You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Expected Frequency Frequency Observed Category A 5 B 10 12 D 18 17 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) What are the degrees of freedom for this test? d.f.- What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null O accept the alternative As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. O There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. O The sample data support the claim that all 5 categories are equally likely to be selected. O There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.
You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Expected Frequency Frequency Observed Category A 5 B 10 12 D 18 17 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded Pearson residuals in your calculations.) What are the degrees of freedom for this test? d.f.- What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null O accept the alternative As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. O There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected. O The sample data support the claim that all 5 categories are equally likely to be selected. O There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely
to be selected. Complete the table.
Observed
Expected
Category
Frequency Frequency
A
B
10
12
18
E
17
Report all answers accurate to three decimal places. But retain unrounded numbers for future
calculations.
What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and
remember to use the unrounded Pearson residuals in your calculations.)
x =
What are the degrees of freedom for this test?
d.f.=
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
O less than (or equal to) a
O greater than a
This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
O accept the alternative
As such, the final conclusion is that..
O There is sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to
be selected.
O There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely
to be selected.
O The sample data support the claim that all 5 categories are equally likely to be selected.
O There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be
selected.
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