Basic Business Statistics, Student Value Edition
14th Edition
ISBN: 9780134685113
Author: Mark L. Berenson, David M. Levine, David F. Stephan, Kathryn Szabat
Publisher: PEARSON
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Chapter 10, Problem 37PS
To determine
Determine the upper critical values of F in the following one-tail tests.
a.
b.
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Students have asked these similar questions
Two researchers conduct separate studies to test Ho: p=0.50
against Ha: p0.50, each with n = 400. Researcher A gets 226
observations in the category of interest, and
p=
6=226/400=0.565. Researcher B gets 225 in the category of
interest, and p = 225/400=0.5625. Complete parts (a) through
(d) below.
a. Find the z-scores and P-values for both researchers.
Researcher A
Z =
Researcher B
Z =
P-value =
P-value =
(Round the z-scores to two decimal places as needed. Round
the P-values to three decimal places as needed.)
The result in case A is
The result in case B is
b. Using α = 0.01, indicate in each case whether the result is
"statistically significant." Interpret.
What does the statistical significance of the results above imply?
OA. A difference in conclusions between two hypothesis
tests does not necessarily mean that the test with the
result that is deemed "statistically significant" is actually
much more significant than the test with the result that
is deemed "not statistically…
Recall the data for the three populations.
p1 = 0.576
n1 = 250
p2 = 0.48
n2 = 300
p3 = 0.45
n3 = 200
Find the critical value for the pairwise difference between populations i = 1 and j = 3,
CV13,
rounding the result to four decimal places.
CVij
=
??2
pi(1 − pi)
ni
+
pj(1 − pj)
nj
CV13
=
?20.05
p1(1 − p1)
n1
+
p3(1 − p3)
n3
=
5.991
0.576(1 − 0.576)
250
+
0.45(1 − 0.45)
=
Find the critical value for the pairwise difference between populations i = 2 and j = 3,
CV23,
rounding the result to four decimal places.
CVij
=
??2
pi(1 − pi)
ni
+
pj(1 − pj)
nj
CV23
=
?20.05
p2(1 − p2)
n2
+
p3(1 − p3)
n3
=
5.991
0.48(1 − 0.48)
300
+
0.45(1 − 0.45)
=
A researcher obtains M = 45 with SS = 250 for a sample of n = 10 women and M = 49 with SS = 270 for a sample of n = 10 men. If the two samples are used to evaluate the mean difference between the two populations, what value will be obtained for the t statistic?
Chapter 10 Solutions
Basic Business Statistics, Student Value Edition
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