Homework Help is Here – Start Your Trial Now!
Math
Statistics
’m really confused on the last part, is the z statistics is not in or in the critical region and the researcher can or cannot reject the null hypothesis please help me

’m really confused on the last part, is the z statistics is not in or in the critical region and the researcher can or cannot reject the null hypothesis please help me

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%
I’m really confused on the last part, is the z statistics is not in or in the critical region and the researcher can or cannot reject the null hypothesis please help me
To use the tool to help you evaluate the hypothesis, click on the icon with the purple line, place the two orange lines on the critical values, and then place the purple line on the z statistic. Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 NA The critical region is Oz 1.96 and z = -1.96 The Z-score boundaries for an alpha level a = 0.001 are: Oz= 3.29 and z= -3.29 -4 O z = 2.58 and z = -2.58 -3 -2 2500 €5000 -1 -0.67 0 0.67 2500 1 2 3 4 Suppose that the calculated z statistic for a particular hypothesis test is 4.12 and the alpha is 0.001. This z statistic is Therefore, the researcher reject the null hypothesis, and he Z the critical region. conclude the alternative hypothesis is probably correct.
Transcribed Image Text:To use the tool to help you evaluate the hypothesis, click on the icon with the purple line, place the two orange lines on the critical values, and then place the purple line on the z statistic. Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 NA The critical region is Oz 1.96 and z = -1.96 The Z-score boundaries for an alpha level a = 0.001 are: Oz= 3.29 and z= -3.29 -4 O z = 2.58 and z = -2.58 -3 -2 2500 €5000 -1 -0.67 0 0.67 2500 1 2 3 4 Suppose that the calculated z statistic for a particular hypothesis test is 4.12 and the alpha is 0.001. This z statistic is Therefore, the researcher reject the null hypothesis, and he Z the critical region. conclude the alternative hypothesis is probably correct.
4. Alpha level and the critical region The alpha level is set Use the following Distributions tool to identify the boundaries that separate the extreme samples from the samples that are more obviously consistent with the null hypothesis. Assume the null hypothesis is nondirectional, meaning that the critical region is split across both tails of the distribution. The Z-score boundaries at an alpha level a = .05 are: O z 3.29 and z = -3.29 O z = 2.58 and z = -2.58 the analysis of the data. O z = 1.96 and z = -1.96 To use the tool to identify the z-score boundaries, click on the icon with two orange lines, and slide the orange lines until the area in the critical region equals the alpha level. Remember that the probability will need to be split between the two tails. To use the tool to help you evaluate the hypothesis, click on the icon with the purple line, place the two orange lines on the critical values, and then place the purple line on the z statistic.
Transcribed Image Text:4. Alpha level and the critical region The alpha level is set Use the following Distributions tool to identify the boundaries that separate the extreme samples from the samples that are more obviously consistent with the null hypothesis. Assume the null hypothesis is nondirectional, meaning that the critical region is split across both tails of the distribution. The Z-score boundaries at an alpha level a = .05 are: O z 3.29 and z = -3.29 O z = 2.58 and z = -2.58 the analysis of the data. O z = 1.96 and z = -1.96 To use the tool to identify the z-score boundaries, click on the icon with two orange lines, and slide the orange lines until the area in the critical region equals the alpha level. Remember that the probability will need to be split between the two tails. To use the tool to help you evaluate the hypothesis, click on the icon with the purple line, place the two orange lines on the critical values, and then place the purple line on the z statistic.
Expert Solution
Step 1: Overview

At alpha equals 0.001, the critical values are z = 3.29 and z = -3.29.

At alpha equals 0.05, the critical values are z = 1.96 and z = -1.96.

R-codes:

1> c(qnorm(0.001/2,lower.tail = FALSE), qnorm(0.001/2)) #critical  values at alpha = 0.001
2[1]  3.29  -3.29
3> c(qnorm(0.05/2,lower.tail = FALSE), qnorm(0.05/2)) #critical  values at alpha = 0.05
4[1]  1.96 -1.96
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS