Identify the test statistic, construct an appropriate confidence interval, what do the results suggest about the effectiveness of seatbelts?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
Identify the test statistic, construct an appropriate confidence interval, what do the results suggest about the effectiveness of seatbelts?
Y 9.1.13-T
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2912 occupants not wearing seat belts, 38 were killed. Among 7648 occupants wearing seat belts, 12 were killed. Use a 0.05 significand
level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.
Question Help
a. Test the claim using a hypothesis test.
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 altenative hypotheses for the hypothesis test?
OA Ho: P1 = P2
B. Ho: P1 = P2
O
C Ho: P1 S P2
H1: P1<P2
H: Pi P2
H: P1 # P2
D. Ho p1 zP2
H: p1 P2
Ho: P1 = P2
Ho: P1 = P2
H: P1 = P2
H: P1> P2
Identify the test statistic.
(Round to two decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
5 parts
remaining
0V 1021
M
O
->
esc
backspace
&
%24
96
%23
7
8
4.
5
21
3.
1.
tab
enter
k
a
a
V
shift
ctrl
alt
v
2N
Transcribed Image Text:Y 9.1.13-T A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2912 occupants not wearing seat belts, 38 were killed. Among 7648 occupants wearing seat belts, 12 were killed. Use a 0.05 significand level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. Question Help a. Test the claim using a hypothesis test. 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 altenative hypotheses for the hypothesis test? OA Ho: P1 = P2 B. Ho: P1 = P2 O C Ho: P1 S P2 H1: P1<P2 H: Pi P2 H: P1 # P2 D. Ho p1 zP2 H: p1 P2 Ho: P1 = P2 Ho: P1 = P2 H: P1 = P2 H: P1> P2 Identify the test statistic. (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer 5 parts remaining 0V 1021 M O -> esc backspace & %24 96 %23 7 8 4. 5 21 3. 1. tab enter k a a V shift ctrl alt v 2N
Expert Solution
Step 1

Given

p^1= probability of sample of occupants getting killed who are not wearing seatbelts=382912p^2=probability of sample of occuoants getting killed who wear seat belts=127648n1= sample size for occupants not wearing seat beltsn2= sample size for occupants wearing seat beltsSignificance level =0.05

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman