Consider the hypothesis test: HoiH=Ho Hail # Ho A dataset of size n is collected, a test statsitic z is calculated, and then a p-value is calculated. p=2P(Zs z) Which of the following is a correct interpretation of the p-value? O The p-value is the probability that we rejected the null hypothesis correctly. O The p-value is the probability of observing a test statistic at least as extreme as ours under the assumption that the null hypothesis is true. O none of these O The p-value is the probability of observing a test statistic equal ours under the assumption that the null hypothesis is tru

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
Consider the hypothesis test:
HoiH=Ho
Hail # Ho
A dataset of size n is collected, a test statsitic z is calculated, and then a p-value is calculated.
p=2P(Z<z)
Which of the following is a correct interpretation of the p-value?
O The p-value is the probability that we rejected the null hypothesis correctly.
O The p-value is the probability of observing a test statistic at least as extreme as ours under the assumption that the null
hypothesis is true.
none of these
The p-value is the probability of observing a test statistic equal ours under the assumption that the null hypothesis is true.
The p-value is the probability of observing a test statistic closer to the true population mean that what was observed.
O The p-value is the probability that the true population mean is in our interval.
Transcribed Image Text:Consider the hypothesis test: HoiH=Ho Hail # Ho A dataset of size n is collected, a test statsitic z is calculated, and then a p-value is calculated. p=2P(Z<z) Which of the following is a correct interpretation of the p-value? O The p-value is the probability that we rejected the null hypothesis correctly. O The p-value is the probability of observing a test statistic at least as extreme as ours under the assumption that the null hypothesis is true. none of these The p-value is the probability of observing a test statistic equal ours under the assumption that the null hypothesis is true. The p-value is the probability of observing a test statistic closer to the true population mean that what was observed. O The p-value is the probability that the true population mean is in our interval.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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