Applying the Concepts-Basic 10.24 Safety of hybrid cars. According to the Highway Loss NW Data Institute (HLDI), “Hybrid [automobiles] have a A safety edge over their conventional twins when it comes HYBRID to shielding their occupants from injuries in crashes" (HLDI Bulletin, Sept. 2011). Consider data collected by the HLDI on Honda Accords. In a sample of 50,132 collision claims for conventional Accords, 5,364 involved injuries; in a sample of 1,505 collision claims for hybrid Accords, 137 involved injuries. You want to use this information to determine whether the injury rate for hybrid Accords is less than the injury rate for conventional Accords. a. Identify the two qualitative variables measured for each Honda Accord collision claim. b. Form a contingency table for this data, giving the num- ber of claims in each combination of the qualitative variable categories. c. Give Ho and H, for testing whether injury rate for collision claims depends on Accord model (hybrid or conventional). d. Find the expected number of claims in each cell of the contingency table, assuming that Họ is true. e. Compute the x test statistic and compare your answer with the test statistic shown on the accompanying XLSTAT printout (below). f. Find the rejection region for the test using a = .05 and compare your answer to the critical value shown on the accompanying XLSTAT printout. Results for the variables Model and Claim: Contingency table (Model / Claim): Injury No Injury Conventional 5364 44768 Hybrid 137 1368 Test of independence between the rows and the columns (Model / Claim): Chi-square (Observed value) 3.9139 Chi-square (Critical value) 3.8415 DF 1 p-value 0.0479 alpha 0.05 g. Make the appropriate conclusion using both the re- jection region method and the p-value (shown on the XLSTAT printout). h. Find a 95% confidence interval for the difference between the injury rates of conventional and hybrid Honda Accords. (See Section 10.3.) Use the inter- val to determine whether the injury rate for hybrid Accords is less than the injury rate for conventional Accords.
Applying the Concepts-Basic 10.24 Safety of hybrid cars. According to the Highway Loss NW Data Institute (HLDI), “Hybrid [automobiles] have a A safety edge over their conventional twins when it comes HYBRID to shielding their occupants from injuries in crashes" (HLDI Bulletin, Sept. 2011). Consider data collected by the HLDI on Honda Accords. In a sample of 50,132 collision claims for conventional Accords, 5,364 involved injuries; in a sample of 1,505 collision claims for hybrid Accords, 137 involved injuries. You want to use this information to determine whether the injury rate for hybrid Accords is less than the injury rate for conventional Accords. a. Identify the two qualitative variables measured for each Honda Accord collision claim. b. Form a contingency table for this data, giving the num- ber of claims in each combination of the qualitative variable categories. c. Give Ho and H, for testing whether injury rate for collision claims depends on Accord model (hybrid or conventional). d. Find the expected number of claims in each cell of the contingency table, assuming that Họ is true. e. Compute the x test statistic and compare your answer with the test statistic shown on the accompanying XLSTAT printout (below). f. Find the rejection region for the test using a = .05 and compare your answer to the critical value shown on the accompanying XLSTAT printout. Results for the variables Model and Claim: Contingency table (Model / Claim): Injury No Injury Conventional 5364 44768 Hybrid 137 1368 Test of independence between the rows and the columns (Model / Claim): Chi-square (Observed value) 3.9139 Chi-square (Critical value) 3.8415 DF 1 p-value 0.0479 alpha 0.05 g. Make the appropriate conclusion using both the re- jection region method and the p-value (shown on the XLSTAT printout). h. Find a 95% confidence interval for the difference between the injury rates of conventional and hybrid Honda Accords. (See Section 10.3.) Use the inter- val to determine whether the injury rate for hybrid Accords is less than the injury rate for conventional Accords.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
g and h
![Applying the Concepts-Basic
10.24 Safety of hybrid cars. According to the Highway Loss
NW Data Institute (HLDI), “Hybrid [automobiles] have a
safety edge over their conventional twins when it comes
to shielding their occupants from injuries in crashes"
(HLDI Bulletin, Sept. 2011). Consider data collected by
the HLDI on Honda Accords. In a sample of 50,132
collision claims for conventional Accords, 5,364 involved
HYBRID
injuries; in a sample of 1,505 collision claims for hybrid
Accords, 137 involved injuries. You want to use this
information to determine whether the injury rate for
hybrid Accords is less than the injury rate for conventional
Асcords.
a. Identify the two qualitative variables measured for each
Honda Accord collision claim.
b. Form a contingency table for this data, giving the num-
ber of claims in each combination of the qualitative
variable categories.
c. Give Ho and Ha for testing whether injury rate for
collision claims depends on Accord model (hybrid or
conventional).
d. Find the expected number of claims in each cell of the
contingency table, assuming that Họ is true.
e. Compute the x test statistic and compare your answer
with the test statistic shown on the accompanying
XLSTAT printout (below).
f. Find the rejection region for the test using a = .05 and
compare your answer to the critical value shown on the
accompanying XLSTAT printout.
Results for the variables Model and Claim:
Contingency table (Model / Claim):
Injury
No Injury
Conver
onal
5364
44768
Hybrid
137
1368
Test of independence between the rows and the columns (Model / Claim):
Chi-square (Observed value)
Chi-square (Critical value)
3.9139
3.8415
DF
p-value
0.0479
alpha
0.05
g. Make the appropriate conclusion using both the re-
jection region method and the p-value (shown on the
XLSTAT printout).
h. Find a 95% confidence interval for the difference
between the injury rates of conventional and hybrid
Honda Accords. (See Section 10.3.) Use the inter-
val to determine whether the injury rate for hybrid
Accords is less than the injury rate for conventional
Accords.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F825269f7-526f-482a-b01e-746b99e8c12c%2Fff4ceec4-9ef3-443d-a6d7-05510f71e71b%2F5htx3qn_processed.png&w=3840&q=75)
Transcribed Image Text:Applying the Concepts-Basic
10.24 Safety of hybrid cars. According to the Highway Loss
NW Data Institute (HLDI), “Hybrid [automobiles] have a
safety edge over their conventional twins when it comes
to shielding their occupants from injuries in crashes"
(HLDI Bulletin, Sept. 2011). Consider data collected by
the HLDI on Honda Accords. In a sample of 50,132
collision claims for conventional Accords, 5,364 involved
HYBRID
injuries; in a sample of 1,505 collision claims for hybrid
Accords, 137 involved injuries. You want to use this
information to determine whether the injury rate for
hybrid Accords is less than the injury rate for conventional
Асcords.
a. Identify the two qualitative variables measured for each
Honda Accord collision claim.
b. Form a contingency table for this data, giving the num-
ber of claims in each combination of the qualitative
variable categories.
c. Give Ho and Ha for testing whether injury rate for
collision claims depends on Accord model (hybrid or
conventional).
d. Find the expected number of claims in each cell of the
contingency table, assuming that Họ is true.
e. Compute the x test statistic and compare your answer
with the test statistic shown on the accompanying
XLSTAT printout (below).
f. Find the rejection region for the test using a = .05 and
compare your answer to the critical value shown on the
accompanying XLSTAT printout.
Results for the variables Model and Claim:
Contingency table (Model / Claim):
Injury
No Injury
Conver
onal
5364
44768
Hybrid
137
1368
Test of independence between the rows and the columns (Model / Claim):
Chi-square (Observed value)
Chi-square (Critical value)
3.9139
3.8415
DF
p-value
0.0479
alpha
0.05
g. Make the appropriate conclusion using both the re-
jection region method and the p-value (shown on the
XLSTAT printout).
h. Find a 95% confidence interval for the difference
between the injury rates of conventional and hybrid
Honda Accords. (See Section 10.3.) Use the inter-
val to determine whether the injury rate for hybrid
Accords is less than the injury rate for conventional
Accords.
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