Expedia would like to test the hypothesis that the proportion of United Airline flights that arrive on-time is less than 0.80. A random sample of 110 United Airline flights found that 82 arrived on-time. Expedia would like to set a = 0.02. Which one of the following statements is true?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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Expedia would like to test the hypothesis that
the proportion of United Airline flights that
arrive on-time is less than 0.80. A random
sample of 110 United Airline flights found that
82 arrived on-time. Expedia would like to set a =
0.02. Which one of the following statements is
true?
a.
Because the p-value is less than a, we
reject the null hypothesis and conclude
that the proportion of United Airline
flights that arrive on-time is less than
0.80.
O b. Because the p-value is greater than a,
we reject the null hypothesis and cannot
conclude that the proportion of United
Airline flights that arrive on-time is less
than 0.80.
C.
Because the p-value is less than a, we
fail to reject the null hypothesis and
cannot conclude that the proportion of
United Airline flights that arrive on-time
is less than 0.80.
d. Because the p-value is greater than a,
we fail to reject the null hypothesis and
cannot conclude that the proportion of
United Airline flights that arrive on-time
is less than 0.80.
Transcribed Image Text:Expedia would like to test the hypothesis that the proportion of United Airline flights that arrive on-time is less than 0.80. A random sample of 110 United Airline flights found that 82 arrived on-time. Expedia would like to set a = 0.02. Which one of the following statements is true? a. Because the p-value is less than a, we reject the null hypothesis and conclude that the proportion of United Airline flights that arrive on-time is less than 0.80. O b. Because the p-value is greater than a, we reject the null hypothesis and cannot conclude that the proportion of United Airline flights that arrive on-time is less than 0.80. C. Because the p-value is less than a, we fail to reject the null hypothesis and cannot conclude that the proportion of United Airline flights that arrive on-time is less than 0.80. d. Because the p-value is greater than a, we fail to reject the null hypothesis and cannot conclude that the proportion of United Airline flights that arrive on-time is less than 0.80.
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