Question
I need help with the following questions 1: Hypothesis Test Test the claim that the proportion of men who own cats is smaller than 40%
I need help with the following questions
1:
Hypothesis Test
Test the claim that the proportion of men who own cats is smaller than 40% at the .10 significance level. The test is based on a sample of 60 people, 33% owned cats.
The test statistic is:(to 2 decimals)
The critical value is:(to 2 decimals)
___________________________________________________________
2
You wish to test the following claim (H
a
Ha
) at a significance level of
=0.05
.
Ho:p=0.66
Ha:p<0.66
You obtain a sample of sizen
=
472
n=472
in which there are 301 successful observations.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to three decimal places.)
p-value =
___________________________________________________________
3
Testing Claims
You wish to test the following claim (H
a
Ha
) at a significance level of
=0.05
.
Ho:p=0.37
Ha:p<0.37
You obtain a sample of sizen
=
271
n=271
in which there are 80 successful observations.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to three decimal places.)
p-value =
___________________________________________________________
4
Testing Claims
You wish to test the following claim (H
a
Ha
) at a significance level of
=0.02
Ho:p=0.42
Ha:p>0.42
You obtain a sample of size
n=376
in which there are 164 successful observations.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to three decimal places.)
p-value =
___________________________________________________________
5
You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.81. You use a significance level
=0.01
H0:p=0.81
H1:p0.81
You obtain a sample of size n=420
in which there are 366 successes.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
___________________________________________________________
6
A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 400 people, 42% of them said they are confident of meeting their goals.
Test the claim that the proportion of people who are confident is smaller than 50% at the 0.01 significance level.
The test statistic is:(to 3 decimals)
The p-value is:(to 4 decimals)
___________________________________________________________________________
7
A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 400 people, 42% of them said they are confident of meeting their goals.
Test the claim that the proportion of people who are confident is smaller than 50% at the 0.01 significance level.
The null and alternative hypothesis would be:
The test statistic is:(to 3 decimals)
The p-value is:(to 4 decimals)
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started