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

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. At the 5% level of significance, what is the critical value?

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

A t-statistic is useful for computing an expected normal distribution.

Nonparametric tests require no assumptions about the shape of the population 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 your decision regarding the null hypothesis at the 5% 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: Based on the analysis, what can be concluded?

For any goodness-of-fit test, the null hypothesis is that there is ____ difference between the expected and observed distributions.

If the computed value of a chi-square statistic is greater than the critical value, the null hypothesis is ________.

For a contingency table test of independence, the formula to compute the degrees of freedom 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. At the 1% level of significance, what is your decision regarding the null hypothesis?

When determining how well an observed set of frequencies fit an expected set of frequencies, what is the test statistic?

The test statistic for a goodness-of-fit test for unequal expected frequencies is a __________ statistic.

What does a significantly large chi-square statistic infer about the differences between the observed and expected frequencies in a goodness-of-fit test?

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: The degrees of freedom for the analysis are ________.

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 critical value of chi-square with α = 0.05?

A chi-square goodness-of-fit test is used to determine how well an observed distribution fits an _________ distribution.

The shape of the chi-square distribution is _________________.

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. What are the standard normal z-statistic class limits for the "800 up to 1000" class?

When testing a goodness-of-fit null hypothesis, and there are extremely large differences between observed and expected frequencies, the null hypothesis should be ___________.

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 computed chi-square statistic?