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.

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 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.


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