variances. Imagine that instead of wanting increase power, or decrease type II error. F her or not to send larvae found in still water for the mosquito vector of Zika virus. You w to become a vector and spread the diseas with data behaving the way they do in the 0 test statistic 5 10 5% to 1% or lower d lower-tail hypothesis test 5% to 10% or higher cive probability of the alternate from 0.95 to ative probability of the alternate from 0.95 t

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
Question
In the figure below, the dotted vertical line indicates the upper 2.5% tail of the null
distribution, while the solid vertical line indicates the lower 2.5% tail of the alternate
distribution. The density of the null is shown in a dashed line, while the density of the
alternate is shown in a solid line. Both the null and the alternate are normal
distributions with equal variances. Imagine that instead of wanting to decrease false
positives, you wanted to increase power, or decrease type II error. For example, you
want to determine whether or not to send larvae found in still water in back yards to
an entomologist to check for the mosquito vector of Zika virus. You don't want to miss
any larvae that could grow to become a vector and spread the disease. How could you
reduce this type of error with data behaving the way they do in the plot?
probability density
In
-5
0
0.00 0.05 0.10 0.15 0.20
test statistic
5
10
Decrease alpha from 5% to 1% or lower
Switch to a one-sided lower-tail hypothesis test
Increase alpha from 5% to 10% or higher
O Increase the cumulative probability of the alternate from 0.95 to 0.99
Decrease the cumulative probability of the alternate from 0.95 to 0.90
Transcribed Image Text:In the figure below, the dotted vertical line indicates the upper 2.5% tail of the null distribution, while the solid vertical line indicates the lower 2.5% tail of the alternate distribution. The density of the null is shown in a dashed line, while the density of the alternate is shown in a solid line. Both the null and the alternate are normal distributions with equal variances. Imagine that instead of wanting to decrease false positives, you wanted to increase power, or decrease type II error. For example, you want to determine whether or not to send larvae found in still water in back yards to an entomologist to check for the mosquito vector of Zika virus. You don't want to miss any larvae that could grow to become a vector and spread the disease. How could you reduce this type of error with data behaving the way they do in the plot? probability density In -5 0 0.00 0.05 0.10 0.15 0.20 test statistic 5 10 Decrease alpha from 5% to 1% or lower Switch to a one-sided lower-tail hypothesis test Increase alpha from 5% to 10% or higher O Increase the cumulative probability of the alternate from 0.95 to 0.99 Decrease the cumulative probability of the alternate from 0.95 to 0.90
Expert Solution
steps

Step by step

Solved in 3 steps

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