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

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

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 At the .05 level of significance, the conclusion of the test is that the

The number of categorical outcomes per trial for a multinomial probability distribution is​

The table below gives beverage preferences for random samples of teens and adults. Teens Adults Total Coffee 50 200 250 Tea 100 150 250 Soft Drink 200 200 400 Other 50 50 100 400 600 1000 We are asked to test for independence between age (i.e., adult and teen) and drink preferences.The test statistic for this test of independence is

The sampling distribution for a goodness of fit test is the

The degrees of freedom for a table with 6 rows and 3 columns is

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 expected frequency for each group is

The table below gives beverage preferences for random samples of teens and adults. Teens Adults Total Coffee 50 200 250 Tea 100 150 250 Soft Drink 200 200 400 Other 50 50 100 400 600 1000 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

The test statistic for goodness of fit has a chi-square distribution with k - 1 degrees of freedom provided that the expected frequencies for all categories are​

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 expected number of freshmen is

A population where each of its element is assigned to one and only one of several classes or categories is a

The test for goodness of fit​

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 p-value is

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

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 The calculated value for the test statistic equals

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

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

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 p-value is

The table below gives beverage preferences for random samples of teens and adults. Teens Adults Total Coffee 50 200 250 Tea 100 150 250 Soft Drink 200 200 400 Other 50 50 100 400 600 1000 We are asked to test for independence between age (i.e., adult and teen) and drink preferences.The expected number of adults who prefer coffee 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. 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 calculated value for the test statistic equals