Exam 15: Nonparametric Methods: Goodness-Of-Fit Tests

Six people have declared their intentions to run for a seat on the school board in the next local election. A poll is conducted during the campaign among 1,020 randomly sampled voters to determine if there is any clear preference among the voters. The responses are shown next. What is the critical value at the 1% level of significance?

Recently, students in a marketing research class were interested in the driving behavior of students. Specifically, the marketing students were interested in finding out 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?

A frequency distribution has a mean of 200 and a standard deviation of 20. The class limits for one class are 220 up to 240. Based on the normal distribution, what is the probability that an observation would be in this class?

What is our decision for a goodness-of-fit test with a computed chi-square value of 1.273 and a critical value of 13.388?

A question has these possible responses-excellent, very good, good, fair, and unsatisfactory. What are the degrees of freedom for a goodness-of-fit test to test the hypothesis that responses are uniformly distributed?

We are interested in knowing if the following frequency distribution is normally distributed. The population mean and standard deviation of the data are 600 and 160, respectively. If the distribution was normally distributed, what is the probability that an observation would be a member of the "800 up to 1000" class?

We are interested in knowing if the following frequency distribution is normally distributed. The population mean and standard deviation of the data are 600 and 160, respectively. If the distribution was normally distributed, what is the probability that an observation would be a member of the "800 up to 1000" class?

The shape of the chi-square distribution depends on the number of degrees of freedom.

A frequency distribution has a mean of 100 and a standard deviation of 20. The class limits for one class are 50 up to 60. What are the standard normal z-statistics for the class limits?

A scatter plot is a useful graphical method to determine if a set of sample data is from a normal population.

To determine if a set of ungrouped, raw data is normally distributed, the cumulative relative frequency distribution of the raw data is compared to a ____________.

In a goodness-of-fit test, the null hypothesis (no difference between sets of observed and expected frequencies) is rejected when the ________________.

A personnel manager is concerned about absenteeism. She decides to sample employee records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis is: Absenteeism is distributed evenly throughout the week. Use the 0.01 level of significance. 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 in finding out if exceeding the speed limit was related to social activity. They collected the following responses from 100 randomly selected students: Using 0.05 as the significance level, what is the critical value for the test statistic?

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. What is the value of the chi-square test statistic?

The use of the chi-square statistic would be permissible in the following goodness-of-fit test.

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

To verify that an observed frequency distribution is normally distributed, a ________ statistic is used to test the hypothesis that the sample data is normally distributed.

The null hypothesis in the goodness-of-fit test is __________.

The chi-square statistic has __________.