Exam 17: 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 below. What is the critical value at the 5% level of significance?

If we wanted to see if tossing a die (a cube with the sides numbered one through six) had an equal chance of showing each side or number, what statistical test should be applied?

To verify that a frequency distribution for sample data is normally distributed, the expected frequencies are computed using probabilities from a _____________ distribution.

Which of the following can be used to test the hypothesis that two nominal variables are related?

The chi-square distribution is positively skewed.

To test the null hypothesis that a set of sample data is normally distributed, we compare an expected normal distribution of the data to an observed distribution of the data.

The computed value of chi-square statistic is always positive because the numerator is the difference between the observed frequencies and the expected frequencies _______________.

A F-test is useful for testing the null hypothesis that a set of sample data is normally distributed.

Three new colors have been proposed for the Jeep Grand Cherokee vehicle. They are silvered-blue, almond, and willow green. The null hypothesis for a goodness-of-fit test would be

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

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

A recent study of the relationship between social activity and education showed the following results. The appropriate test to analyze the relationship between social activity and education is:

We are interested in knowing if the following frequency distribution is normally distributed. The mean and standard deviation of the data is 600 and 160. If the distribution was normally distributed, what is the probability that an observation would be a member of the "400 up to 600" class?

The shape of the chi-square distribution changes for each number of degrees of freedom.

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

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?

We are interested in knowing if the following frequency distribution is normally distributed. The mean and standard deviation of the data is 600 and 160. To test the hypothesis that the frequency distribution is normally distributed, what is the degrees of freedom for the chi-square statistic?

A survey of the opinions of property owners about a street widening project was taken to determine whether the property owners' opinions were related to their property's distance (front-footage) from the street. A randomly selected sample of 100 property owners was contacted and the results are shown below. What is your decision regarding the null hypothesis at the 5% level of significance?

The chi-square statistic

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