Exam 12: Comparing Multiple Proportions, Test of Independence and Goodness of Fit

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In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College.To see whether or not the proportions have changed, a sample of 300 students from the university was taken.Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.Using α = .05, the conclusion of the test is that the

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Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors.A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 83 Sophomores 68 Juniors 85 Seniors 64 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year.The calculated value for the test statistic equals

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The test for goodness of fit, test of independence, and test of multiple proportions are designed for use with​

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The number of degrees of freedom associated with the chi-square distribution in a test of independence is

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You want to test whether or not the following sample of 30 observations follows a normal distribution.The mean of the sample equals 11.83 and the standard deviation equals 4.53. 2 3 5 5 7 8 8 9 9 10 11 11 12 12 12 12 13 13 13 14 15 15 15 16 16 17 17 18 18 19 The expected frequency in the 3rd interval is

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When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained. Do you support Number of capital punishment? individuals Yes 40 No 60 No Opinion 50 We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.The calculated value for the test statistic equals

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The properties of a multinomial experiment include all of the following except​

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When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained. Do you support Number of capital punishment? individuals Yes 40 No 60 No Opinion 50 We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.The number of degrees of freedom associated with this problem is

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You want to test whether or not the following sample of 30 observations follows a normal distribution.The mean of the sample equals 11.83 and the standard deviation equals 4.53. 2 3 5 5 7 8 8 9 9 10 11 11 12 12 12 12 13 13 13 14 15 15 15 16 16 17 17 18 18 19 The number of intervals or categories used to test the hypothesis for this problem is

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In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College.To see whether or not the proportions have changed, a sample of 300 students from the university was taken.Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.This problem is an example of a

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In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College.To see whether or not the proportions have changed, a sample of 300 students from the university was taken.Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.The hypothesis is to be tested at the 5% level of significance.The critical value from the table equals

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When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained. Do you support Number of capital punishment? individuals Yes 40 No 60 No Opinion 50 We are interested in determining whether or not the opinions of the individuals (as to Yes, No, and No Opinion) are uniformly distributed.The conclusion of the test at the 5% level of significance is that the

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The owner of a car wash wants to see if the arrival rate of cars follows a Poisson distribution.In order to test the assumption of a Poisson distribution, a random sample of 150 ten-minute intervals was taken.You are given the following observed frequencies: Number of Cars Arriving Frequency in a 10-Minute Interval 0 3 1 10 2 15 3 23 4 30 5 24 6 20 7 13 8 8 9 or more 4 150 Calculate mean and use Poisson probabilities.The expected frequency of exactly 3 cars arriving in a 10-minute interval is

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The following table shows the number of individuals in a sample of 300 who indicated they support the new tax proposal. Political Party Support Democrats 100 Republicans 120 Independents 80 We are interested in determining whether or not the opinions of the individuals of the three groups are uniformly distributed.The number of degrees of freedom associated with this problem is

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If there are three or more populations, then it is

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In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College.To see whether or not the proportions have changed, a sample of 300 students from the university was taken.Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.The calculated value for the test statistic equals

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The degrees of freedom for a data table with 12 rows and 12 columns is

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The following table shows the number of individuals in a sample of 300 who indicated they support the new tax proposal. Political Party Support Democrats 100 Republicans 120 Independents 80 We are interested in determining whether or not the opinions of the individuals of the three groups are uniformly distributed.The expected frequency for each group is

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An important application of the chi-square distribution is

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The following table shows the number of individuals in a sample of 300 who indicated they support the new tax proposal. Political Party Support Democrats 100 Republicans 120 Independents 80 We are interested in determining whether or not the opinions of the individuals of the three groups are uniformly distributed.The calculated value for the test statistic equals

(Multiple Choice)
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