Based on information from a previous study, r1 = 38 people out of a random sample of n1 = 104 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 104 adult Americans who did attend college, r2 = 48 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use ? = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2 H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large.The standard normal. The number of trials is sufficiently large. The Student's t. We assume the population distributions are approximately normal.The standard normal. We assume the population distributions are approximately normal. What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

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

Based on information from a previous study, r₁ = 38 people out of a random sample of n₁ = 104 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n₂ = 104 adult Americans who did attend college, r₂ = 48 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use ? = 0.01.

(a) What is the level of significance?

State the null and alternate hypotheses.

H₀: p₁ = p₂; H₁: p₁ > p₂H₀: p₁ = p₂; H₁: p₁ < p₂ H₀: p₁ = p₂; H₁: p₁ ≠ p₂H₀: p₁ < p₂; H₁: p₁ = p₂

(b) What sampling distribution will you use? What assumptions are you making?

The Student's t. The number of trials is sufficiently large.The standard normal. The number of trials is sufficiently large. The Student's t. We assume the population distributions are approximately normal.The standard normal. We assume the population distributions are approximately normal.

What is the value of the sample test statistic? (Test the difference p₁ − p₂. Do not use rounded values. Round your final answer to two decimal places.)

(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

Expert Solution

Introduction

The parametric test contain the assumption of normally distribution. But the non parametric test is used when the assumption of normal distribution fails. The z test is used when the sample size is sufficiently large and the population variance are known. The test is used when the sample size is small and the population variance are unknown.