Question

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 the​ P-value using

alphaαequals=0.050.05.

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	228	264	359	480	533
Crash Fatality Rate	15.81	15.71	15.51	15.31	14.9

What are the null and alternative​ hypotheses?

The test statistic t is

The​ P-value is

Because the​ P-value is (less or greater) than the significance level 0.05, there (is or is not) 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 car​ fatalities? (options listed below)

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

B. The results suggest that an increase in imported lemons causes in an increase in car fatality rates

C. The results suggest that imported lemons cause car fatalities.

D. The results do not suggest any​ cause-effect relationship between the two variables.

Answer 1

The test statistic t is -6.156.

The​ P-value is 0.009.

Because the​ P-value is (less) than the significance level 0.05, there (is) 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

D. The results do not suggest any​ cause-effect relationship between the two variables.