In th

e last presidential election, before the candidates started

their major campaigns, the percentages of registered voters who favored the

various candidates were as follows.

After the major campaigns began, a random sample of 400 voters

showed that 172 favored the Republican candidate; 164 were in favor of the

Democratic candidate; and 64 favored the Independent candidate. We are

interested in determining whether the proportion of voters who favored the

various candidates had changed.

Compute the test statistic (c²).

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.

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

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.

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 frequency

of seniors is

In an analysis of variance

problem involving 3 treatments and 10 observations per treatment, SSE = 399.6.

The MSE for this situation 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 150 shoppers, 46 used the store's

credit card; 43 used a major credit card; and 61 paid cash. With

 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.

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.

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.

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.

Th w       what is calculate "A". 

In the ANOVA, treatment

refers to