11.2 Goodness-of-Fit Test

H_a: Student absenteeism does not fit faculty perception.

a. Can you use the information as it appears in the charts to conduct the goodness-of-fit test?

H_a: Student absenteeism does not fit faculty perception.

b. What is the number of degrees of freedom (df)?

A factory manager needs to understand how many products are defective versus how many are produced. The number of expected defects is listed in the table.

A random sample was taken to determine the actual number of defects. the table shows the results of the survey.

State the null and alternative hypotheses needed to conduct a goodness-of-fit test, and state the degrees of freedom.

Teachers want to know which night each week their students are doing most of their homework. Most teachers think that students do homework equally throughout the week. Suppose a random sample of 56 students were asked on which night of the week they did the most homework. The results were distributed as in the table.

From the population of students, do the nights for the highest number of students…

The expected percentage of the number of pets students have in their homes is distributed (this is the given distribution for the student population of the United States) as in the table.

A random sample of 1,000 students from the eastern United States resulted in the data in the table.

At the 1 percent significance level, does it appear that the distribution number of pets of students in the east…

Determine the appropriate test to be used in the next three exercises.

An economist is deriving a model to predict outcomes on the stock market. He creates a list of expected points on the stock market index for the next two weeks. At the close of each day’s trading, he records the actual points on the index. He wants to see how well his model matched what actually happened.

$d f =$ ______

χ² test statistic = ______

At the 5 percent significance level, what can you conclude?

H₀: _______

Is this a right-tailed, left-tailed, or two-tailed test?

χ² test statistic = _______

For each problem, use a solution sheet to solve the hypothesis test problem. Go to the reference for the chi-square solution sheet. Round expected frequency to two decimal places.

The marital status distribution of the U.S. male population, ages 15 and older, is as shown in the table.

Suppose that a random sample of 400 U.S. males, 18 to 24 years old, yielded the following frequency distributio…

Perform a goodness-of-fit test to determine whether the local results follow the distribution of U.S. AP examinee population, based on ethnicity.

Use the following information to answer the next two exercises. UCLA conducted a survey of more than 263,000 college freshmen from 385 colleges in fall 2005. The results of students’ expected majors by gender were reported in The Chronicle of Higher Education (2/2/2006). Suppose a survey of 5,000 graduating females and 5,000 graduating males was done as a follow-up last year to determine what thei…

Read the statement and decide whether it is true or false.

In a goodness-of-fit test, the expected values are the values we would expect if the null hypothesis were true.

Read the statement and decide whether it is true or false.

Use a goodness-of-fit test to determine if high school principals believe that students are absent equally during the week.

Read the statement and decide whether it is true or false.

In a goodness-of-fit test, if the p-value is 0.0113, in general, do not reject the null hypothesis.

Read the statement and decide whether it is true or false.

the table contains information from a survey of 499 participants classified according to their age groups. The second column shows the percentage of obese people per age class among the study participants. The last column comes from a different study at the national level that shows the corresponding percentages of obese people in the same…