Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
6th Edition
ISBN: 9781337115186
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Textbook Question
Chapter 12.1, Problem 1E
Test the following hypotheses by using the χ2 goodness of fit test.
H0: pA = .40, pB = .40, and pC = .20
Ha: The population proportions are not
pA = .40, pB = .40, and pC = .20
A sample of size 200 yielded 60 in category A, 120 in category B, and 20 in category C. Use α = .01 and test to see whether the proportions are as stated in H0.
- a. Use the p-value approach.
- b. Repeat the test using the critical value approach.
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Consider the following null and alternative hypotheses for testing whether the average GPA of university students is different than 3.2.
H0:u = 3.2
Ha:u not= 3.2
In this case, the consequence of Type I error is...
a.
assuming university students have a GPA equal to 3.2, when in fact it is not equal to 3.2.
b.
assuming university students have a lower GPA than 3.2, when in fact it is equal to 3.2.
c.
assuming university students have a higher GPA than 3.2, when in fact it is equal to 3.2.
d.
assuming university students have a GPA not equal to 3.2, when in fact it is equal to 3.2.
A hypothesis test was conducted, at α = 0.05, to determine whether a certain chemical compound lasts longer than 30 seconds under a certain specified condition.
The hypotheses used were:
H0: µ = 30
Ha: µ > 30
A sample mean of 37.4 seconds was obtained from a sample of size n = 80. All statistical assumptions were met, and a p-value of p = 0.0089 was obtained.
Which of the following is correct?
a) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds from a sample of size n = 80 would be only .0089.
b) If the null hypothesis were in reality false that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or less) from a sample of size n = 80 would be only .0089.
c) If the null hypothesis were in reality true that the population mean was equal to 30, then the probability of observing a sample mean of 37.4 seconds (or greater) from…
Test the following hypotheses by using the
?2
goodness of fit test.
H0:
pA = 0.40, pB = 0.40, and pC = 0.20
Ha:
The population proportions are not pA = 0.40, pB = 0.40, and pC = 0.20.
A sample of size 200 yielded 120 in category A, 20 in category B, and 60 in category C. Use ? = 0.01 and test to see whether the proportions are as stated in
H0.
(a)
Use the p-value approach.
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Do not reject H0. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20.Reject H0. We conclude that the proportions are equal to 0.40, 0.40, and 0.20. Reject H0. We conclude that the proportions differ from 0.40, 0.40, and 0.20.Do not reject H0. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20.
(b)
Repeat the test using the critical value approach.
Find the value of the test statistic.
State the critical values…
Chapter 12 Solutions
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
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