Exam 15: Chi-Squared Tests
Exam 1: What Is Statistics39 Questions
Exam 2: Graphical and Tabular Descriptive Techniques192 Questions
Exam 3: Numerical Descriptive Techniques215 Questions
Exam 4: Data Collection and Sampling82 Questions
Exam 5: Probability200 Questions
Exam 6: Random Variables and Discrete Probability Distributions158 Questions
Exam 7: Continuous Probability Distributions149 Questions
Exam 8: Sampling Distributions127 Questions
Exam 9: Introduction to Estimation85 Questions
Exam 10: Introduction to Hypothesis Testing178 Questions
Exam 11: Inference About a Population75 Questions
Exam 12: Inference About Comparing Two Populations, Part 183 Questions
Exam 13: Inference About Comparing Two Populations, Part 284 Questions
Exam 14: Analysis of Variance125 Questions
Exam 15: Chi-Squared Tests118 Questions
Exam 16: Simple Linear Regression and Correlation231 Questions
Exam 17: Multiple Regression143 Questions
Exam 18: Review of Statistical Inference182 Questions
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When k = 2 the ____________________ experiment is identical to the ____________________ experiment.
Free
(Short Answer)
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Correct Answer:
multinomial; binomial
binomial; multinomial
If the expected frequencies and the observed frequencies are quite different, you are likely to ____________________ the null hypothesis.
Free
(Short Answer)
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Correct Answer:
reject
The test statistic for the chi-squared test of a contingency table is the same as the test statistic for the goodness-of-fit test.
Free
(True/False)
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Correct Answer:
True
A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic 2 = 13.58. Using the 2 tables, the most accurate statement that can be made about the p-value for this test is that:
(Multiple Choice)
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Explain what is meant by the rule of five and what you should do if this rule is not met.
(Essay)
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To calculate the expected values in a test of a contingency table, you assume that the null hypothesis is true.
(True/False)
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Student Absenteeism: Consider a multinomial experiment involving n = 200 students of a large high school. The attendance department recorded the number of students who were absent during the weekdays. The null hypothesis to be tested is: H0: p1 = 0.10, p2 = 0.25, p3 = 0.30, p4 = 0.20, p5 = 0.15.
-Test the hypothesis at the 5% level of significance with the following frequencies:


(Essay)
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A(n) ____________________ experiment is like a binomial experiment except it contains two or more categories.
(Short Answer)
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The Chairman of a committee has recently circulated pamphlets among the members, attempting to convince them that pension benefits should be the primary issue. A subsequent survey revealed the following breakdown of the members according to the plant at which they worked and the issue that they felt should be supported as the primary one.
Do the data indicate at the 5% significant level that there are differences between the two plants regarding which issue should be the primary one?

(Essay)
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Compute the expected frequencies for x = 0, 1, 2, 3, 4, and 5 by using the binomial probability function or the binomial tables. Combine categories if necessary to satisfy the rule of five.
(Essay)
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The only way the chi-squared test statistic can be zero is if the observed frequencies are all exactly the same as the expected frequencies.
(True/False)
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To address whether two variables are related in a contingency table, the null hypothesis, H0, says that
(Multiple Choice)
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A chi-squared test statistic in a test of a contingency table that is equal to zero means:
(Multiple Choice)
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Which of the following conditions indicate that H0 should be rejected in a goodness-of-fit test?
(Multiple Choice)
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The rule of ____________________ states that in order to conduct the chi-squared goodness-of-fit test, the expected value for each cell must be ____________________ or more.
(Short Answer)
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If the expected frequency of a cell is less than 5, you should increase the significance level.
(True/False)
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A chi-squared test of a contingency table can be used to determine whether two nominal variables are ____________________.
(Short Answer)
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In a goodness-of-fit test, H0 lists specific values for proportions and the test of a contingency table does not.
(True/False)
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A chi-squared test of a contingency table with 4 rows and 5 columns shows that the value of the test statistic is 22.18. Using a chi-squared table, the most accurate statement that can be made is:
(Multiple Choice)
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