Exam 13: Goodness-Of-Fit Tests and Contingency Analysis
Exam 1: The Where,Why,and How of Data Collection167 Questions
Exam 2: Graphs,Charts and Tablesdescribing Your Data139 Questions
Exam 3: Describing Data Using Numerical Measures138 Questions
Exam 4: Introduction to Probability125 Questions
Exam 5: Discrete Probability Distributions161 Questions
Exam 6: Introduction to Continuous Probability Distributions122 Questions
Exam 7: Introduction to Sampling Distributions136 Questions
Exam 8: Estimating Single Population Parameters174 Questions
Exam 9: Introduction to Hypothesis Testing183 Questions
Exam 10: Estimation and Hypothesis Testing for Two Population Parameters121 Questions
Exam 11: Hypothesis Tests and Estimation for Population Variances69 Questions
Exam 12: Analysis of Variance162 Questions
Exam 13: Goodness-Of-Fit Tests and Contingency Analysis105 Questions
Exam 14: Introduction to Linear Regression and Correlation Analysis139 Questions
Exam 15: Multiple Regression Analysis and Model Building152 Questions
Exam 16: Analyzing and Forecasting Time-Series Data133 Questions
Exam 17: Introduction to Nonparametric Statistics103 Questions
Exam 18: Introduction to Quality and Statistical Process Control43 Questions
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The degrees of freedom for a contingency table with 11 rows and 10 columns is:
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(Multiple Choice)
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D
A study published in the American Journal of Public Health was conducted to determine whether the use of seat belts in motor vehicles depends on ethnic status in San Diego County.A sample of 792 children treated for injuries sustained from motor vehicle accidents was obtained,and each child was classified according to (1)ethnic status (Hispanic or non-Hispanic)and (2)seat belt usage (worn or not worn)during the accident.The number of children in each category is given in the table below.
Referring to these data,which test would be used to properly analyze the data in this experiment?

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(Multiple Choice)
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Correct Answer:
A
A survey was recently conducted in which males and females were asked whether they owned a laptop personal computer.The following data were observed:
Given this information,if an alpha level of .05 is used,the critical value for testing whether the two variables are independent is x2 = 3.8415.

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A contingency table and a cross-tabulation table are two separate things and should not be used for the same purpose.
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A business with 5 copy machines keeps track of how many copy machines need service on a given day.It believes this is binomially distributed with a probability of p = 0.2 of each machine needing service on any given day.It has collected the following based on a random sample of 100 days.
Given this information,assuming that all expected values are sufficiently large to use the classes as shown above,the critical value for testing the hypothesis will be based on 5 degrees of freedom.

(True/False)
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A chi-square test for goodness-of-fit is used to test whether or not there are any preferences among 3 brands of peas.If the study uses a sample of n = 60 subjects,then the expected frequency for each category would be:
(Multiple Choice)
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When testing for independence in a contingency table with 3 rows and 4 columns,there are ________ degrees of freedom.
(Multiple Choice)
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If the null hypothesis is not rejected,you do not need to worry when the expected cell frequencies drop below 5.0
(True/False)
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A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday).It has collected the following data based on a random sample of 100 days.
Based on this information how many degrees for freedom are involved in this goodness of fit test?

(Multiple Choice)
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We are interested in determining whether the opinions of the individuals on gun control (as to Yes,No,and No Opinion)are uniformly distributed. A sample of 150 was taken and the following data were obtained.
The conclusion of the test with alpha = 0.05 is that the views of people on gun control are:

(Multiple Choice)
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In performing chi-square contingency analysis,to overcome a small expected cell frequency problem,we:
(Multiple Choice)
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In a contingency analysis,the greater the difference between the actual and the expected frequencies,the more likely:
(Multiple Choice)
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A cell phone company wants to determine if the use of text messaging is independent of age.The following data has been collected from a random sample of customers.
Using this data,if we wish to test whether the preferred news source is independent of age using a 0.05 level of significance,the critical value is 5.9915.

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If the test statistic for a chi-square goodness-of-fit test is larger than the critical value,the null hypothesis should be rejected.
(True/False)
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A survey was recently conducted in which males and females were asked whether they owned a laptop personal computer.The following data were observed:
Given this information,if having a laptop is independent of gender,the expected number of males with laptops in this survey is 150.

(True/False)
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It is believed that the number of drivers who are ticketed for speeding on a particular stretch of highway is a Poisson distribution with a mean of 3.5 per hour.A random sample of 100 hours is selected with the following results:
Given this information,it can be seen that the cells will need to be combined since the actual number of occurrences at some levels of x is less than 5.

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A goodness-of-fit test can decide whether a set of data comes from a specific hypothesized distribution.
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In a goodness-of-fit test about a population distribution,if one or more parameters are left unspecified in H0,they must be estimated from the sample data.This will reduce the degrees of freedom by ________ for each estimated parameter.
(Multiple Choice)
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If the calculated chi-square statistic is large,this is evidence to suggest the fit of the actual data to the hypothesized distribution is not good,and H0 should be rejected.
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The goodness-of-fit test is essentially determining if the test statistic is significantly larger than zero.
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