We take a random sample of 430 voters in Washington County and ask if will vote for candidate x (We'll call her Ms. Peanut). Out of the 430 respondents, 246 say they plan to vote for Ms. Peanut and the rest say they will not. Do we have enough evidence to say that Ms. Peanut has more than 50% of the population of Washington County planning to vote for her (at alpha=.05)? a) Set up the null and alternative (one-sided) hypothesis for a one-sample z-test for this problem. b) Use the formula below to calculate the z-statistic. Remember that p-hat is the proportion from your sample and po is your hypothesized proportion, .50 (or 50% as a percentage). Show your work or describe the process for calculating the z-statistic. c) What is the one-tailed critical value for a one-sided z-test? (see table below). Compare this value to the z-statistic from part b. Can we reject the null at alpha=.05? How do you know? p - P. Z = 2,( 1 - P,)

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
0.674 0.841
1.036
1.282
1.645
1.960
2.054
2.326
2.576
2.807
3.091
3.291
One-sided P
.25
.20
.15
.10
.05
.025
.02
.01
.005
.0025
.001
.0005
Two-sided P
.50
.40
.30
.20
.10
.05
.04
.02
.01
.005
.002
.001
Transcribed Image Text:0.674 0.841 1.036 1.282 1.645 1.960 2.054 2.326 2.576 2.807 3.091 3.291 One-sided P .25 .20 .15 .10 .05 .025 .02 .01 .005 .0025 .001 .0005 Two-sided P .50 .40 .30 .20 .10 .05 .04 .02 .01 .005 .002 .001
We take a random sample of 430 voters in Washington County and ask if will vote for
candidate x (We'll call her Ms. Peanut). Out of the 430 respondents, 246 say they plan to
vote for Ms. Peanut and the rest say they will not. Do we have enough evidence to say that
Ms. Peanut has more than 50% of the population of Washington County planning to vote for
her (at alpha=.05)?
a) Set up the null and alternative (one-sided) hypothesis for a one-sample z-test for this
problem.
b) Use the formula below to calculate the z-statistic. Remember that p-hat is the proportion
from your sample and po is your hypothesized proportion, .50 (or 50% as a percentage).
Show
your work or describe the process for calculating the z-statistic.
c) What is the one-tailed critical value for a one-sided z-test? (see table below). Compare
this value to the z-statistic from part b. Can we reject the null at alpha=.05? How do you
know?
p - P.
z =
P(1 - P.)
Transcribed Image Text:We take a random sample of 430 voters in Washington County and ask if will vote for candidate x (We'll call her Ms. Peanut). Out of the 430 respondents, 246 say they plan to vote for Ms. Peanut and the rest say they will not. Do we have enough evidence to say that Ms. Peanut has more than 50% of the population of Washington County planning to vote for her (at alpha=.05)? a) Set up the null and alternative (one-sided) hypothesis for a one-sample z-test for this problem. b) Use the formula below to calculate the z-statistic. Remember that p-hat is the proportion from your sample and po is your hypothesized proportion, .50 (or 50% as a percentage). Show your work or describe the process for calculating the z-statistic. c) What is the one-tailed critical value for a one-sided z-test? (see table below). Compare this value to the z-statistic from part b. Can we reject the null at alpha=.05? How do you know? p - P. z = P(1 - P.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

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