Exam 15: Nonparametric Methods: Nominal Level Hypothesis Tests

Some important uses of the chi-square include testing for the association of two categorical variables.

To test the hypothesis that 55% of those families who plan to purchase a vacation residence in Florida want a condominium, the null hypothesis is π = 0.55 and the alternate is π ≠ .55. A random sample of 400 families who planned to buy a vacation residence revealed that 228 families want a condominium. What decision should be made regarding the null hypothesis using the 0.01 level of significance?

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?

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. To test the hypothesis that the frequency distribution is normally distributed, what is the value of the chi-square critical value at the .05 level of significance?

For hypothesis tests using a chi-square statistic, the rejection region is in the _____________ tail of the chi-square distribution.

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

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 your decision if α = 0.01?

Some important uses of the chi-square distribution include:

The chi-square distribution becomes more symmetrical as the ____________.

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?

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 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 computed z-statistic is -1.960 and the level of significance is 0.01, your decision would be _______________.

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

The use of the chi-square statistic would be permissible in the following goodness-of-fit test.

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

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 pooled estimate of the population proportion?

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.

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 null hypothesis?

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 null hypothesis?

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 5% level of significance?