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 a = 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 Crash Fatality Rate 232 15.8 266 15.7 483 15.3 358 530 14.8 15.4 What are the null and alternative hypotheses? O A. Ho: p#0 O B. Ho: p=0 H;:p=0 H1:p<0 OC. Ho: p=0 O D. Ho: p=0 H:p>0 H,: p40 Construct a scatterplot. Choose the correct graph below. OA. O B. Oc. OD. AY 17- Q Ay 17- Q 171 AY 17- 17- 16- 16 16- 16- 15- 15- 15- 15- 14+ 14+ 14+ 14+ 200 400 600 200 400 600 200 400 600 200 400 600 The linear correlation coefficient is r=. (Round to three decimal places as needed.) The test statistic is t= O IRnund in thraa darimal nlarae ae naarlar

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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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 a = 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
Crash Fatality Rate
232
15.8
483
15.3
266
358
530
15.7
15.4
14.8
What are the null and alternative hypotheses?
O A. Ho: p#0
O B. Ho: p=0
H,:p=0
H1:p<0
OC. Ho:p=0
O D. Ho: p=0
H;:p>0
H1:p#0
Construct a scatterplot. Choose the correct graph below.
O A.
O B.
OC.
O C.
OD.
Ay
17-
Ay
17-
Ay
17-
Ay
17-
lo
16-
16-
16-
16-
15-
15-
15-
15-
14-
14+
14+
->
14+
200 400 600
200 400
600
200
400
600
200 400
600
The linear correlation coefficient is r=.
(Round to three decimal places as needed.)
The test statistic is t=.
IRound to threo darimal nlares ae nooded
Transcribed Image Text: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 a = 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 Crash Fatality Rate 232 15.8 483 15.3 266 358 530 15.7 15.4 14.8 What are the null and alternative hypotheses? O A. Ho: p#0 O B. Ho: p=0 H,:p=0 H1:p<0 OC. Ho:p=0 O D. Ho: p=0 H;:p>0 H1:p#0 Construct a scatterplot. Choose the correct graph below. O A. O B. OC. O C. OD. Ay 17- Ay 17- Ay 17- Ay 17- lo 16- 16- 16- 16- 15- 15- 15- 15- 14- 14+ 14+ -> 14+ 200 400 600 200 400 600 200 400 600 200 400 600 The linear correlation coefficient is r=. (Round to three decimal places as needed.) The test statistic is t=. IRound to threo darimal nlares ae nooded
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 a = 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
266
483
15.3
232
358
530
Crash Fatality Rate
15.8
15.7
15.4
14.8
TO-
TO-
10
15-
15-
15-
15-
14+
->
14+
14-
14+
200 400 60ỏ0
200 400
600
0
200 400 600
200 400
600
The linear correlation coefficient is r=.
(Round to three decimal places as needed.)
The test statistic is t=.
(Round to three decimal places as needed.)
The P-value is.
(Round to three decimal places as needed.)
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 a = 0.05.
Do the results suggest that imported lemons cause car fatalities?
O A. The results suggest that an increase in imported lemons causes car fatality rates to remain the same.
O B. The results do not suggest any cause-effect relationship between the two variables.
C. The results suggest that imported lemons cause car fatalities.
O D. The results suggest that an increase in imported lemons causes in an increase in car fatality rates.
Transcribed Image Text: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 a = 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 266 483 15.3 232 358 530 Crash Fatality Rate 15.8 15.7 15.4 14.8 TO- TO- 10 15- 15- 15- 15- 14+ -> 14+ 14- 14+ 200 400 60ỏ0 200 400 600 0 200 400 600 200 400 600 The linear correlation coefficient is r=. (Round to three decimal places as needed.) The test statistic is t=. (Round to three decimal places as needed.) The P-value is. (Round to three decimal places as needed.) 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 a = 0.05. Do the results suggest that imported lemons cause car fatalities? O A. The results suggest that an increase in imported lemons causes car fatality rates to remain the same. O B. The results do not suggest any cause-effect relationship between the two variables. C. The results suggest that imported lemons cause car fatalities. O D. The results suggest that an increase in imported lemons causes in an increase in car fatality rates.
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