6. Consider a situation in which we expect one-third of the observed values to be in each of three categories. We can use an x goodness-of-fit test to test whether the frequencies of offspring are as expected. The numbers of values in each category are 14, 19, and 27.
6. Consider a situation in which we expect one-third of the observed values to be in each of three categories. We can use an x goodness-of-fit test to test whether the frequencies of offspring are as expected. The numbers of values in each category are 14, 19, and 27.
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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HW 6
![**Chi-Square Goodness-of-Fit Test**
**Scenario:**
Consider a situation in which we expect one-third of the observed values to be in each of three categories. We can use a chi-square (\(\chi^2\)) goodness-of-fit test to determine whether the frequencies of offspring are as expected. The numbers of values in each category are 14, 19, and 27.
**Steps:**
- **a. State the Hypotheses**
- \(H_0\): [State the null hypothesis]
- \(H_A\): [State the alternative hypothesis]
- **b. Calculate the Expected Number of Offspring in Each Category**
- Expected number in category 1: _______
- Expected number in category 2: _______
- Expected number in category 3: _______
Show work below.
- **c. Calculate the \(\chi^2\) Test Statistic**
- Answer: _______
Show ALL work below.
- **d. State the Degrees of Freedom**
- Answer: _______
- **e. Determine the P Value for the Test**
- Write the ONE phrase that best describes the P value for this test: _______
Options:
- \(P > 0.05\)
- \(P < 0.05\)
- \(P < 0.95\)
- \(P > 0.95\)
- \(P < 0.005\)
- \(P > 0.005\)
**Note:** Ensure to show all calculations and reasoning to support your conclusions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9eb30bbe-7a1d-412e-b9ff-795e0bb08fb1%2F6d04eeec-9ca1-4429-9624-31279ef47265%2Fxfd2qph_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Chi-Square Goodness-of-Fit Test**
**Scenario:**
Consider a situation in which we expect one-third of the observed values to be in each of three categories. We can use a chi-square (\(\chi^2\)) goodness-of-fit test to determine whether the frequencies of offspring are as expected. The numbers of values in each category are 14, 19, and 27.
**Steps:**
- **a. State the Hypotheses**
- \(H_0\): [State the null hypothesis]
- \(H_A\): [State the alternative hypothesis]
- **b. Calculate the Expected Number of Offspring in Each Category**
- Expected number in category 1: _______
- Expected number in category 2: _______
- Expected number in category 3: _______
Show work below.
- **c. Calculate the \(\chi^2\) Test Statistic**
- Answer: _______
Show ALL work below.
- **d. State the Degrees of Freedom**
- Answer: _______
- **e. Determine the P Value for the Test**
- Write the ONE phrase that best describes the P value for this test: _______
Options:
- \(P > 0.05\)
- \(P < 0.05\)
- \(P < 0.95\)
- \(P > 0.95\)
- \(P < 0.005\)
- \(P > 0.005\)
**Note:** Ensure to show all calculations and reasoning to support your conclusions.
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