Exam 15: Nonparametric Methods: Nominal Level Hypothesis Tests

It is claimed that in a bushel of peaches, less than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the null hypothesis?

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?

The lowest level of measurement for a chi-square goodness-of-fit test is the ______________ level.

What are the degrees of freedom for a contingency table analysis?

In the past five years, 45% of the tourists who visited Orlando, Florida, went to see local attractions. The city council recently spent a significant amount of money on advertising and promoting visits to area attractions. They are interested in knowing whether the advertising campaign was effective-whether it increased the proportion of tourists visiting local attractions. The proper set of hypotheses is ________________.

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

A manufacturer claims that less than 1% of all its products do not meet the minimum government standards. A survey of 500 products revealed that 10 did not meet the standard. If the level of significance is 2%, the critical value is _____.

Students were sampled in order to determine their support for the legalization of gambling in their community. A sample of 150 students were asked whether or not they supported legalization of gambling, and the following results were obtained. The value of the chi-square test statistic equals _____.

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?

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 kind of frequencies are the numbers 12, 9, 11, 10, 9, and 9 called?

To compare the effect of weather on sales of soft drinks, a distributor surveyed people in two regions of the country and asked if they purchased soft drinks in the last month. The following are the results. The distributor would like to know if there is a difference in sales between the two regions? What is the proportion of people who purchased soda in Region A

It is claimed that in a bushel of peaches, less than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the critical value for α = 0.025?

To test a hypothesis that a frequency distribution for sample data is normally distributed, class limits are transformed using a ____________.

A manufacturer claims that less than 1% of all its products do not meet the minimum government standards. A survey of 500 products revealed that 10 did not meet the standard. Thus, the null hypothesis is ___________________.

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 against the project and who have over 120 feet of property foot-frontage?

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 chi-square distribution is _____________.

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?

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?