A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2740 occupants not wearing seat belts, 38 were killed. Among 7645 occupants wearing seat belts, 12 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. OA. Ho: P₁ P₂ H₁: P₁ = P2 OD. Ho: P₁ P2 H₁: P₁ P2. Identify the test statistic. 2= 7.98 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? B. Ho: P1 P2 H₁: P₁ P2 The appropriate confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) OE. Ho: P1 P2 H₁: P₁ #P2 The P-value is less than the significance level of a = 0.05, so wearing seat belts. b. Test the claim by constructing an appropriate confidence interval. reject the null hypothesis. There OC. Ho: P₁ P₂ H₁: P₁ P₂ OF. Ho: P₁ SP₂ H₁: P₁ P2 sufficient evidence to support the claim that the fatality rate is higher for those not

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2740 occupants not wearing seat belts, 38 were killed. Among 7645 occupants wearing seat belts, 12
were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.
A
OA. Ho: P₁ P2
H₁: P₁ = P₂
2
OD. Ho: P₁ P2
H₁: P₁ P2
Identify the test statistic.
z = 7.98
(Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.000
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
View an example Get more help.
*
F2
The P-value is less than the significance level of a = 0.05, so
wearing seat belts.
b. Test the claim by constructing an appropriate confidence interval.
W
The appropriate confidence interval is < (P₁-P₂) <
(Round to three decimal places as needed.)
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Transcribed Image Text:A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2740 occupants not wearing seat belts, 38 were killed. Among 7645 occupants wearing seat belts, 12 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. A OA. Ho: P₁ P2 H₁: P₁ = P₂ 2 OD. Ho: P₁ P2 H₁: P₁ P2 Identify the test statistic. z = 7.98 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? View an example Get more help. * F2 The P-value is less than the significance level of a = 0.05, so wearing seat belts. b. Test the claim by constructing an appropriate confidence interval. W The appropriate confidence interval is < (P₁-P₂) < (Round to three decimal places as needed.) S chapt28_lecture.pdf X command # 3 80 F3 E D $ 4 C a F4 R F chapt27_lecture.pdf 85 % V F5 T G OE. Ho: P₁ P2 H₁: P₁ P2 B. Ho: P1 P2 H₁: P₁ P2 ^ 6 B reject the null hypothesis. There MacBook Air C F6 Y H & 7 N F7 U J * 00 8 DII F8 I M ( 9 - sufficient evidence to support the claim that the fatality rate is higher for those not K F9 O V - OC. Ho: P₁ P2 H₁: P₁ P₂ < OF. Ho: P₁ SP₂ H₁: P₁ #P₂ ) 0 L A F10 P . v > Clear all - : i I command option F11 { [ 2.1 ? + 11 = : Check answer Show All F12 } 1 X delete ▼ re
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