Question

# Lemons and Car Crashes Listed below are annual data for various years. The data are weigh

Modeling
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? $$\begin{array}{|c|c|}Lemon\ imports &230&265&368&480&630\\ Crash\ Fatality\ Rate&159&157&15.3&15.4&14.9\end{array}$$
Step 1 The null and alternative hypotheses are, $$H_0 : p = 0$$ There is no significance difference between weight of lemon imports from Mexico and U.S. car fatality rate. $$H_a : p \neq 40$$ There is a difference between weight of lemon imports from Mexico and U.S. car fatality rate. This is a two-tailed test.The linear correlation coefficient is obtained using the Excel function = CORREL(array1, array2) results is – 0.959.