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

When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was obtained. 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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Question 1

Correct Answer:

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The number of emergency calls per day at a hospital over a period of 120 days is shown below. Use α = .05 and the p-value approach to see if the above data have a Poisson distribution.

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Question 2

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χ² = 4.72; p-value is greater than .1; do not reject H₀; no evidence that the distribution is not Poisson.

Shown below is a 2 x 3 table with observed values from a sample of 500.At α = .05 using the critical value approach, test for independence of the row and column factors.

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Question 3

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χ² = 4.44 < 5.991; no evidence that row and column factors are not independent.

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. At the 5% level of significance, the conclusion of the test is that the

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Question 4

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 expected frequency for the Business College is

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Question 5

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. The calculated value for the test statistic equals

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Question 6

The degrees of freedom for a data table with 10 rows and 10 columns is

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Question 7

From a poll of 800 television viewers, the following data have been accumulated as to their levels of education and their preference of television stations.We are interested in determining if the selection of a TV station is independent of the level of education. a. State the null and alternative hypotheses. b. Show the table of the expected frequencies. c. Compute the test statistic. d. The null hypothesis is to be tested at the 10% level of significance.Determine the critical value for this test. e. Determine the p-value and perform the test.

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Question 8

The table below gives beverage preferences for random samples of teens and adults. We are asked to test for independence between age (i.e., adult and teen) and drink preferences.With a .05 level of significance, the critical value for the test is

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Question 9

A major automobile manufacturer claimed that the frequencies of repairs on all five models of its cars are the same.A sample of 200 repair services showed the following frequencies on the various makes of cars. At α = .01, test the manufacturer's claim.

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Question 10

A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as a _____ test.

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Question 11

If there are three or more populations, then it is

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Question 12

The following table shows the number of individuals in a sample of 300 who indicated they support the new tax proposal. 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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Question 13

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: The p-value is

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Question 14

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. The p-value is

(Multiple Choice)

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Question 15

The test for goodness of fit

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Question 16

The following table shows the number of individuals in a sample of 300 who indicated they support the new tax proposal. 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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Question 17

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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Question 18

Marascuilo procedure is used to test for a significant difference between pairs of population

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Question 19

The degrees of freedom for a data table with 10 rows and 11 columns is

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Question 20

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The number of emergency calls per day at a hospital over a period of 120 days is shown below. Use α = .05 and the p-value approach to see if the above data have a Poisson distribution.

Shown below is a 2 x 3 table with observed values from a sample of 500.At α = .05 using the critical value approach, test for independence of the row and column factors.

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. At the 5% level of significance, the conclusion of the test is that the

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. The calculated value for the test statistic equals

The degrees of freedom for a data table with 10 rows and 10 columns is

The table below gives beverage preferences for random samples of teens and adults. We are asked to test for independence between age (i.e., adult and teen) and drink preferences.With a .05 level of significance, the critical value for the test is

A major automobile manufacturer claimed that the frequencies of repairs on all five models of its cars are the same.A sample of 200 repair services showed the following frequencies on the various makes of cars. At α = .01, test the manufacturer's claim.

A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as a _____ test.

If there are three or more populations, then it is

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: The p-value is

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. The p-value is

The test for goodness of fit

The following table shows the number of individuals in a sample of 300 who indicated they support the new tax proposal. 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

Marascuilo procedure is used to test for a significant difference between pairs of population

The degrees of freedom for a data table with 10 rows and 11 columns is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

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

The number of emergency calls per day at a hospital over a period of 120 days is shown below. ​ Use α = .05 and the p-value approach to see if the above data have a Poisson distribution.

Shown below is a 2 x 3 table with observed values from a sample of 500.At α = .05 using the critical value approach, test for independence of the row and column factors.

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. ​ At the 5% level of significance, the conclusion of the test is that the

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. ​ The calculated value for the test statistic equals

The degrees of freedom for a data table with 10 rows and 10 columns is

The table below gives beverage preferences for random samples of teens and adults. ​ We are asked to test for independence between age (i.e., adult and teen) and drink preferences.With a .05 level of significance, the critical value for the test is

A major automobile manufacturer claimed that the frequencies of repairs on all five models of its cars are the same.A sample of 200 repair services showed the following frequencies on the various makes of cars. ​ At α = .01, test the manufacturer's claim.

A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as a _____ test.

If there are three or more populations, then it is

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: The p-value is

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. ​ The p-value is

The test for goodness of fit​

Marascuilo procedure is used to test for a significant difference between pairs of population

The degrees of freedom for a data table with 10 rows and 11 columns is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Filters

The number of emergency calls per day at a hospital over a period of 120 days is shown below. Use α = .05 and the p-value approach to see if the above data have a Poisson distribution.

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. At the 5% level of significance, the conclusion of the test is that the

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. The calculated value for the test statistic equals

The table below gives beverage preferences for random samples of teens and adults. We are asked to test for independence between age (i.e., adult and teen) and drink preferences.With a .05 level of significance, the critical value for the test is

A major automobile manufacturer claimed that the frequencies of repairs on all five models of its cars are the same.A sample of 200 repair services showed the following frequencies on the various makes of cars. At α = .01, test the manufacturer's claim.

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. The p-value is

The test for goodness of fit