Question

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 |
Squared Pearson Residual |
---|---|---|---|

A | 5 | ||

B | 6 | ||

C | 19 | ||

D | 5 | ||

E | 20 |

*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=

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...

- less than (or equal to) αα
- greater than αα

This test statistic leads to a decision to...

- reject the null
- accept the null
- fail to reject the null
- accept the alternative

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.
- There is not sufficient evidence to warrant rejection of the claim that all 5 categories are equally likely to be selected.
- The sample data support the claim that all 5 categories are equally likely to be selected.
- There is not sufficient sample evidence to support the claim that all 5 categories are equally likely to be selected.

Answer #1

Solution:

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
A
11
B
20
C
20
D
7
E
12
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...

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
13
B
8
C
23
D
24
E
12
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...

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
A
14
B
5
C
6
D
15
E
23
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.)
χ2=χ2=
What are the degrees of freedom for this...

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
A
19
B
9
C
21
D
9
E
7
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.)
χ2=χ2=
What are the degrees of freedom for this...

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
A
25
B
14
C
16
D
17
E
7
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.)
χ2=χ2=
What are the degrees of freedom for this...

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
14
B
19
C
11
D
8
E
21
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 =

You wish to test the following claim (H1H1) at a significance
level of α=0.05
Ho:p=0.71
H1:p≠0.71
You obtain a sample of size n=567 in which there are 394 successful
observations.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
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) αα
greater than αα
This test statistic leads...

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:μ=65.2Ho:μ=65.2
Ha:μ≠65.2Ha:μ≠65.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
14.6
36.1
13.5
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value...

You wish to test the following claim (Ha) at a significance
level of α=0.05
Ho:μ=84.2
Ha:μ<84.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=4 with
mean M=82.7 and a standard deviation of SD=6.1.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value...

You wish to test the following claim (H1) at a significance
level of α=0.10.
Ho:p=0.33
H1:p≠0.33
You obtain a sample of size n=357 in which there are 146 successful
observations.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
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) αα
greater than αα
This test statistic leads...

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