Question

1. The larger the calculated χ² value in a goodness-of-fit test, the _______ likely the data fits the hypothesized distribution.

2.

If the observed frequencies are exactly equal to the expected frequencies in a chi-square test, the value of χ² is:

a. close to 1

b. a large positive value

c. 0

d. a very small positive value

3. A chi-square statistic can be used to analyze contingency tables:

True or False

4. The chi-square statistic for a 6x4 contingency table will have ____ degrees of freedom.

5. The chi-square test can be used to determine if there is a significant difference between two sample proportions:

True or False

6. Which of the following null hypotheses cannot be tested with a chi-squared test?

a. H_o: the two variables defining the contingency table are independent.

b. H_o: the population distribution is a normal distribution.

c. H_o: the true category proportions are the same for all of the population.

d. H_o: the true population means are the same for all of the populations

7. To test the null hypothesis that a population proportion is p = 0.40 using a sample size of n = 12, we use the ____________ distribution.

a. t

b. normal

c. binomial

d. chi-square

8. The null hypothesis that two processes produce the same proportion of defectives can be written:

a. p = 0

b. x₁/n₁ = x₂/n₂

c. p₁ - p₂ = 0

d. x/n = 0

9. The chi-square distribution is symmetrical:

True or False

10. The test statistics for a small-sample test concerning proportion is the ___________. [hint: use all lowercase letters]

Answer 1

1. The larger the calculated χ² value in a goodness-of-fit test, the less likely the data fits the hypothesized distribution.

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2. If the observed frequencies are exactly equal to the expected frequencies in a chi-square test, the value of χ² is:

Answer: c. 0

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3. A chi-square statistic can be used to analyze contingency tables:

Answer : True

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4. The chi-square statistic for a 6x4 contingency table will have ____ degrees of freedom.

Answer : df = (6-1)*(4-1) = 15

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5. The chi-square test can be used to determine if there is a significant difference between two sample proportions:

Answer : False

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6. Which of the following null hypotheses cannot be tested with a chi-squared test?

Answer : d. H_o: the true population means are the same for all of the populations

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7. To test the null hypothesis that a population proportion is p = 0.40 using a sample size of n = 12, we use the ____________ distribution.

Answer : b. normal

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8. The null hypothesis that two processes produce the same proportion of defectives can be written:

Answer : c. p₁ - p₂ = 0

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9. The chi-square distribution is symmetrical:

Answer : False

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10. The test statistics for a small-sample test concerning proportion is the z-statistic.