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2021-02-24

Lemons and Car Crashes Listed below are annual data for various years. The data are weights (metric tons) of lemons imported from Mexico and U.S. car crash fatality rates per 100,000 population [based on data from “The Trouble with QSAR (or How I Learned to Stop Worrying and Embrace Fallacy),” by Stephen Johnson, Journal of Chemical Information and Modeling, Vol. 48, No. 1]. Is there sufficient evidence to conclude that there is a linear correlation between weights of lemon imports from Mexico and U.S. car fatality rates? Do the results suggest that imported lemons cause car fatalities?

averes8

Step 1

The null and alternative hypotheses are, ${H}_{0}:p=0$ Weight of lemon imports from Mexico and the U.S. car fatality rate do not significantly differ. ${H}_{a}:p\ne 40$ The weight of imported lemons from Mexico and the U.S. car fatality rate are not equal. This is a two-tailed test.The linear correlation coefficient is obtained using the Excel function = CORREL(array1, array2) results is – 0.959.

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