Conduct the hypothesis test and provide the test statste and the ertical value. and state the conalusion. A person randomly selected 100 ehecks and recorded the cents portions of those checks. The table below lists those cents portons categorized accerding to the indicated values. Use a 0.05 significance level to test the elaim that the four categories are equally ikely. The person expected that many checks for whele dollar amounts would resut in a disproportionasely high frequency for the frst category. but do the results support that expectation? Cents portion of check 0-24 Number 75-90 25-40 50-74 Cliekhere to ve the chiare distebution The test statiste is O (Round to three decimal places as needed.) The eritical value is O (Round to three decimal places as needed.) State the conclusion. VHo. There sufcient evidence to warrant rejection of the claim that the four categories are ecualy likely. The results to support the expectation that the frequency for the frst category is disproportionately high.

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statistics class

Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion.
A person randomly selected 100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values. Use a 0.05 significance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in a disproportionately high
frequency for the first category, but do the results support that expectation?
Cents portion of check
50-74
0-24
35
25-49
75-99
Number
24
17
24
Click here to view the chi-square distribution table
The test statistic is.
(Round to three decimal places as needed.)
The critical value is
(Round to three decimal places as needed.)
State the conclusion.
Ho. There
V sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results
to support the expectation that the frequency for the first category is disproportionately high.
Transcribed Image Text:Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person randomly selected 100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values. Use a 0.05 significance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in a disproportionately high frequency for the first category, but do the results support that expectation? Cents portion of check 50-74 0-24 35 25-49 75-99 Number 24 17 24 Click here to view the chi-square distribution table The test statistic is. (Round to three decimal places as needed.) The critical value is (Round to three decimal places as needed.) State the conclusion. Ho. There V sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results to support the expectation that the frequency for the first category is disproportionately high.
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
358
15.5
228
264
480
533
15.8
15.7
15.2
14.9
What are the null and alternative hypotheses?
O A. H: p=0
O B. H,: p=0
H,:p<0
H,: p>0
OC. H: p=0
O D. H,: p*0
H, :p=0
H,: p#0
Construct a scatterplot. Choose the correct graph below.
O A.
O B
В.
Oc.
OD.
Ay
17-
17+
Ay
17-
Ay
17-
16-
16-
16-
16-
15
15
15
15
of
to
14-
200 400
14
14-
14-
600
200
400 600
200 400
600
200 400
0 600
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
V than the significance level 0.05, there
V 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?
A. The results suggest that imported lemons cause car fatalities.
B. The results do not suggest any cause-effect relationship between the two variables.
C. The results suggest that an increase in imported lemons causes in an increase in car fatality rates.
O D. The results suggest that an increase in imported lemons causes car fatality rates to remain the same
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 358 15.5 228 264 480 533 15.8 15.7 15.2 14.9 What are the null and alternative hypotheses? O A. H: p=0 O B. H,: p=0 H,:p<0 H,: p>0 OC. H: p=0 O D. H,: p*0 H, :p=0 H,: p#0 Construct a scatterplot. Choose the correct graph below. O A. O B В. Oc. OD. Ay 17- 17+ Ay 17- Ay 17- 16- 16- 16- 16- 15 15 15 15 of to 14- 200 400 14 14- 14- 600 200 400 600 200 400 600 200 400 0 600 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 V than the significance level 0.05, there V 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? A. The results suggest that imported lemons cause car fatalities. B. The results do not suggest any cause-effect relationship between the two variables. C. The results suggest that an increase in imported lemons causes in an increase in car fatality rates. O D. The results suggest that an increase in imported lemons causes car fatality rates to remain the same
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