MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![**Introduction to Hypothesis Testing in Industrial Psychology**
**Scenario Overview:**
A large office building features four entrances, with one entrance newly enhanced by improved landscaping. An industrial psychologist aims to determine if this change influences entrance preference. Using video surveillance, he tracks 200 entrants, noting that 80 individuals (or 40%) choose the improved entrance. He wants to assess if this is more than would be expected if all entrances had equal preference, forming the hypotheses:
- Null Hypothesis (H₀): p = 0.25
- Alternative Hypothesis (Hₐ): p > 0.25
**Question 24: Determining the Null Distribution**
In forming a standard statistical test, identifying the correct null distribution is crucial. Our focus is on determining which normal distribution to use for testing the null hypothesis.
**Answer Choices:**
a. A normal distribution centered at 0.25 with standard deviation
\[
\sqrt{\frac{(0.4)(1-0.4)}{200}}
\]
b. A normal distribution centered at 0.40 with standard deviation
\[
\sqrt{\frac{(0.4)(1-0.4)}{200}}
\]
c. A normal distribution centered at 0.40 with standard deviation
\[
\sqrt{\frac{(0.25)(1-0.25)}{200}}
\]
d. A normal distribution centered at 0.25 with standard deviation
\[
\sqrt{\frac{(0.25)(1-0.25)}{200}}
\]
**Conclusion:**
When conducting this kind of hypothesis test, it's crucial to align the null hypothesis with the expected probability (0.25) assuming equal entrance usage probabilities and calculate the standard deviation based on this expected probability.
**Note:** The correct answer involves selecting a normal distribution that reflects the null hypothesis condition for entrance choice probability and utilizes appropriate standard deviation calculation.](https://content.bartleby.com/qna-images/question/8c70aac6-39c6-4705-807c-a78584971187/cf8b70d6-ea9b-47f4-8ef7-11323ee93025/mu0plmf_processed.png)
Transcribed Image Text:**Introduction to Hypothesis Testing in Industrial Psychology**
**Scenario Overview:**
A large office building features four entrances, with one entrance newly enhanced by improved landscaping. An industrial psychologist aims to determine if this change influences entrance preference. Using video surveillance, he tracks 200 entrants, noting that 80 individuals (or 40%) choose the improved entrance. He wants to assess if this is more than would be expected if all entrances had equal preference, forming the hypotheses:
- Null Hypothesis (H₀): p = 0.25
- Alternative Hypothesis (Hₐ): p > 0.25
**Question 24: Determining the Null Distribution**
In forming a standard statistical test, identifying the correct null distribution is crucial. Our focus is on determining which normal distribution to use for testing the null hypothesis.
**Answer Choices:**
a. A normal distribution centered at 0.25 with standard deviation
\[
\sqrt{\frac{(0.4)(1-0.4)}{200}}
\]
b. A normal distribution centered at 0.40 with standard deviation
\[
\sqrt{\frac{(0.4)(1-0.4)}{200}}
\]
c. A normal distribution centered at 0.40 with standard deviation
\[
\sqrt{\frac{(0.25)(1-0.25)}{200}}
\]
d. A normal distribution centered at 0.25 with standard deviation
\[
\sqrt{\frac{(0.25)(1-0.25)}{200}}
\]
**Conclusion:**
When conducting this kind of hypothesis test, it's crucial to align the null hypothesis with the expected probability (0.25) assuming equal entrance usage probabilities and calculate the standard deviation based on this expected probability.
**Note:** The correct answer involves selecting a normal distribution that reflects the null hypothesis condition for entrance choice probability and utilizes appropriate standard deviation calculation.
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