11.2 Goodness-of-Fit Test

Observed counts weighed against the counts a claimed distribution predicts, to decide whether data fit a uniform, binomial, or other model.

Introductory Statistics 2e, 11.2 Goodness-of-Fit Test

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16 exercises

11.2 Exercise 1

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?

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11.2 Exercise 2

H_a: Student absenteeism does not fit faculty perception.

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

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11.2 Exercise 11

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. They create a list of expected points on the stock market index for the next two weeks. At the close of each day’s trading, The economist records the actual points on the index. They want to see how well the model matched what actually happened.

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11.2 Exercise 13

$d f =$ ______

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11.2 Exercise 15

χ² test statistic = ______

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11.2 Exercise 17

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

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11.2 Exercise 19

H₀: _______

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11.2 Exercise 21

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

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11.2 Exercise 23

χ² test statistic = _______

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11.2 Exercise 28

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 population of U.S. men, ages 15 and older, is as shown in the table.

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

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11.2 Exercise 30

Perform a goodness-of-fit test to determine whether the local results follow the distribution of those that use mass transit, based on ethnicity.

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11.2 Exercise 32

Use the following information to answer the next two exercises: UCLA conducted a survey of more than 263,000 first-year students 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 women and 5,000 graduating men was done as a follow-up last year to determine what their…

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11.2 Exercise 34

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.

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11.2 Exercise 36

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 or not.

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11.2 Exercise 38

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.

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11.2 Exercise 40

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

the table contains information from a survey among 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 s…

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