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

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. The null hypothesis for the analysis is __________________________.

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. How many degrees of freedom are there?

The chi-square statistic _______________.

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. Based on the normal distribution, what is the probability that an observation would be in this class?

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 null hypothesis?

A contingency table shows the frequencies for three levels of income with gender. There are ______ degrees of freedom to test the null hypothesis that income and gender are independent.

As the degrees of freedom increase, the shape of a chi-square distribution approaches a ______________ distribution.

A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. What is the critical value at the 10% level of significance?

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?

A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. What is the critical value at the 5% level of significance?

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. The 0.01 level is to be used. The sample results are: What is the calculated value of chi-square?

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

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

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 gender. They collected the following responses from 100 randomly selected students: The null hypothesis for the analysis is ____________.

The chi-square test statistic used in a goodness-of-fit test has k - 1 degrees of freedom.

For a goodness-of-fit test, the following are possible null and alternate hypotheses: H₀: Sales are uniformly distributed among the five locations. H₁: Sales are not uniformly distributed among the five locations.

To test if an observed frequency distribution with five classes is normally distributed, we need to find ___________________.

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. The 0.01 level is to be used. The sample results are: What is the expected frequency?

Which of the following assumptions is necessary to apply a goodness-of-fit test?

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.