Question

Give the rejection region for a chi-square test of specified
probabilities if the experiment involves *k* categories in
these cases. (Round your answers to three decimal places.)

(a) *k* = 8, *α* = 0.05

Χ^{2} >

(b) *k* = 10, *α* = 0.01

Χ^{2} >

(c) *k* = 16, *α* = 0.005

Χ^{2} >

(d) *k* = 3, *α* = 0.01

Χ^{2} >

Answer #1

Give the rejection region for a chi-square test of specified
probabilities if the experiment involves k categories in
these cases. (Round your answers to three decimal places.)
(a) k = 6, α =
0.05
Χ2 >
(b) k = 13, α = 0.01
Χ2 >
(c) k = 17, α =
0.005
Χ2 >
(d) k = 3, α = 0.01
Χ2 >

When conducting a hypothesis test with chi-square analysis, the
rejection region in a chi-square distribution is always in the
upper or right tail.
Group of answer choices
True
False

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 =

Suppose that χ2 follows a chi-square distribution with 6
degrees of freedom. Compute P(4≤χ2≤10). Round your answer to at
least three decimal places.
Suppose again that χ2 follows a chi-square distribution with 6
degrees of freedom. Find k such that P(χ2≥k)=0.05. Round your
answer to at least two decimal places.
Find the median of the chi-square distribution with 6 degrees
of freedom. Round your answer to at least two decimal places.
P(4≤χ2≤10)= ?
k=?
Median=?

The poll investigated the respondents' party affiliations based
on what region they lived in. Test an appropriate hypothesis about
this table, and state your conclusions. (Assume a significance
level of alpha equals 0.05)
D R I
West 32 13 11
North 18 31 15
South 30 25 16
Compute the chi-square statistic.
chi squared χ2=?
(Round to two decimal places as needed.)
Determine the critical value.
The critical value is
___.
(Round to three decimal places as needed.)
Find the...

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
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 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 =

Consider the following. n = 22, x = 126.4, s2 = 21.7, Ha: σ2
> 15, α = 0.05 Test H0: σ2 = σ02 versus the given alternate
hypothesis.
State the test statistic. (Round your answer to two decimal
places.)
χ2 =
State the rejection region. (If the test is one-tailed, enter
NONE for the unused region. Round your answers to two decimal
places.)
χ2 >
χ2 <
Construct a (1 − α)100% confidence interval for σ2
using the χ2...

Consider the following.
n = 22, x = 126.2,
s2 = 21.5,
Ha: σ2 > 15,
α = 0.05
Test H0: σ2 =
σ02 versus the given alternate
hypothesis.
State the test statistic. (Round your answer to two decimal
places.)
χ2 =
State the rejection region. (If the test is one-tailed, enter
NONE for the unused region. Round your answers to two decimal
places.)
χ2
>
χ2
<
Construct a (1 − α)100% confidence interval for σ2
using the χ2...

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