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 Frequency Frequency Category A 12 B 25 24 D E 21 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 nul 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 categories are equally likely to be selected. O There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equaly 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. Observed Expected Frequency Frequency Category A 12 B 25 24 D E 21 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 nul 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 categories are equally likely to be selected. O There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equaly 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
Frequency Frequency
Category
A
12
B
25
24
6
E
21
Report all answers occurate to three decimal ploces. 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 al 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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