**Example Question: Statistical Hypothesis Testing****Consider a hypothesis test about two proportions, H₀: p₁ = p₂ versus Hₐ: p₁ ≠ p₂. If the alternative hypothesis Hₐ is true, increasing the size of the two samples would tend to ________ the absolute value of the test statistic and ________ the p-value. The two blanks should be:**(i) increase; increase(ii) increase; decrease(iii) decrease; increase(iv) decrease; decreaseIn hypothesis testing, when the sample size increases, the precision of the test improves. Assuming the alternative hypothesis \( H_a \) is true, typically we would expect:1. **Absolute Value of Test Statistic**: As the sample size increases, the test statistic, which measures the degree of deviation from the null hypothesis, becomes more extreme (i.e., the absolute value increases).2. **p-value**: The p-value, which indicates the probability of observing the test results under the null hypothesis, typically decreases with a larger sample size in the presence of a true effect.Thus, the correct choice is (ii) **increase; decrease**.

This tests for a difference in proportions. A two proportion Z-test allows you to compare two…

(c) Consider a hypothesis test about two proportions, Ho: P1 = P2 versus Ha: pi # p2. If the alternative hypothesis Ha is true, increasing the size of the two samples would tend to the absolute value of the test statistic and the p-value. The two blanks should be (i) increase; increase (ii) increase; decrease (iii) decrease; increase (iv) decrease; decrease

(c) Consider a hypothesis test about two proportions, Ho: P1 = P2 versus Ha: pi # p2. If the alternative hypothesis Ha is true, increasing the size of the two samples would tend to the absolute value of the test statistic and the p-value. The two blanks should be (i) increase; increase (ii) increase; decrease (iii) decrease; increase (iv) decrease; decrease

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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