**Problem Statement:**A psychologist has developed a new aptitude test and claims that more than 75% of the public should score above 50 on the test. From a sample of 200 people, 164 scored above 50. Is there statistical evidence to support the psychologist’s claim? Use α = 0.01.**Steps for Hypothesis Testing:**1. **Identify the Parameter:** - The parameter of interest is the proportion of the public that would score above 50 on the test.2. **Null Hypothesis (H0):** - The null hypothesis is that 75% or fewer of the public score above 50 on the test. Mathematically, \( H_0: p \leq 0.75 \).3. **Alternative Hypothesis (H1):** - The alternative hypothesis is that more than 75% of the public score above 50 on the test. Mathematically, \( H_1: p > 0.75 \).4. **Test Statistic:** - Calculate the test statistic, typically using the formula for the standard Normal distribution \( (z) \).5. **p-value:** - Determine the p-value to compare with the level of significance (α = 0.01).6. **Conclusion:** - Draw the conclusion whether to reject or not reject the null hypothesis based on the comparison of the p-value and α.**Graph Explanation:**- **Normal Distribution Bell Curve:** - A bell-shaped curve is illustrated, which represents the standard Normal distribution. This curve is typically used to visualize the relationship between the test statistic and the critical value or p-value for hypothesis tests.

Given Information: Sample size (n) = 200 Out of 200 people 164 scored above 50. X = 164. proportion…

A psychologist has developed a new aptitude test and claims more than 75% of the public should score above 50 on the test. From a sample of 200 people, 164 scored above 50. Is there statistical evidence to support the psychologist’s claim? Use a = 0.01. 1. Identify the parameter 5. р-value 2. Null Hypothesis 3. Alternative Hypothesis

A psychologist has developed a new aptitude test and claims more than 75% of the public should score above 50 on the test. From a sample of 200 people, 164 scored above 50. Is there statistical evidence to support the psychologist’s claim? Use a = 0.01. 1. Identify the parameter 5. р-value 2. Null Hypothesis 3. Alternative Hypothesis

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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