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sample-1 - STA 3024 Exam 1 Sample Questions 1 A researcher...

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STA 3024 Exam 1 Sample Questions 1. A researcher is conducting a chi-squared test with α = 0 . 05 to see if happiness (not happy, pretty happy, or very happy) depends on level of income (low, medium, or high). She surveys a random sample of 2859 people, creates a 3 × 3 contingency table, and calculates a test statistic value of X 2 = 61 . 2. (Assume she has done everything correctly up to this point.) She then compares her observed test statistic value to a chi-squared distribution with df = 4, and she determines that her p-value is smaller than 0.001. Since her p-value is extremely small, she concludes that there is a strong association between income and happiness. How did she make a mistake? (A) She should have used a smaller df when calculating the p-value. (B) She should have used a larger df when calculating the p-value. (C) She cannot necessarily conclude that the p-value is smaller than 0.001. (D) She cannot necessarily conclude that there is a strong association. (E) She did not make a mistake. 2. We are told that a 95% confidence interval for the average starting salary, in thousands of dollars, of college graduates with some particular major is (20 . 1 , 69 . 8). Which of the following statements about the interpretation of this confidence interval are true? Statement I: We are 95% confident that the average starting salary of college graduates with that major is between $20,100 and $69,800.
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