(a) What is the sample statistic? 0.2238 O 0.15 0.0857 O 0.007 (b) Which symbol is used for the statistic in this problem? π Ομ ор O 831 (c) Which hypotheses are being tested? O Ho: μ = 0.15 Ha: * 0.15 O Ho: π = 0.0857 Ha: 0.0857 O Ho: π = 0.15 Ha: π * 0.15 Hoπ = 0.007
(a) What is the sample statistic? 0.2238 O 0.15 0.0857 O 0.007 (b) Which symbol is used for the statistic in this problem? π Ομ ор O 831 (c) Which hypotheses are being tested? O Ho: μ = 0.15 Ha: * 0.15 O Ho: π = 0.0857 Ha: 0.0857 O Ho: π = 0.15 Ha: π * 0.15 Hoπ = 0.007
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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Question
Transcribed Image Text:**Question (a):** What is the sample statistic?
- 0.2238 (selected)
- 0.15
- 0.0857
- 0.007
**Question (b):** Which symbol is used for the statistic in this problem?
- π
- μ
- p̂
- x̄
**Question (c):** Which hypotheses are being tested?
- H₀: μ = 0.15
Hₐ: μ ≠ 0.15
- H₀: π = 0.0857
Hₐ: π ≠ 0.0857
- H₀: π = 0.15
Hₐ: π ≠ 0.15
- H₀: π = 0.007
Transcribed Image Text:**Simulation of Proportion of Successes in Binomial Distribution**
**Parameters:**
- **Probability of success (π):** 0.15
- **Sample size (n):** 210
- **Number of samples:** 1000
**Options:**
- Animate the simulation process.
- Focus on the Proportion of successes.
**Inputs:**
- **As extreme as**: ≤ 0.0857 (threshold for comparison)
- Calculated **Proportion of samples**: (6 + 1) / 1000 = 0.0070
**Statistical Methods Selected:**
- Two-sided test for proportion values.
- Use of Exact Binomial distribution.
- Normal Approximation method.
**Graph Description:**
The graph depicts the distribution of the proportion of successes across 1000 samples. The x-axis represents the "Proportion of successes," ranging from approximately 0.08 to 0.23. The y-axis shows the frequency of samples, with a peak frequency of around 90.
- A normal distribution curve (in blue) overlays the frequency bars.
- Two red vertical lines indicate the cutoff points used in the analysis:
- Left line at 0.0857
- Right line at 0.2238
- The area under the curve for proportions less than or equal to 0.0857 is highlighted with a red label showing 0.0070, representing the proportion of samples as calculated.
**Additional Features:**
- Options to show previous results or enable sliders for dynamic adjustments.
Expert Solution
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a)
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