Question
In: Math
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:
H o : p A = 0.15 ; p B = 0.4 ; p C = 0.3 ; p D = 0.15 Complete the table.
Report all answers accurate to three decimal places.
1)
| category | observed frequency | expected frequency | residual (chi-square) component |
| A | 10 | ||
| B | 25 | ||
| C | 16 | ||
| D | 17 |
2) What is the chi-square test-statistic for this data?
χ 2 =
Significance level alpha is 0.005.
3) What is the p-value?
p-value =
4) What would be the conclusion of this hypothesis test?
A)Reject the Null Hypothesis
B)Fail to reject the Null Hypothesis
Report all answers accurate to three decimal places.
Solutions
milcah answered 1 year agoRelated Solutions
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test
for the claim that the 4 categories occur with the following
frequencies:
HoHo :
pA=0.4pA=0.4; pB=0.25pB=0.25; pC=0.25pC=0.25; pD=0.1pD=0.1
Complete the table. Report all answers accurate to three decimal
places.
Category
Observed
Frequency
Expected
Frequency
A
34
36
B
11
22.5
C
15
22.5
D
30
9
What is the chi-square test-statistic for this data?
χ2=χ2= 57.489
What is the P-Value?
P-Value = 0
For significance level alpha 0.025, what would be the conclusion...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test
for the claim that the 4 categories occur with the following
frequencies:
Ho: pA=0.4; pB=0.1; pC=0.3; pD=0.2
Complete the table. Report all answers accurate to three decimal
places.
Category
Observed
Frequency
Expected
Frequency
A
30
B
4
C
22
D
19
What is the chi-square test-statistic for this data?
χ2=
What is the P-Value?
P-Value =
For significance level alpha 0.005,
What would be the conclusion of this hypothesis test?...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test
for the claim that the 4 categories occur with the following
frequencies:
HoHo :
pA=0.4pA=0.4; pB=0.2pB=0.2; pC=0.1pC=0.1; pD=0.3
CATEGORY
OBSERVED FREQUENCY
EXPECTED FREQUENCY
RESIDUAL
A
41
B
9
C
25
D
47
What is the chi-square test-statistic for this data?
χ2
For significance level alpha 0.025, what is the chi-square
Critical Value?
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test
for the claim that the 4 categories occur with the following
frequencies:
HoHo :
pA=0.3pA=0.3; pB=0.2pB=0.2; pC=0.2pC=0.2; pD=0.3pD=0.3
Complete the table. Report all answers accurate to two decimal
places, unless otherwise specified.
Category
Observed
Frequency
Expected
Frequency
A
43
B
39
C
26
D
32
What is the chi-square test-statistic for this data? (Round to two
decimal places)
χ2=χ2=
What is the P-Value? (Round to four decimal places)
P-Value =
For significance level...
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
You are conducting a multinomial Goodness of Fit hypothesis test
for the claim that the 4 categories occur with the following
frequencies:
HoHo :
pA=0.1pA=0.1; pB=0.4pB=0.4; pC=0.3pC=0.3; pD=0.2pD=0.2
Complete the table. Report all answers accurate to three decimal
places.
Category
Observed
Frequency
Expected
Frequency
A
23
B
43
C
33
D
12
What is the chi-square test-statistic for this data?
χ2=χ2=
What is the P-Value?
P-Value =
For significance level alpha 0.005,
What would be the conclusion of this hypothesis test?
Reject the...
1/You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4...
1/You are conducting a multinomial Goodness of Fit hypothesis
test for the claim that the 4 categories occur with the following
frequencies:
HoHo :
pA=0.25pA=0.25; pB=0.4pB=0.4; pC=0.1pC=0.1; pD=0.25pD=0.25
Complete the table. Report all answers accurate to three decimal
places.
Category
Observed
Frequency
Expected
Frequency
A
20
B
33
C
4
D
26
What is the chi-square test-statistic for this data? (2 decimal
places)
χ2=( )
What is the P-Value? (3 decimal places)
P-Value = ( )
For significance level alpha 0.025,
What would...
You are conducting a Goodness of Fit hypothesis test for the claim that the 4 categories...
You are conducting a Goodness of Fit hypothesis test for the
claim that the 4 categories occur with the following
frequencies:
H0H0 : pA=0.15pA=0.15; pB=0.3pB=0.3; pC=0.15pC=0.15;
pD=0.4pD=0.4
Give all answers as decimals rounded to 3 places after
the decimal point, if necessary.
Complete the table:
Category
Observed
Frequency
Expected
Frequency
A
29
B
56
C
29
D
50
What is the chi-square test-statistic for this
data?
Test Statistic: χ2=χ2=
For a significance of level alpha = 0.005, what is the...
You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with...
You are conducting a multinomial hypothesis test for the claim
that the 4 categories occur with the following frequencies: H o : p
A = 0.25 ; p B = 0.25 ; p C = 0.1 ; p D = 0.4 Category Observed
Frequency A 31 B 26 C 7 D 52 What is the chi-square test-statistic
for this data? χ 2 =
You are conducting a multinomial hypothesis test ( α = 0.05) for the claim that all...
You are conducting a multinomial hypothesis test ( α = 0.05) for
the claim that all 5 categories are equally likely to be
selected.
Category
Observed
Frequency
A
23
B
17
C
13
D
19
E
5
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...
What is the goodness of fit test for the multinomial experiment? Explain it to your classmates...
What is the goodness of fit test for the multinomial experiment?
Explain it to your classmates in detail providing examples.
Remember, use your own words and examples.
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