Exam 15: Nonparametric Methods: Nominal Level Hypothesis Tests

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

The computed chi-square value is positive because the difference between the observed and expected frequencies is _____________.

For a contingency table, the expected frequency for a cell is found by dividing the row total by the grand total.

Among 200 people surveyed, 66 people or 0.33% preferred the product. 0.33% is called the _______________.

The pooled estimate of the proportion is found by dividing the total number of samples by the total number of successes.

The null hypothesis in the goodness-of-fit test 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. Based on the normal distribution, what is the probability that an observation would be in this class?

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 gender. They collected the following responses from 100 randomly selected students: The null hypothesis for the analysis 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?

Nonparametric tests require no assumptions about the shape of the population distribution.

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?

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 alternative hypothesis?

There is not one, but a family of chi-square distributions. There is a chi-square distribution for 1 degree of freedom, another for 2 degrees of freedom, another for 3 degrees of freedom, and so on.

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 10% level of significance?

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

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

What is our decision for a goodness-of-fit test with a computed chi-square value of 1.273 and a critical value of 13.388?

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 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 is the pooled proportion?

If 20 out of 50 students sampled live in a college dormitory, what is the estimated proportion of students at the University living in a dormitory?