Question

From the given information in each case below, state what you
know about the *P*-value for a chi-square test and give the
conclusion for a significance level of *α* = 0.01. Use Table
8 in Appendix A. (Enter your answers to three decimal places.)

(a) *χ*^{2} = 4.97, df =
2

< *P*-value <

Conclusion:

Reject *H*_{0}Fail to reject
*H*_{0}

(b) *χ*^{2} = 12.16, df =
6

< *P*-value <

Conclusion:

Reject *H*_{0}Fail to reject
*H*_{0}

(c) *χ*^{2} = 20.91, df =
9

< *P*-value <

Conclusion:

Reject *H*_{0}Fail to reject
*H*_{0}

(d) *χ*^{2} = 18.73, df =
4

*P*-value ? > = <

Conclusion:

Reject *H*_{0}Fail to reject
*H*_{0}

(e) *χ*^{2} = 6.24, df =
3

*P*-value ? > < =

Conclusion:

Reject *H*_{0}Fail to reject
*H*_{0}

Answer #1

**Solution:**

We have to use here the chi-square table to find the upper and lower limit of the p-value. The decision rule is if the p-value is less than the significance level, we reject H0 else we fail to reject.

(a) *χ*^{2} = 4.97, df =
2

**Answer:
**

Conclusion:

**Fail to reject H_{0}**

(b) *χ*^{2} = 12.16, df =
6

**Answer:
**

Conclusion:

**Fail to reject H_{0}**

(c) *χ*^{2} = 20.91, df =
9

**Answer:
**

Conclusion:

**Fail to reject H_{0}**

(d) *χ*^{2} = 18.73, df =
4

**Answer:
**

Conclusion:

**Reject H_{0}**

(e) *χ*^{2} = 6.24, df =
3

**Answer:
**

Conclusion:

**Fail to reject H_{0}**

From the given information in each case below, state what you
know about the P-value for a chi-square test and give the
conclusion for a significance level of α = 0.01. Use Table
8 in Appendix A. (Enter your answers to three decimal places.)
(a) χ2 = 4.96, df =
2
__ < P-value < __
(b) χ2 = 12.2, df =
6
__ < P-value < __
(c) χ2 = 21.62, df =
9
__ < P-value < __
(d) χ2 = 19.2,...

From the given information in each case below, state what you
know about the P-value for a chi-square test and give the
conclusion for a significance level of α = 0.01. Use Table
8 in Appendix A. (Enter your answers to three decimal places.)
(a) χ2 = 4.96, df =
2
__ < P-value < __
(b) χ2 = 12.2, df =
6
__< P-value < __
(c) χ2 = 21.62, df =
9
__ < P-value <__
(d) χ2 = 19.2, df =...

From the given information in each case below, state what you
know about the P-value for a chi-square test and give the
conclusion for a significance level of α = 0.01. Use Table 8 in
Appendix A. (Enter your answers to three decimal places.)
(a) χ2 = 7.4, df = 2
< P-value <
(b) χ2 = 12.91, df = 6
< P-value <
c) χ2 = 17.85, df = 9
< P-value <
(d) χ2 = 21.44, df =...

From the given information in each case below, state what you
know about the P-value for a chi-square test and give the
conclusion for a significance level of α = 0.01. (Enter your
answers to three decimal places.)
a) χ2 = 7.42, df = 2
_____ < P-value < ______
b) χ2 = 13.04, df = 6 _____ <
P-value < ______
c) χ2 = 17.89, df = 9
_____ < P-value < ______
d) χ2 = 20.22, df = 4 P-value
< _____...

From the given information in each case below, state what you
know about the P-value for a chi-square test and give the
conclusion for a significance level of ? = 0.01. Use Table
8 in Appendix A.
(a) X2 = 5, df = 2
< P-value <
Conclusion:
Reject H0
Fail to reject
H0
(b) X2 = 12.1, df = 6
< P-value <
Conclusion:
Reject H0
Fail to reject
H0
(c) X2 = 21.24, df = 9
< P-value...

From the given information in each case below, state what you
know about the P-value for a chi-square test and give the
conclusion for a significance level of α = 0.01. Use Table
8 in Appendix A.
(a) X2 = 7.45, df = 2
______ P-value ____
(b) X2 = 12.91, df = 6
________ < P-value _____
(c) X2 = 17.69, df = 9
______ < P-value _____
(d) X2 = 19.53, df = 4
P-value -________
(e) X2...

Pairs of P-values and significance levels, α,
are given. For each pair, state whether the observed
P-value would lead to rejection of H0
at the given significance level.
(a) P-value = 0.062, α
= 0.05
reject H0
do not reject H0
(b) P-value = 0.002, α =
0.001
reject H0
do not reject H0
(c) P-value = 0.492, α =
0.05
reject H0
do not reject H0
(d) P-value = 0.062, α =
0.10
reject H0
do not reject H0
(e) P-value = 0.041, α...

Anela is a computer scientist who is formulating a large and
complicated program for a type of data processing. She has three
ways of storing and retrieving data: cloud storage, disk, or hard
drive. As an experiment, she sets up her program in three different
ways: one using cloud storage, one using disks, and the other using
a hard drive. Then she makes four test runs of this type of data
processing on each program. The time required to execute...

In each part, we have given the significance level and the
P-value for a hypothesis test. For each case determine if the null
hypothesis should be rejected. Write "reject" or "do not reject"
(without quotations).
(a) α=0.01,P=0.06α
answer:
(b) α=0.07,P=0.06α
answer:
(c) α=0.06,P=0.06
answer:

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...

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