Exam 14: Chi-Square Applications

A question has these possible choices-excellent, very good, good, fair and unsatisfactory. How many degrees of freedom are there, using the goodness-of-fit test to the sample results?

The educational level and the social activity of a sample of executives follow. Using the data from this Mega stat printout, you determine:

i. The alternative hypothesis states that there is a difference between the observed frequencies and the expected frequencies in a goodness-of-fit test. ii. The number of degrees of freedom appropriate for the chi-square goodness-of-fit test is the number of categories minus 1. iii. If there are extremely large differences between observed and expected frequencies the correct decision is to reject H₀.

The personnel manager is concerned about absenteeism. She decides to sample the records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis to be tested is: Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are: How many degrees of freedom are there?

A survey of the opinions of property owners about a street widening project was taken to determine whether the resulting opinion was related to the distance of front footage. A randomly selected sample of 100 property owners was contacted and the results are shown below. How many degrees of freedom are there?

In a contingency table suppose that we are comparing males versus females against five glades: A, B, C, D and F. The degrees of freedom will be:

A student asked a statistics professor if grades were marked "on the curve." The professor decided to give the student a project to determine if last year's statistics grades were normally distributed. The professor told the student that last year's mean mark was 70 with a standard deviation of 10 and to use the following results. What is the alternative hypothesis?

Recently, students in a marketing research class were interested in the driving behavior of students. Specifically, the marketing students were interested if exceeding the speed limit was related to gender. They collected the following responses from 100 randomly selected students: The appropriate test to analyze the relationship between gender and speeding is:

The chi-square distribution can assume:

In a chi-square goodness-of-fit-test, the larger the difference between the set of expected frequencies and the set of observed frequencies:

Recently, students in a marketing research class were interested in the driving behavior of students. Specifically, the marketing students were interested if exceeding the speed limit was related to gender. They collected the following responses from 100 randomly selected students: What is the value of the test statistic?

For any chi-square goodness-of-fit problem, the number of degrees of freedom is found by:

A school is trying to determine if there is a relationship between gender and which of its 3 programs that students enroll in. It was observed that 20 females enrolled in accounting, 15 in finance and 25 in marketing. For males, 10 enrolled in accounting, 20 enrolled in finance and 15 enrolled in marketing. What is the chi square value?

A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20 - 29, 30 - 39 and 40 or over). How many degrees of freedom are there?

The personnel manager is concerned about absenteeism. She decides to sample the records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis to be tested is: Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are: Using the Goodness of Fit Test above, what can you state about the observed absences?

A distributor of personal computers has five locations in the city. The sales in units for the first quarter of the year were as follows: What is the critical value at the 0.01 level of risk?

i. For a contingency table, the expected frequency for a cell is found by dividing the row total by the grand total. ii. The claim that "male and female University of Toledo students prefer different parking lots on campus" is an example of a chi-square null hypothesis. iii. For contingency table analysis using the chi-square test, multiplying the number of rows minus 1 by the number of columns minus 1 will give you the degrees of freedom.

The chi-square has:

Six people have declared their intentions to run for a trustee seat in the next local election. A political poll is conducted during the campaign among 1,020 voters to determine if there is any clear preference among the voters. The responses are shown below. What is the expected frequency for each candidate?

The educational level and the social activity of a sample of executives follow. Using the data from this Mega stat printout, you determine: