Listed below are annual data for various years. the data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. construct a scatterplot, find the value of the linear correlation coefficient r, and find thep-value using α=0.05. is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? do the results suggest that imported lemons cause car fatalities?

lemon_imports_(x) crash_fatality_rate_(y)
230 15.8
264 15.6
359 15.5
482 15.3
531 14.9

what are the null and alternative hypotheses?

construct a scatterplot.

the linear correlation coefficient r is

the test statistic t is

the p-value is

because the p-value is than the significance level 0.05, there sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of α=0.05.

do the results suggest that imported lemons cause carfatalities?

a. the results suggest that an increase in imported lemons causes car fatality rates to remain the same.

b. the results do not suggest any cause-effect relationship between the two variables.

c. the results suggest that imported lemons cause car fatalities.

d. the results suggest that an increase in imported lemons causes in an increase in car fatality rate