You are conducting a multinomial hypothesis test (αα = 0.05) for
the claim that all 5 categories are equally likely to be
selected.
Category | Observed Frequency |
---|---|
A | 20 |
B | 15 |
C | 15 |
D | 12 |
E | 18 |
What is the chi-square test-statistic for this data?
χ2=χ2=
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...
This test statistic leads to a decision to...
As such, the final conclusion is that...
H0: Pi = 1/5, where i = A, B, C, D and E
H1: H0 is not true
n = (20 + 15 + 15 + 12 + 18) = 80
Category | Observed Frequency (fi) | Expected Frequency (ei = n * pi) |
A | 20 | 80 * (1/5) = 16 |
B | 15 | 80 * (1/5) = 16 |
C | 15 | 80 * (1/5) = 16 |
D | 12 | 80 * (1/5) = 16 |
E | 18 | 80 * (1/5) = 16 |
(a)
(Ans)
(b)
d.f = k -1 = 5 - 1 = 4 (Ans)
(c)
p value = 0.66715
(d)
p value is greater than
(e)
We fail to reject the null hypothesis
(f)
There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected
** If the answers do not match please comment
You are conducting a multinomial hypothesis test (αα = 0.05) for the claim that all 5...
You are conducting a multinomial hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category Observed Frequency Expected Frequency Squared Pearson Residual A 21 B 12 C 16 D 8 E 24 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...
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