ОВ. НЕ H₁: F

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2806 occupants not wearing seat belts, 37 were killed. Among 7699 occupants wearing seat belts, 20 were killed. Use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.
Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null
and alternative hypotheses for the hypothesis test?
OA. Ho: P₁ P2
H₁: P₁ P2
OD. Ho: P₁ P2
H₁: P₁ P2
Identify the test statistic.
Z=
(Round to two decimal places as needed.)
Identify the P-value.
P-value=
(Round to three decimal places as needed.)
OB. Ho: P₁ = P2
H₁: P₁ P₂
OE. Ho: P₁ SP₂
H₁: P₁ P₂
A
OC. Ho: P₁ P2
H₁: P₁ P2
OF. Ho: P₁
P2
H₁: P₁ P2
Transcribed Image Text:Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P2 H₁: P₁ P2 OD. Ho: P₁ P2 H₁: P₁ P2 Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) OB. Ho: P₁ = P2 H₁: P₁ P₂ OE. Ho: P₁ SP₂ H₁: P₁ P₂ A OC. Ho: P₁ P2 H₁: P₁ P2 OF. Ho: P₁ P2 H₁: P₁ P2
The P-value is
rate is higher for those not wearing seat belts.
b. Test the claim by constructing an appropriate confidence interval.
the significance level of a = 0.01, so
The appropriate confidence interval is < (P₁-P₂) <.
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
the null hypothesis. There
0, it appears that the two fatality rates are
values, it appears that the fatality rate is
for those not wearing seat belts.
sufficient evidence to support the claim that the fatality
Because the confidence interval limits include
Transcribed Image Text:The P-value is rate is higher for those not wearing seat belts. b. Test the claim by constructing an appropriate confidence interval. the significance level of a = 0.01, so The appropriate confidence interval is < (P₁-P₂) <. (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits the null hypothesis. There 0, it appears that the two fatality rates are values, it appears that the fatality rate is for those not wearing seat belts. sufficient evidence to support the claim that the fatality Because the confidence interval limits include
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