Exam 15: Nonparametric Methods: Nominal Level Hypothesis Tests

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

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. The appropriate test to analyze the relationship between social activity and education is ________.

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. What are the standard normal z-statistics for the class limits?

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the p-value?

In a market test of a new chocolate raspberry coffee,a poll of 400 people from Dobbs Ferry showed 250 preferred the new coffee. In Irvington,170 out of 350 people preferred the new coffee. To test the hypothesis that there is no difference in preferences between the two villages,what is the null hypothesis?

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

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.

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?

A sample of 250 adults tried the new multigrain cereal Wow! A total of 187 rated it as excellent. In a sample of 100 children,66 rated it as excellent. Using the 0.1 significance level,the researcher wishes to show that adults like the cereal better than children. What test statistic should we use to compare the ratings of adults and children?

For a chi-square test involving a contingency table,suppose the null hypothesis is rejected. We conclude that the two variables are ________.

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 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 expected frequency for people who are undecided about the project and have property front footage between 45 and 120 feet?

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

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the critical value if α = 0.01?

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?

In testing the difference between two population proportions,we pool the two sample proportions to estimate the population proportion.

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 chi-square distribution is positively skewed.

If the decision is to reject the null hypothesis of no difference between two population proportions at the 5% level of significance,what are the alternative hypothesis and rejection region?

If we are testing the difference between two population proportions,it is assumed that the two populations are approximately normal and have equal variances.