Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or t table) H0: p1 − p2 ≥ 0 HA: p1 − p2 < 0 x1 = 250 x2 = 275 n1 = 400 n2 = 400 a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b. Find the p-value. multiple choice 1 p-value < 0.01 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 c. At the 5% significance level, what is the conclusion to the test? multiple choice 2 Reject H0 since the p-value is less than significance level. Reject H0 since the p-value is greater than significance level. Do not reject H0 since the p-value is less than significance level. Do not reject H0 since the p-value is greater than significance level. d. Interpret the results at αα = 0.05. multiple choice 3 We conclude that the population proportions differ. We cannot conclude that the population proportions differ. We conclude that population proportion 2 is greater than population proportion 1. We cannot conclude that population proportion 2 is greater than population proportion 1.

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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Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference the appropriate table: z table or t table)

H₀: p₁ − p₂ ≥ 0
H_A: p₁ − p₂ < 0

x₁ = 250	x₂ = 275
n₁ = 400	n₂ = 400

a. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

b. Find the p-value.

multiple choice 1

p-value < 0.01
0.01 ≤ p-value < 0.025
0.025 ≤ p-value < 0.05
0.05 ≤ p-value < 0.10
p-value ≥ 0.10

c. At the 5% significance level, what is the conclusion to the test?

multiple choice 2

Reject H₀ since the p-value is less than significance level.
Reject H₀ since the p-value is greater than significance level.
Do not reject H₀ since the p-value is less than significance level.
Do not reject H₀ since the p-value is greater than significance level.

d. Interpret the results at

αα

= 0.05.

multiple choice 3

We conclude that the population proportions differ.
We cannot conclude that the population proportions differ.
We conclude that population proportion 2 is greater than population proportion 1.
We cannot conclude that population proportion 2 is greater than population proportion 1.

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