Concept explainers
Complete Hypothesis Test. In Exercises 15–22, carry out the following steps.
- a. State the null and alternative hypotheses.
- b. Assuming independence between the two variables, find the expected frequency for each cell of the table.
- c. Find the value of the χ2 statistic.
- d. Use the given significance level to find the χ2 critical value.
- e. Using the given significance level, complete the test of the claim that the two variables are independent. State the conclusion that addresses the original claim.
16. Texting and Seat Belt Use. In a study of high school students at least 16 years of age, researchers obtained the survey results summarized in the accompanying table (based on data from “Texting While Driving and Other Risky Motor Vehicle Behaviors Among U.S. High School Students” by O’Malley, Shults, and Eaton, Pediatrics, Vol. 131, No. 6). Use a 0.05 significance level to test the claim of independence between texting while driving and irregular seat belt use. Are those two risky behaviors independent of each other?
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- Test the null hypothesis H0 : β1 = β2 against the alternative H1 : β1 < β2 at 1% significance level.arrow_forwardIn each of Exercises, we have given the P-value for a hypothesis test. For each exercise, refer to Table to determine the strength of the evidence against the null hypothesis. P-value Evidence against H0 P > 0.10 Weak or none 0.05 < P ≤ 0.10 Moderate 0.01 < P ≤ 0.05 Strong P ≤ 0.01 Very strong P = 0.086arrow_forwardConsider the following statements: I. As far as the probability of a Type I error is concerned, a two-tailed hypothesis test is more accurate than a one-tailed hypothesis test. II. A point estimation procedure in a one sample scenario utilizes information in a sample to arrive at two points, one positive and one negative in order to estimate the population parameter of interest. a. I and II are both true. b. I and II are both false. c. I is true and II is false. d. I is false and II is true. e. I is false and II is sometimes true.arrow_forward
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