Section 1 T F 1. In a chi-square goodness-of-fit test, observed frequencies are
ID: 3275513 • Letter: S
Question
Section 1
T F 1. In a chi-square goodness-of-fit test, observed frequencies are also called expected frequencies.
T F 2. The number of degrees of freedom in a chi-square goodness-of-fit test is the number of categories minus the number of parameters estimated.
T F 3. A chi-square goodness-of-fit test is being used to test the goodness-of-fit of a uniform distribution for a dataset with "k" categories. This test has (k-3) degrees of freedom.
T F 4. The decision rule in a chi-square goodness-of-fit test is to reject the null hypothesis if the computed chi-square is greater than the table chi-square.
T F 5 A chi-square goodness-of-fit test to determine if the observed frequencies in seven categories are uniformly distributed has six degrees of freedom.
T F 6. A chi-square goodness-of-fit test to determine if the observed frequencies in ten categories are Poisson distributed has nine degrees of freedom.
T F 7. In a chi-square test of independence the contingency table has 4 rows and 3 columns. The number of degrees of freedom for this test is 7.
T F 8. The null hypothesis for a chi-square test of independence is that the two variables are not related.
T F 9 In a chi-square test of independence the contingency table has 4 rows and 3 columns. The number of degrees of freedom for this test is 6.
T F 10 The null hypothesis in a chi-square goodness-of-fit test is that the observed distribution is the same as the expected distribution.
Explanation / Answer
1) Observed frequencies are the actual frequencies. So the observed and the Expected frequencies are different. The given statement is False. (Ans).
2) The given statement is True. (Ans).
3) Since the number of parameters in a Uniform distribution can't be 3, so the given statement is False. (Ans).
4) The given statement is True. (Ans).
5) The given statement is True. (Ans).
6) The given statement is True. (Ans).
7) In this case d.f. should be = (4-1) * (3-1) = 6. Do, the given statement is False. (Ans).
8) The given statement is True. (Ans).
9) The given statement is True. (Ans).
10) The given statement is True. (Ans).
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