Exam 15: Chi-Square Applications

In the goodness-of-fit test,the chi-square distribution is used to determine how well an observed distribution of observations "fits" an expected distribution of observations.

Two chi-square distributions were plotted on the same chart.One distribution was for 3 degrees of freedom and the other was for 12 degrees of freedom.Which distribution would tend to approach a normal distribution?

To analyze data cross-classified in a contingency table,how are the degrees of freedom found?

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. What is the critical value at the 5% level of significance?

When conducting a hypothesis test with chi-square analysis,the null hypothesis is rejected when the differences between the expected and observed frequencies are relatively large.

The chi-square distribution is positively skewed.

A recent study of the relationship between social activity and education showed the following results. The appropriate test statistic for the analysis is a:

For a contingency table,the expected frequency for a cell is found by dividing the row total by the grand total.

The chi-square goodness-of-fit test is appropriate for nominal and ordinal levels of data.

When conducting a hypothesis test with chi-square analysis,the rejection region is in the lower or left tail of a chi-square distribution.

A 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?

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 social activity.They collected the following responses from 100 randomly selected students: The degrees of freedom for the analysis is:

A recent study of the relationship between social activity and education showed the following results. Based on the analysis,what can be concluded?

What is our decision regarding the differences between the observed and expected frequencies if the critical value of chi-square is 9.488 and the computed value is 6.079?

What is the critical value at the 0.05 level of significance for a goodness-of-fit test if there are six categories?

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 social activity.They collected the following responses from 100 randomly selected students: What is the value of the test statistic?

If an employee wanted to investigate the relationship between performance rating and gender,what type of analysis should be used?

A 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: What is the critical value of chi-square with $\alpha$ = 0.05?

The chi-square has

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?