MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Hypothesis Testing for Graduate Employment Rates**

A school reports that 85% of its graduates secure jobs within one year. From a random sample of 66 graduates, 54 obtained jobs within this timeframe. We need to determine if there is enough evidence to claim that a significantly smaller percentage of graduates are employed than what the school advertises. We will use a significance level of α = 0.025.

1. **Appropriate Test for the Study:**
   - Use the **1-PropZTest**.

2. **Formulating Hypotheses:**
   - **Null Hypothesis (H₀):** \( p = 0.85 \)
   - **Alternative Hypothesis (H₁):** \( p < 0.85 \)

3. **Calculating the Test Statistic:**
   - The test statistic field requires the result to be displayed to three decimal places.

4. **Determining the p-value:**
   - Enter the p-value displayed to four decimal places.

This setup guides through testing whether the employment claim made by the school holds true according to the sample data using a one-proportion Z-test.
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Transcribed Image Text:**Hypothesis Testing for Graduate Employment Rates** A school reports that 85% of its graduates secure jobs within one year. From a random sample of 66 graduates, 54 obtained jobs within this timeframe. We need to determine if there is enough evidence to claim that a significantly smaller percentage of graduates are employed than what the school advertises. We will use a significance level of α = 0.025. 1. **Appropriate Test for the Study:** - Use the **1-PropZTest**. 2. **Formulating Hypotheses:** - **Null Hypothesis (H₀):** \( p = 0.85 \) - **Alternative Hypothesis (H₁):** \( p < 0.85 \) 3. **Calculating the Test Statistic:** - The test statistic field requires the result to be displayed to three decimal places. 4. **Determining the p-value:** - Enter the p-value displayed to four decimal places. This setup guides through testing whether the employment claim made by the school holds true according to the sample data using a one-proportion Z-test.
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