Pauline3607
09.04.2021 •
Mathematics
In an effort to reduce boarding time, an airline tries a new method of boarding its planes. Historically, only 32% of passengers were satisfied with the boarding process random sample of 32 passengers using the new boarding process found 44% who said they were satisfied with the boarding process, yielding a test statistic of .
(a) What is the p-value of the hypothesis test to determine if this new boarding process resulted in improved passenger satisfaction? (4 decimals)
(b) What is the meaning of a Type 11 error in this context? The airline concludes a greater proportion of passengers were satisfied, when in reality, the same proportion of passengers were satisfied.
(c) Which significance level would minimize the likelihood of making a Type II error?
a = 0.01
a = 0.10
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Ответ:
Test statistics of 1.455
P-value = 0.0728
Step-by-step explanation:
From the given information:
The test statistics can be computed as:
Z = 1.455
We want to test if the customer satisfaction increased significantly(one-tailed test)
Null hypothesis:
Alternative hypothesis:
P-value = P(Z>1.455)
= 0.0728
b) Type II error implies the error of accepting
when 
is true.
This implies inferring that there is no huge improvement in passenger's satisfaction when there is.
c) Type 1 and Type II errors are inversely proportional. In this situation, as one increases, the other definitely decreases.
∴ A Smaller value of Type II error will be achieved by a higher type I error.
⇒ 0.10
Ответ:
Valley
Deposition develops a flood plain just as erosion makes valleys.