Question

**Question 6**

The Chi-Square Test for Independence is typically a ______________.

a. left-tailed test

b. right-tailed test

c. two-tailed test

d. wagging-tailed test

**Question 7**

Which test is the correct one to use when determining if a class distribution of grades follows the normal distribution?

a. Goodness-of-Fit

b. Test of Independence

**Question 8**

Which test is the correct one to use when determining if the numbers picked in the lottery are randomly selected?

a. Goodness-of-fit

b. Test of Independence

**Question 9**

Which test is the correct one to use when determining if the religion of a person is related to his/her political party affiliation?

a. Goodness-of-Fit

b. Test of Independence

**Question 10**

An eight-sided die is rolled 160 times. The number of 1’s, 2’s, 3’s, 4’s, 5’s, 6’s, 7’s & 8’s obtained are 24, 36, 15, 17, 9, 22, 18 & 19, respectively. We are testing to see if the die is fair. What is the test statistic for this problem?

a. 12.7

b. 21.8

c. 9.4

d. 46.3

Answer #1

Question 6:

Correct option:

**b. right-tailed test**

Question 7:

Correct option:

**a. Goodness-of-Fit**

Question 8:

Correct option:

**b. Test of Independence**

Question 9:

Correct option:

**b. Test of Independence**

Question 10:

Correct option:

**b. 21.8**

Explanation:

Expected Frequency = 160/8 = 20

Test Statistic is got as follows:

Observed (O) | Expected (E) | (O - E)^{2}/E |

24 | 20 | 1.8 |

36 | 20 | 12.8 |

15 | 20 | 1.25 |

17 | 20 | 0.45 |

9 | 20 | 6.05 |

22 | 20 | 0.2 |

18 | 20 | 0.2 |

19 | 20 | 0.05 |

Total = = | 21.8 |

Practice finding degrees of freedom for a Chi-square test.
Goodness of fit
categories - 1
Independence
(rows -1)( columns -1)
Homogeneity
categories -1
Variance
n-1
To look up a p-value for Chi-Square test you need to know the
degrees of freedom.
A goodness of fit test has 7 categories. What degrees of freedom
do you use?
A test for homogeneity has 9 categories. What is the degrees of
freedom, d.f.?
A test for independence has 3 rows and 9 columns....

QUESTION 1
The number of degrees of freedom for the appropriate chi-square
distribution in goodness of fit test is
A
n − 1
B
(r-1)(c-1)
C
a chi-square distribution is not used
D
k − 1
QUESTION 2
A goodness of fit test and test of independence is always
conducted as a
A
upper-tail test
B
left-tail test
C
middle test
D
lower-tail test
QUESTION 3
The number of degrees of freedom for the appropriate chi-square
distribution in a test...

A chi-square test for goodness of fit is used to examine the
distribution of individuals across four categories, and a
chi-square test for independence is used to examine the
distribution of individuals across the six categories in a 2×3
matrix of categories. Which test has the larger value for df?
a. The test for goodness of fit
b. Both tests have the same df value.
c. The test for independence
d. The df value depends on the sizes of...

9.4 Explain which of the following is a two-tailed test, a
left-tailed test, or a right-tailed test. a. H0: μ = 12, H1: μ <
12 b. H0: μ ≤ 85, H1: μ > 85 c. H0: μ = 33, H1: μ ≠ 33 Show the
rejection and nonrejection regions for each of these cases by
drawing a sampling distribution curve for the sample mean, assuming
that it is normally distributed.

How is the chi-square independence test similar to the
goodness-of-fit test? How is it different?
What is the difference between McMemar’s Test and the
Chi-squared test for 2 by 2 table.
Question 2
A clinic administers two drugs to two groups of randomly
assigned patients to cure the same disease: 70 patients received
Drug 1 and 80 patients received Drug 2. The following table gives
the information about the number of patients cured and the once not
cured by each...

Which of the following statements is true in the context of a
chi-square goodness-of-fit test?
Select one:
a. The critical value will come from the standard normal table
if the sample size exceeds 30. b. The degrees of freedom for
determining the critical value will be the number of categories
minus 1. c. A very large test statistic will result in the null not
being rejected. d. The null hypothesis will be rejected for a small
value of the test...

Which of the following statements is true in the context of a
chi-square goodness-of-fit test?
Select one:
a. The degrees of freedom for determining the critical value
will be the number of categories minus 1.
b. A very large test statistic will result in the null not being
rejected.
c. The null hypothesis will be rejected for a small value of the
test statistic.
d. The critical value will come from the standard normal table
if the sample size exceeds...

We were told this question uses the Chi Square test for either
Goodness of Fit or Independence in the following Question:
According to the American Automobile Association, 32 million
Americans travel over the Thanksgiving holiday. To determine
whether to stay open or close, a national restaurant chain surveyed
customers at 4 national locations on their Thanksgiving travel
plans. At the 5% significance level, test the claim that the
proportions of Americans who will travel over Thanksgiving are
equal.
Philadelphia Will...

The P-value for a chi-square test is always one-tailed. This is
true because of all of the following reasons, EXCEPT:
Group of answer choices
Observed data that is either higher or lower than the null
hypothesis predicts will result in a positive chi-square value.
Only a large positive value of chi-square provides
stronger evidence to conclude HA.
A chi-square distribution is skewed.
The chi-square statistic is always positive, unlike a z
or t statistic which can be ether positive or...

Suppose you are interested in whether the distribution of
religious affiliations of members of the House of Representatives
is the same as the distribution of religious affiliation in the
United States. The following table contains data for religious
affiliation:
Religion
Proportion in US1
Number of Representatives2
Protestant
46.5%
220
Catholic
20.8%
140
Other Christian
3.3%
36
Jewish
1.9%
19
Other/None
27.4%
20
TOTAL
100.0%
435
1 data from
http://www.pewforum.org/2015/05/12/americas-changing-religious-landscape/
2 data from
https://www.washingtonpost.com/graphics/politics/114th-house-religions/
1. What type of hypothesis test would...

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