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evanredpath
evanredpath
10.04.2020 • 
Mathematics

A 2008 study by the National Highway Traffic Safety Administration reported that 52% of all car crashes occur within 5 miles of the crashing person's home. Jill is skeptical of this report and believes that the true proportion of such crashes is more than 52%. Jill collects a random sample of crashes and finds that 55% have occurred within 5 miles of the crashing person's home. She conducts a hypothesis test. The p-value for the test is calculated to be 0.143. Which of the statements below are correct interpretations of the p-value? You should choose all that are correct interpretations. The p-value is the probability that the null hypothesis is true. a. The p-value is the probability of obtaining a sample result at least as or more in favor of the alternative hypothesis if the null hypothesis is true. b. This p-value suggests that based on this sample there is strong evidence that the null model is not compatible with the data. c. The p-value is the proportion of times in repeated sampling that the alternative hypothesis is true. If we repeat the hypothesis test many times, the p-value is the proportion of times our test statistic will be close to the expected value of the null distribution. d. This p-value suggests that based on this sample there is little evidence that the null model is not compatible with the data.

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