Question

For a Chi-Squared Goodness of Fit Test about a distribution that
has the following characteristics:

Category 1: 20%

Category 2: 30%

Category 3: 10%

Category 4: 15%

Category 5: 25%

complete the table and compute the test statistic.

Round to the fourth as needed.

Categories | Observed Frequency |
Expected Frequency |
---|---|---|

1 | 123 | |

2 | 205 | |

3 | 75 | |

4 | 116 | |

5 | 164 |

Test Statistic =

Answer #1

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For a Chi-Squared Goodness of Fit Test about a distribution that
has the following characteristics:
Category 1: 50%
Category 2: 15%
Category 3: 20%
Category 4: 15%
complete the table.
Round to the fourth as needed.
Categories
Observed
Frequency
Expected
Frequency
1
165
2
42
3
63
4
30

For a Chi-Squared Goodness of Fit Test about a distribution that
has the following characteristics:
Category 1: 50%
Category 2: 15%
Category 3: 20%
Category 4: 15%
complete the table.
Round to the fourth as needed.
Categories
Observed
Frequency
Expected
Frequency
1
214
2
53
3
73
4
42

You are conducting a multinomial Chi-Square Goodness of Fit
hypothesis test for the claim that the 4 categories occur with the
following frequencies:
HoHo : pA=0.1; pB=0.5; pC=0.1; pD=0.3
Complete the table. Report all answers accurate to three decimal
places.
Category
Observed
Frequency
Expected
Frequency
A
17
B
25
C
6
D
16
What is the chi-square test-statistic for this data?
χ2=
What is the P-Value?
P-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=0.4pA0.4; pB=0.25pB0.25; pC=0.25pC0.25; pD=0.1pD0.1
Complete the table. Report all answers accurate to two decimal
places, unless otherwise specified.
Category
Observed
Frequency
Expected
Frequency
A
39
B
18
C
30
D
7
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 =

You are conducting a multinomial Goodness of Fit hypothesis test
for the claim that the 4 categories occur with the following
frequencies:
HoHo :
pA=0.1pA0.1; pB=0.5pB0.5; pC=0.3pC0.3; pD=0.1pD0.1
Complete the table. Report all answers accurate to three decimal
places.
Category
Observed
Frequency
Expected
Frequency
A
23
B
54
C
37
D
8
What is the chi-square test-statistic for this data?
χ2=
What is the P-Value?
P-Value =
For significance level alpha 0.01,
What would be the conclusion of this hypothesis test?
Reject the...

Chi-squared test of
independence and goodness-of-fit.
3. The distributor of Mixed Nut Special claims that the content per
bag is 12%
brazil nuts, 25% peanuts, 20% cashew
nuts, 28% hazlenuts and 15% walnuts.
Several bags were selected and the
total numbers of nuts of each type were
recorded as follows:
Brazil
Peanut
Cashew
Hazlenut
Walnut
Total
Observed
146
315
???
287
170
1130
Expected
???
???
???
???
???
???
Fill in the missing cells marked ???
Calculate the chi...

You are conducting a multinomial Goodness of Fit hypothesis test
for the claim that the 4 categories occur with the following
frequencies:
Ho: pA=0.3; pB=0.1; pC=0.4; pD=0.2
Complete the table. Report all answers accurate to three decimal
places.
Category
Observed
Frequency
Expected
Frequency
A
52
B
34
C
52
D
37
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 0.1,
What would be...

A researcher conducted a goodness-of-fit test by using
categorical data. Her data consists of 4 categories. Her null
hypothesis states that the data occur in each category with the
same frequency. If she found the test statistic χ2=χ2=12.03:
What is the degree of freedom of the χ2χ2 statistic? 3
What is the P-value of the goodness-of-fit test? (Round
to 3 decimals)

Create an experiment which would use a Chi-Squared for Goodness
of Fit test in order to examine a topic of either race or gender in
society.
What is your independent variable?
What is your dependent variable?

1.
The test statistic for goodness of fit has a chi-square
distribution with k - 1 degrees of freedom provided that
the expected frequencies for all categories are
a.
k or more.
b.
10 or more.
c.
5 or more.
d.
2k.
2. The owner of a car wash wants to see if the arrival rate of
cars follows a Poisson distribution. In order to test the
assumption of a Poisson distribution, a random sample of 150
ten-minute intervals was...

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