Testing the goodness of fit between the data and the
Hardy Weinberg equilibrium model generated
expectations.
4.1 In a species of bird, feather color is controlled by
genes at a single locus, with the red feather allele dominant to
the yellow feather allele. A population has 22 red and 14 yellow
birds, with 9 of the red birds having a homozygous dominant
genotype. Is this population in equilibrium?
Calculate p and q from the number of individuals of each
genotype:...
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 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 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 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 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 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...
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 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...