Question

7. 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 alphaequals0.05. 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)

231         15.9

264         15.7

358         15.5

482         15.3

531         14.8

The linear correlation coefficient r is____

(Round to three decimal places as​ needed.)

The test statistic t is____

(Round to three decimal places as​ needed.)

The​ P-value is____

(Round to three decimal places as​ needed.)

Because the​ P-value is (greater/Less) than the significance level 0.05​, there (is/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?

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 rates.

Answer 1