In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 319 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? Identify the null and alternative hypotheses for this test. Choose the correct answer below.
In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 319 orders observed. Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? Identify the null and alternative hypotheses for this test. Choose the correct answer below.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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In a study of the accuracy of fast food drive-through orders, one restaurant had
40
orders that were not accurate among
319
orders observed. Use a
0.05
significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?Identify the null and alternative hypotheses for this test. Choose the correct answer below.
H0:
p=0.1
H1:
p≠0.1
H0:
p=0.1
H1:
p<0.1
H0:
p=0.1
H1:
p>0.1
H0:
p≠0.1
H1:
p=0.1
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
(Round to two decimal places as needed.)
Identify the P-value for this hypothesis test.
The P-value for this hypothesis test is
(Round to three decimal places as needed.)
Identify the conclusion for this hypothesis test.
Reject
H0.
There
is not
sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.Fail to reject
H0.
There
is
sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.Fail to reject
H0.
There
is not
sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.Reject
H0.
There
is
sufficient evidence to warrant rejection of the claim that the rate of inaccurate orders is equal to 10%.Does the accuracy rate appear to be acceptable?
Since there
is
sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the inaccuracy rate is unacceptable, so the restaurant should work to lower that rate.Since there
is not
sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, it is plausible that the inaccuracy rate
is
10%.
This rate would be too high,
the restaurant should work to lower the rate.Since there
is not
sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the restaurant should work to higher that rate.Since there
is
sufficient evidence to reject the claim that the rate of inaccurate orders is equal to 10%, the inaccuracy rate is acceptableExpert Solution
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