Listed below are annual data for various years. The data areweights? (metric tons) of imported lemons and car crash fatalityrates per? 100,000 population. Construct a? scatterplot, find thevalue of the linear correlation coefficient? r, and find the?P-value using ? = 0.05. Is there sufficient evidence to concludethat there is a linear correlation between lemon imports and crashfatality? rates? Do the results suggest that imported lemons causecar? fatalities?
Lemon Imports | 231 231 | 265 265 | 358 358 | 483 483 | 531 531 | | |
Crash Fatality Rate | 15.8 15.8 | 15.6 15.6 | 15.5 15.5 | 15.3 15.3 | 14.8 14.8 | |
What are the null and alternative? hypotheses?
A.
H0?: ?=0
H1?: ? ?0
B.
H0?: ? ?0
H1?: ? =0
C.
H0?: ?=0
H1?: ? <0
D.
H0?: ?=0
H1?: ? >0
Construct a scatterplot. Choose the correct graph below.
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 thesignificance level 0.05?, there _______(is not / is) sufficientevidence to support the claim that there is a linear correlationbetween lemon imports and crash fatality rates for a significancelevel of ?= 0.05.
Do the results suggest that imported lemons cause car?fatalities?
A.
The results do not suggest any? cause-effect relationshipbetween the two variables.
B.
The results suggest that an increase in imported lemons causesin an increase in car fatality rates.
C.
The results suggest that imported lemons cause carfatalities.
D.
The results suggest that an increase in imported lemons causescar fatality rates to remain the same.
