Exam 15: Chi-Squared Tests
Exam 1: What Is Statistics46 Questions
Exam 2: Graphical Descriptive Techniques 194 Questions
Exam 3: Graphical Descriptive Techniques 2156 Questions
Exam 4: Numerical Descriptive Techniques275 Questions
Exam 5: Data Collection and Sampling84 Questions
Exam 6: Probability240 Questions
Exam 7: Random Variables and Discrete Probability Distributions283 Questions
Exam 8: Continuous Probability Distributions224 Questions
Exam 9: Sampling Distributions156 Questions
Exam 10: Introduction to Estimation154 Questions
Exam 11: Introduction to Hypothesis Testing189 Questions
Exam 12: Inference About a Population153 Questions
Exam 13: Inference About Comparing Two Populations170 Questions
Exam 14: Analysis of Variance157 Questions
Exam 15: Chi-Squared Tests179 Questions
Exam 16: Simple Linear Regression and Correlation304 Questions
Exam 17: Multiple Regression160 Questions
Exam 18: Model Building148 Questions
Exam 19: Nonparametric Statistics175 Questions
Exam 20: Time-Series Analytics and Forecasting225 Questions
Exam 21: Statistical Process Control140 Questions
Exam 22: Decision Analysis123 Questions
Exam 23: Conclusion47 Questions
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Mathematical statisticians have established that if we square the value of z,the test statistic for the test of one proportion p,we produce the χ2 statistic.That is,z2 = χ2.
(True/False)
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Which of the following is not a characteristic of a multinomial experiment?
(Multiple Choice)
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If the observed frequencies are all smaller than the expected frequencies in a goodness-of-fit test,the chi-squared test statistic will be negative.
(True/False)
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If you want to compare two populations that each have two categories,which test(s)can you use?
(Essay)
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If you want to describe a population with more than two categories,which test(s)can you use?
(Essay)
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To determine whether data were drawn from a multinomial distribution with certain proportions,you use a:
(Multiple Choice)
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In a goodness-of-fit test,the null hypothesis states that the data came from a normally distributed population.The researcher estimated the population mean and population standard deviation from a sample of 300 observations.In addition,the researcher used 6 standardized intervals to test for normality.Using a 2.5% level of significance,the critical value for this test is 14.4494.
(True/False)
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Which of the following tests is appropriate for nominal data if the problem objective is to compare two populations and the number of categories exceeds 2?
(Multiple Choice)
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The chi-squared test of a contingency table is based upon:
(Multiple Choice)
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To test for normality,the ____________________ hypothesis specifies probabilities of certain intervals within the normal distribution.
(Short Answer)
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A company surveyed consumers' preference for its dessert and the scores are as follows:
Use 0.05 level of significance and test using the p-value method to see if there is a preference among the three desserts,according to the data.
(Essay)
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Seat Belts
A study was conducted to determine whether the use of seat belts in vehicles depends on whether or not a child was present in the car.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained,and each person was classified according to (1)child present (yes/no)and (2)seat belt usage (worn or not worn)during the accident.The data are shown in the table below.
-{Seat Belts Narrative} At 5% level of significance,what is the critical value of the test statistic?
(Essay)
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A multinomial experiment with two categories is identical to a binomial experiment.
(True/False)
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If we square the value of z (the test statistic in the test of a proportion)we produce the ____________________ statistic.
(Short Answer)
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In a goodness-of-fit test,the null hypothesis states that the data came from a normally distributed population.The researcher estimated the population mean and population standard deviation from a sample of 200 observations.In addition,the researcher used 5 standardized intervals to test for normality.Using a 10% level of significance,the critical value for this test is 4.60517.
(True/False)
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The degrees of freedom for the test statistic in a test of a contingency table is (r − 1)(c − 1)where r is the number of rows in the table,and c is the number of columns.
(True/False)
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A chi-squared test of a contingency table is applied to a contingency table with 4 rows and 4 columns for two qualitative variables.The degrees of freedom for this test must be 9.
(True/False)
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If you reject H0 in a test of a contingency table,you conclude that based on your data:
(Multiple Choice)
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If we want to conduct a one-tail test of a population proportion,we can employ:
(Multiple Choice)
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A large value of a chi-squared test statistic in a test of a contingency table leads you to conclude the two variables are ____________________.
(Short Answer)
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