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
Pearson residuals in your calculations.)
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 =
It may be best to use the =CHIDIST() function in Excel to do
this calculation.
The p-value is...
This test statistic leads to a decision to...
As such, the final conclusion is that...
Observed (Oi ) | Expected ( Ei) | Oi-Ei | (Oi-Ei)^2 | (Oi-Ei)^2/Ei |
21 | 16.2 | 4.8 | 23.04 | 1.4222 |
12 | 16.2 | -4.2 | 17.64 | 1.0889 |
16 | 16.2 | -0.2 | 0.04 | 0.0025 |
8 | 16.2 | -8.2 | 67.24 | 4.1506 |
24 | 16.2 | 7.8 | 60.84 | 3.7556 |
observed frequncies are Oi
21 12 16 8 24
------------------------------------------------------------------
expected frequencies are Ei = (21 + 12 + 16 + 8 + 24)/5 =
16.2
------------------------------------------------------------------
and claiming hypothesis is
null, Ho: all 5 categories are equally likely to be selected.
alternative, H1: all 5 categories are not equally likely to be
selected.
level of significance, alpha = 0.05
from standard normal table, chi square value at right tailed, ᴪ^2
alpha/2 =9.4877
since our test is right tailed,reject Ho when ᴪ^2 o >
9.4877
we use test statistic ᴪ^2 o = Σ(Oi-Ei)^2/Ei
from the table take sum of (Oi-Ei)^2/Ei, we get ᴪ^2 o =
10.4198
critical value
the value of |ᴪ^2 alpha| at los 0.05 with d.f, n - 1 = 5 - 1 = 4 is
9.4877
we got | ᴪ^2| =10.4198 & | ᴪ^2 alpha | =9.4877
make decision
hence value of | ᴪ^2 o | > | ᴪ^2 alpha| and here we reject
Ho
ᴪ^2 p_value =0.0339
----------------------------------------------------------------------------------------
What is the chi-square test-statistic for this data? test
statistic: 10.4198
What are the degrees of freedom for this test? d.f =
4
What is the p-value for this sample? p-value = 0.0339
The p-value is...? less than (or equal to) αα
This test statistic leads to a decision to...? reject the
null
As such, the final conclusion is that...
There is sufficient evidence to warrant rejection of the claim that
all 5 categories are equally likely to be selected.
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.
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...
less than (or equal to)...
Can someone please help me with this question? 13.1 You are conducting a multinomial hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected. a. Complete the table. Category Observed Frequency Expected Frequency A 11 B 9 C 22 D 7 E 11 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. b. What is the chi-square test-statistic for this data? (Report answer accurate to three...
You are conducting a multinomial hypothesis test (α = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category Observed Frequency Expected Frequency A 10 B 5 C 21 D 14 E 8 What is the chi-square test-statistic for this data? 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 = Is the P-Value... A....
please help fast
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 А 13 B 5 с 14 D 15 E 8 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...
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
17
B
11
C
24
D
25
E
25
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 =
We were unable to transcribe this imageWe were...
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You are conducting a multinomial hypothesis test 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 7 B 23 C 11 D 6 E 21 What is the chi-square test-statistic for this data? χ2= Report all answers accurate to three decimal places.
Employers want to know which days of the week employees are
absent in a five-day work week. Most employers would like to
believe that employees are absent equally during the week. Suppose
a random sample of 91 managers were asked on which day of the week
they had the highest number of employee absences. The results were
distributed as in Table. For the population of employees, do the
days for the highest number of absences occur with equal
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