Fundamentals Of Business Statistics International Edition 6th Edition By Dennis – Test Bank

CHAPTER 11—COMPARISONS INVOLVING PROPORTIONS AND A TEST OF INDEPENDENCE

MULTIPLE CHOICE

1. If we are interested in testing whether the proportion of items in population 1 is larger than the proportion of items in population 2, the
a. null hypothesis should state P1 – P2 < 0
b. null hypothesis should state P1 – P2  0
c. alternative hypothesis should state P1 – P2 > 0
d. alternative hypothesis should state P1 – P2 < 0

ANS: C PTS: 1 TOP: Hypothesis Set Up

2. The sampling distribution of is approximated by a
a. normal distribution
b. t-distribution with n1 + n2 degrees of freedom
c. t-distribution with n1 + n2 – 1 degrees of freedom
d. t-distribution with n1 + n2 + 2 degrees of freedom

ANS: A PTS: 1 TOP: Inference – Proportions

3. A population where each element of the population is assigned to one and only one of several classes or categories is a
a. multinomial population
b. Poisson population
c. normal population
d. None of these alternatives is correct.

ANS: A PTS: 1 TOP: Goodness of Fit and Independence

4. The sampling distribution for a goodness of fit test is the
a. Poisson distribution
b. t distribution
c. normal distribution
d. chi-square distribution

ANS: D PTS: 1 TOP: Goodness of Fit and Independence

5. A goodness of fit test is always conducted as a
a. lower-tail test
b. upper-tail test
c. middle test
d. None of these alternatives is correct.

ANS: B PTS: 1 TOP: Goodness of Fit and Independence

6. An important application of the chi-square distribution is
a. making inferences about a single population variance
b. testing for goodness of fit
c. testing for the independence of two variables
d. All of these alternatives are correct.

ANS: D PTS: 1 TOP: Goodness of Fit and Independence

7. The number of degrees of freedom for the appropriate chi-square distribution in a test of independence is
a. n-1
b. K-1
c. number of rows minus 1 times number of columns minus 1
d. a chi-square distribution is not used

ANS: C PTS: 1 TOP: Goodness of Fit and Independence

8. In order not to violate the requirements necessary to use the chi-square distribution, each expected frequency in a goodness of fit test must be
a. at least 5
b. at least 10
c. no more than 5
d. less than 2

ANS: A PTS: 1 TOP: Goodness of Fit and Independence

9. A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as a
a. contingency test
b. probability test
c. goodness of fit test
d. None of these alternatives is correct.

ANS: C PTS: 1 TOP: Goodness of Fit and Independence

10. The degrees of freedom for a contingency table with 12 rows and 12 columns is
a. 144
b. 121
c. 12
d. 120

ANS: B PTS: 1 TOP: Goodness of Fit and Independence