Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Chapter 20, Problem 29E
To determine
To explain does this cast doubt on the airline’s claim.
Expert Solution & Answer
Answer to Problem 29E
We conclude that this cast doubt on the airline’s claim.
Explanation of Solution
It is given in the question that an airline’s public relations department says that the airline rarely loses passengers’ luggage. Thus, the null hypothesis states that the recovery rate is equal to 90% . And the alternative hypothesis states that the recovery rate is lessthan 90% . So, we define hypothesis as:
H0:p=0.90Ha:p<0.90
Thus, let us check the appropriate conditions and assumptions for inference to proceed further to test hypothesis as:
Random condition: It is satisfied as we assumed that the sample was randomly selected from the population.
Independent condition: It is satisfied as we can assume that the sample is independent.
10% condition: It is satisfied as the sample is less than 10% of all population.
Success/failure condition: It is satisfied because both are greater than ten as,
np=0.90(122)>10n(1−p)=0.10(122)>10
Thus, all the conditions are satisfied. Thus, for this first we have to select 5:1−PropZInt from the STAT TESTS menu. Then, enter the observed count and sample size for the sample. Then we will indicate what kind of test we want: one-tail lower tail, two-tail, or one-tail upper tail. Then, we will specify whether to calculate the result or draw the result. Thus, we have,
x=103n=122c=0.95=95%
So, by putting the values above by using the calculator we will get the result as,
The value of z-statistics and the P-value will be then,
z=2.80P−value=0.003
And as we know if the P-value is smaller than the significance level, then reject the null hypothesis, so, we have,
P<0.05⇒ Reject H0
Thus, we conclude that this cast doubt on the airline’s claim.
Chapter 20 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
Ch. 20 - Prob. 1ECh. 20 - Prob. 2ECh. 20 - Prob. 3ECh. 20 - Prob. 4ECh. 20 - Prob. 5ECh. 20 - Prob. 6ECh. 20 - Prob. 7ECh. 20 - Prob. 8ECh. 20 - Prob. 9ECh. 20 - Prob. 10E
Ch. 20 - Prob. 11ECh. 20 - Prob. 12ECh. 20 - Prob. 13ECh. 20 - Prob. 14ECh. 20 - Prob. 15ECh. 20 - Prob. 16ECh. 20 - Prob. 17ECh. 20 - Prob. 18ECh. 20 - Prob. 19ECh. 20 - Prob. 20ECh. 20 - Prob. 21ECh. 20 - Prob. 22ECh. 20 - Prob. 23ECh. 20 - Prob. 24ECh. 20 - Prob. 25ECh. 20 - Prob. 26ECh. 20 - Prob. 27ECh. 20 - Prob. 28ECh. 20 - Prob. 29ECh. 20 - Prob. 30ECh. 20 - Prob. 31ECh. 20 - Prob. 32E
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