Exam 15: Chi-Squared Tests

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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.

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Which of the following is not a characteristic of a multinomial experiment?

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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.

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If you want to compare two populations that each have two categories,which test(s)can you use?

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If you want to describe a population with more than two categories,which test(s)can you use?

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To determine whether data were drawn from a multinomial distribution with certain proportions,you use a:

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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.

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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?

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The chi-squared test of a contingency table is based upon:

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To test for normality,the ____________________ hypothesis specifies probabilities of certain intervals within the normal distribution.

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A company surveyed consumers' preference for its dessert and the scores are as follows: 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. 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.

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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} At 5% level of significance,what is the critical value of the test statistic? ​ ​ -{Seat Belts Narrative} At 5% level of significance,what is the critical value of the test statistic?

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A multinomial experiment with two categories is identical to a binomial experiment.

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If we square the value of z (the test statistic in the test of a proportion)we produce the ____________________ statistic.

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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.

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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.

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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.

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If you reject H0 in a test of a contingency table,you conclude that based on your data:

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If we want to conduct a one-tail test of a population proportion,we can employ:

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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 ____________________.

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