Question

You wish to test the following claim (H1) at a significance
level of α=0.10.

Ho:p=0.33

H1:p≠0.33

You obtain a sample of size n=357 in which there are 146 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
four decimal places.)

p-value =

The p-value is...

- less than (or equal to) αα
- greater than αα

This test statistic leads to a decision to...

- reject the null
- accept the null
- fail to reject the null

As such, the final conclusion is that...

- There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.33.
- There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.33.
- The sample data support the claim that the population proportion is not equal to 0.33.
- There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.33.

Answer #1

The statistical software output for this problem is :

Test statistics = 3.173

P-value = 0.0015

The p-value is less than (or equal to) α

reject the null

There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.33.

You wish to test the following claim (H1H1) at a significance
level of α=0.05
Ho:p=0.71
H1:p≠0.71
You obtain a sample of size n=567 in which there are 394 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
four decimal places.)
p-value =
The p-value is...
less than (or equal to) αα
greater than αα
This test statistic leads...

You wish to test the following claim (Ha) at a significance
level of α=0.10
Ho:p=0.46
Ha:p>0.46
You obtain a sample of size n=648in which there are 322 successful
observations.
Determine the test statistic formula for this test.
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 =
The p-value is...
less than (or equal to) αα...

You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
Ho:p=0.22Ho:p=0.22
Ha:p≠0.22Ha:p≠0.22
You obtain a sample of size n=536n=536 in which there are 146
successful observations.
Determine the test statistic formula for this test.
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 =
The p-value is...
less than (or equal to)...

You wish to test the following claim (HaHa) at a significance
level of α=0.01
Ho:p=0.89
Ha:p<0.89
You obtain a sample of size n=526 in which there are 461 successful
observations.
Determine the test statistic formula for this test.
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 =
The p-value is...
less than (or equal to)...

You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001.
Ho:p=0.58Ho:p=0.58
Ha:p≠0.58Ha:p≠0.58
You obtain a sample of size n=720n=720 in which there are 455
successful observations.
Determine the test statistic formula for this test.
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 =
The p-value is...
less than (or equal to)...

You wish to test the following claim (H1H1) at a significance
level of α=0.02α=0.02.
Ho:p=0.4Ho:p=0.4
H1:p>0.4H1:p>0.4
You obtain a sample of size n=327 in which there are 150
successful observations.
The p-value for this test is (assuming HoHo is true) the
probability of observing...
at most 150 successful observations
at least 150 successful observations
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
less than (or equal to) αα
greater than...

You wish to test the following claim (H1H1) at a significance
level of α=0.005α=0.005.
Ho:p=0.21Ho:p=0.21
H1:p<0.21H1:p<0.21
You obtain a sample of size n=729n=729 in which there are 140
successful observations.
The p-value for this test is (assuming HoHo is true) the
probability of observing...
at most 140 successful observations
at least 140 successful observations
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
less than (or equal to) αα
greater...

You wish to test the following claim (HaHa) at a significance
level of α=0.02α0.02.
Ho:p=0.22Hop0.22
Ha:p<0.22Hap0.22
You obtain a sample of size n=167n167 in which there are 22
successful observations. For this test, you should NOT use the
continuity correction, and you should use the normal distribution
as an approximation for the binomial distribution.
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...

You wish to test the following claim a significance level of
α=0.005.
Ho:p=0.71
Ha:p≠0.71
You obtain a sample of size n=164 in which there are 111
successful observations.
What is the test statistic for this sample?
test statistic = Round to 3 decimal places.
What is the p-value for this sample?
P-value = Use Technology Round to 4 decimal
places.
The p-value is...
less than (or equal to) αα
greater than αα
This test statistic leads to a decision to...
reject the...

You wish to test the following claim (H1) at a significance
level of α=0.05.
Ho:p1=p2
H1:p1>p2
You obtain 43.1% successes in a sample of size n1=800from the first
population. You obtain 33.1% successes in a sample of size n2=236
from the second population.
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 =
The p-value is......

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