A contingency table classifies data with respect to two qualitative variables that are each divided into two or more categories.
Indicate whether the statement is true or false
Q. 2Consider a multinomial experiment with 200 trials, and the outcome of each trial can be classified into one of 5 categories. The number of degrees of freedom associated with the chi-square goodness-of-fit test equals:
a. 195
b. 40
c. 5
d. 4
e. 199
Q. 3The sampling distribution of the test statistic for a goodness-of-fit test with k categories is:
a. Student t distribution with k-1 degrees of freedom
b. normal distribution
c. chi-square distribution with k-1 degrees of freedom
d. approximately chi-square distribution with k-1 degrees of freedom
e. approximately chi-square distribution with k degrees of freedom
Q. 4Which statistical technique is appropriate when we describe a single population of qualitative data with two or more categories?
a. The z-test of the difference between two proportions.
b. The chi-square goodness-of-fit test.
c. The chi-square test of a contingency table.
d. The z-test of the difference between two proportions and the chi-square goodness-of-fit test.
e. The z-test of the difference between two proportions and the chi-square test of a contingency table.
Q. 5Of the values for a chi-square test statistic listed below, which one is likely to lead to rejecting the null hypothesis in a goodness-of-fit test?
a. 0
b. 1.3
c. 1.9
d. 40
e. 1.5
Q. 6To determine the critical values in the chi-square distribution table, the process requires the following:
a. degrees of freedom
b. probability of Type I error
c. probability of Type II error
d. degrees of freedom and probability of Type I error
e. degrees of freedom and probability of Type II error
Q. 7If each element in a population is classified into one and only one of several categories, the population is:
a. a normal population
b. a multinomial population
c. a chi-square population
d. a binomial population
e. all of these
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