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)