A researcher exams if the frequency of driving accidents differs depending on age in younger adults. She assesses three age groups: (1) Age 16-22, (2) Age 23-29, and (3) Age 30-36. The researcher collects data on 300 people (N = 300) who have had accidents over the past year and classifies them by age. Her null expectation is for equal frequencies across groups. The table provides the observed and expected frequencies for the three groups. Age 16-22 Age 23-29 Age 30-36 Observed (O) 140 92 68 Expected (E) 100 100 100 Use the chi-square (χ2) Goodness-of-fit to test if accidents are equally common across the three age categories. State the hypotheses (H0 and H1) Find the critical value for α = .05 Calculate the test statistic (χ2) Make a statistical decision and write a conclusion statement. Remember to informally compare observed and expected values to understand the results.
A researcher exams if the frequency of driving accidents differs depending on age in younger adults. She assesses three age groups: (1) Age 16-22, (2) Age 23-29, and (3) Age 30-36. The researcher collects data on 300 people (N = 300) who have had accidents over the past year and classifies them by age. Her null expectation is for equal frequencies across groups. The table provides the observed and expected frequencies for the three groups. Age 16-22 Age 23-29 Age 30-36 Observed (O) 140 92 68 Expected (E) 100 100 100 Use the chi-square (χ2) Goodness-of-fit to test if accidents are equally common across the three age categories. State the hypotheses (H0 and H1) Find the critical value for α = .05 Calculate the test statistic (χ2) Make a statistical decision and write a conclusion statement. Remember to informally compare observed and expected values to understand the results.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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- A researcher exams if the frequency of driving accidents differs depending on age in younger adults. She assesses three age groups: (1) Age 16-22, (2) Age 23-29, and (3) Age 30-36. The researcher collects data on 300 people (N = 300) who have had accidents over the past year and classifies them by age. Her null expectation is for equal frequencies across groups. The table provides the observed and expected frequencies for the three groups.
|
Age 16-22 |
Age 23-29 |
Age 30-36 |
Observed (O) |
140 |
92 |
68 |
Expected (E) |
100 |
100 |
100 |
Use the chi-square (χ2) Goodness-of-fit to test if accidents are equally common across the three age categories.
- State the hypotheses (H0 and H1)
- Find the critical value for α = .05
- Calculate the test statistic (χ2)
- Make a statistical decision and write a conclusion statement. Remember to informally compare observed and
expected values to understand the results.
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