Is the test statistic in the rejection region? How do you know?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 16CT: How many six-digit license plates can be made if no plate begins with 0 or 1?
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what is C

c.) Is the test statistic in the rejection region? How do you know?

The contingency table shows the results of a random sample of high school students
with respect to year and grade point average. At the significance level, a-0.05, test
the claim that at least two of the variables are dependent.
Use the Independence #2 calculator to test the hypothesis. Fill in the contingency
table for row and columns based on the results. Also fill in the space for the level of
significance a
H O: The variables are independent
H a: At least two of the variables are dependent (claim)
a.) Find the degrees of freedom, the critical value and identify the rejection region.
b.) Find the chi-square test statistic
c.) Is the test statistic in the rejection region? How do you know?
d.) Do we reject or fail to reject the null hypothesis?
e.) Is there enough evidence to support the claim that at least two of the variables
are dependent? Give a full conclusion statement including the level of significance.
Transcribed Image Text:The contingency table shows the results of a random sample of high school students with respect to year and grade point average. At the significance level, a-0.05, test the claim that at least two of the variables are dependent. Use the Independence #2 calculator to test the hypothesis. Fill in the contingency table for row and columns based on the results. Also fill in the space for the level of significance a H O: The variables are independent H a: At least two of the variables are dependent (claim) a.) Find the degrees of freedom, the critical value and identify the rejection region. b.) Find the chi-square test statistic c.) Is the test statistic in the rejection region? How do you know? d.) Do we reject or fail to reject the null hypothesis? e.) Is there enough evidence to support the claim that at least two of the variables are dependent? Give a full conclusion statement including the level of significance.
Less than 1.00
1.00 - 1.99
2.00 - 2.99
3.00 - 3.99
4.00 +
Freshman
20
40
93
125
38
Sophomore
24
40
90
105
23
Junior
20
44
87
116
24
Senior
18
58
83
117
33
Transcribed Image Text:Less than 1.00 1.00 - 1.99 2.00 - 2.99 3.00 - 3.99 4.00 + Freshman 20 40 93 125 38 Sophomore 24 40 90 105 23 Junior 20 44 87 116 24 Senior 18 58 83 117 33
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