them a standardized math test. The men in the sample average 500 on the test, with a standard deviation of 120. The women average 450 on the test, with a standard deviation of 110. What test would be appropriate to determine whether men score higher than women?
a) one tailed z test c) one tail t test e) chi-square
b) two tail z test d) two tail t test f) correlation
3) A psychologist is interested in whether or not handedness is related to gender. Specifically, she wants to know if the proportion of left-handed men in the population is different than the proportion of left-handed women. She collects data on handedness for a random sample of 200 men and 200 women.
a) one tailed z test c) one tail t test e) chi-square
b) two tail z test d) two tail t test f) correlation
4) Is there a relationship between one’s socioeconomic status and how they like to spend their free time? We measure socioeconomic status with a four-category ordinal variable of social class (upper, middle, working, poverty). For how people spend their free time, we look to a survey question asking about respondents’ favorite movie genre (drama, action, comedy, romance, horror, other).
a) one tailed z test c) one tail t test e) chi-square
b) two tail z test d) two tail t test f) correlation
5) Are high school graduates less likely to rely on income assistance programs than those who did not finish high school?
a) one tailed z test c) one tail t test e) chi-square
b) two tail z test d) two tail t test f) correlation
6) 50.3% of Ontarians over the age of 15 in our sample are married. Is this different from the national reported rate of 46.4%?
a) one tailed z test c) one tail t test e) chi-square
b) two tail z test d) two tail t test f) correlation