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

The following table shows the number of individuals in a sample of 450 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 expected frequency for each group is

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 expected frequency for each group is

A group of 500 individuals were asked to cast their votes regarding a particular issue of the Equal Rights Amendment.The following table shows the results of the votes: ​ At α = .05 using the p-value approach, test to determine if the votes cast were independent of the sex of the individuals.

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 p-value is

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. ​ Test at α = .05 to determine if the selection of a TV station is dependent upon the level of education.Use the p-value approach.

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors.A sample of 400 students taken from this year's student body showed the following number of students in each classification. ​ 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

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 expected frequency in the 3rd interval is

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors.A sample of 400 students taken from this year's student body showed the following number of students in each classification. ​ 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.At a .01 level of significance, the null hypothesis

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

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

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors.A sample of 400 students taken from this year's student body showed the following number of students in each classification. ​ 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 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 hypothesis is to be tested at the 5% level of significance.The critical value from the table equals

An important application of the chi-square distribution is

The personnel department of a large corporation reported sixty resignations during the last year.The following table groups these resignations according to the season during which they occurred: ​ Test to see if the proportion of resignations is uniform over the four seasons. Let α = .05.

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors.A sample of 400 students taken from this year's student body showed the following number of students in each classification. ​ 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

Before the rush began for Christmas shopping, a department store had noted that the percentage of its customers who use the store's credit card, the percentage of those who use a major credit card, and the percentage of those who pay cash are the same.During the Christmas rush, in a sample of 210 shoppers, 66 used the store's credit card; 63 used a major credit card; and 81 paid cash.With α = .05, test to see if the methods of payment have changed during the Christmas rush.

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

The number of degrees of freedom associated with the chi-square distribution in a test of independence is number of _____ minus 1.

Shown below is 3 x 2 table with observed values from a sample of 1500.At the 5% level of significance, test for independence of the row and column factors.

An insurance company has gathered the following information regarding the number of accidents reported per day over a period of 100 days. ​ Using the critical value approach, test to see if the above data have a Poisson distribution.Let α = .05.