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,)
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
Related questions
Question

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

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.)
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