Question

You wish to test the following claim (HaHa) at a significance
level of ?=0.002.

Ho:p=0.18

Ha:p?0.18

You obtain a sample of size n=435 in which there are 73 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 answer accurate to
four decimal places.)

p-value =

The p-value is...

less than (or equal to) ??

greater than ??

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 0.18.

There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.18.

The sample data support the claim that the population proportion is not equal to 0.18.

There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.18.

Answer #1

a) The test statistic here is computed as:

**Therefore -0.661 is the test statistic value
here.**

b) As this is a two tailed test, the p-value is obtained from the standard normal tables as:

p = 2P( Z < -0.661 ) = 2*0.2542 = 0.5084

**Therefore 0.5084 is the required p-value
here.**

c) The p-value here is 0.5084 > 0.002 which is the level of
significance. **Therefore the p-value is greater than
**

d) The test is not significant as the p-value is higher,
**therefore fail to reject the null hypothesis
here.**

e) **Therefore as the test is not significant,
t**here is not sufficient sample evidence to support the
claim that the population proportion is not equal to 0.18.

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 ?=0.01.
Ho:p=0.3
Ha:p<0.3
You obtain a sample of size n=452 in which there are 128 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 (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 (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 (HaHa) at a significance
level of α=0.01α=0.01.
Ho:p=0.14Ho:p=0.14
Ha:p<0.14Ha:p<0.14
You obtain a sample of size n=709n=709 in which there are 94
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 (HaHa) at a significance
level of α=0.05α=0.05.
Ho:p=0.76Ho:p=0.76
Ha:p≠0.76Ha:p≠0.76
You obtain a sample of size n=624n=624 in which there are 448
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 critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this...

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:p=0.14Ho:p=0.14
Ha:p≠0.14Ha:p≠0.14
You obtain a sample of size n=591n=591 in which there are 106
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 critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this...

HW #42 #2
You wish to test the following claim (HAHA) at a significance
level of α=0.05α=0.05.
Ho:p=0.21Ho:p=0.21
HA:p≠0.21HA:p≠0.21
You obtain a sample of size n=306n=306 in which there are 45
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...

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...

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