Exam 15: Chi-Squared Tests

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If we want to perform a one-tail test for differences between two populations of nominal data with exactly two categories,we must employ the z-test of p1 − p2.

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Which of the following tests is appropriate for nominal data if the problem objective is to compare two or more populations and the number of categories is at least 2?

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The number of degrees of freedom for a contingency table with r rows and c columns is:

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Sales Volumes A telemarketer makes five calls per day.A sample of 200 days gives the frequencies of sales volumes listed below: Sales Volumes  A telemarketer makes five calls per day.A sample of 200 days gives the frequencies of sales volumes listed below:   Assume the population is binomial distribution with a probability of purchase p equal to .50. -{Sales Volumes Narrative} Should the assumption of a binomial distribution be rejected at the 5% significance level? Assume the population is binomial distribution with a probability of purchase p equal to .50. -{Sales Volumes Narrative} Should the assumption of a binomial distribution be rejected at the 5% significance level?

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If the expected frequencies and the observed frequencies are quite different,you are likely to ____________________ the null hypothesis.

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The expected frequency for the cell in row i and column j is the row i total plus the row j total,all divided by n.

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To calculate the expected values in a test of a contingency table,you assume that the null hypothesis is true.

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The number of degrees of freedom for a contingency table with 4 rows and 8 columns is

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A sports preference poll showed the following data for adults and children: A sports preference poll showed the following data for adults and children:   Use the 5% level of significance and test to determine whether sports preferences depend on age group. Use the 5% level of significance and test to determine whether sports preferences depend on age group.

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The null hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

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Suppose that two shipping companies,A and B,each decide to estimate the annual percentage of shipments on which a $100 or greater claim for loss or damage was filed by sampling their records,and they report the data shown below. Suppose that two shipping companies,A and B,each decide to estimate the annual percentage of shipments on which a $100 or greater claim for loss or damage was filed by sampling their records,and they report the data shown below.   The owner of Company B is hoping to use these data to show that her company is superior to Company A with regard to the percentage of claims filed.Which test would be used to properly analyze the data in this experiment? The owner of Company B is hoping to use these data to show that her company is superior to Company A with regard to the percentage of claims filed.Which test would be used to properly analyze the data in this experiment?

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A left tail area in the chi-squared distribution equals .99.For df = 8,the table value equals:

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How do you find the probabilities needed to obtain expected frequencies for a test of a contingency table?

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If we want to perform a two-tail test of a population proportion p,we can only use the z-test of p.

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The alternative hypothesis in a chi-squared test of a contingency table is that the two nominal variables are ____________________.

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If the expected frequency of a cell is less than 5,you should combine cells of the table.

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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  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} How many degrees of freedom are associated with the proper test in this experiment? ​ ​ -{Seat Belts Narrative} How many degrees of freedom are associated with the proper test in this experiment?

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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.

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Which of the following tests does not use the chi-squared distribution?

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