1 To appropriately interpret the chisquare goodnessoffit tes

1. To appropriately interpret the chi-square goodness-of-fit test, it is necessary to compare differences _________ of the categorical variable.

outside the levels

across the levels

at each level

between the levels

2. A researcher records the frequency of participants selecting one of four new slogans for an advertising campaign. If it was expected that among 200 people polled there would be no preference for any one slogan, then what was the expected frequency for each slogan.

25 people

50 people

100 people

people

3. To appropriately interpret the chi-square goodness-of-fit test, it is necessary to compare differences

at each level of the categorical variable

across the levels of the categorical variable

within and between expected frequencies

4. A researcher selects a sample of 80 people and records the frequency of participants choosing a low, moderate, or high calorie dessert in a buffet. What are the degrees of freedom for this chi-square goodness-of-fit test?

2

3

79

80

5. One way a researcher can correct for having expected frequencies smaller than five is to increase the levels of the categorical variable such that the number of levels

is equal to the sample size

is greater than four

is less than five

is minimal

6. A researcher conducts a chi-square goodness-of-fit test in which k = 3 and x²= 4.32. What is the decision for this test at a .05 level of significance?

Retain the null hypothesis.

Reject the null hypothesis.

There is not enough information to answer this question.

7. When computing a chi-square goodness-of-fit test, the frequency expected in a given cell should never be less than

the sample size

the number of cells

the frequency observed

five

8. What is the key assumption for a chi-square goodness-of-fit test?

The population is normally distributed.

Observed frequencies are independently recorded in each cell.

Expected frequencies are homogeneous.

all of the above

Solution