Question

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 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 less than 0.3.

There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.3.

The sample data support the claim that the population proportion is less than 0.3.

There is not sufficient sample evidence to support the claim that the population proportion is less than 0.3.

Answer #1

The statistical software output for this problem is:

**One sample proportion summary hypothesis
test:**

p : Proportion of successes

H_{0} : p = 0.3

H_{A} : p < 0.3

**Hypothesis test results:**

Proportion |
Count |
Total |
Sample Prop. |
Std. Err. |
Z-Stat |
P-value |
---|---|---|---|---|---|---|

p | 128 | 452 | 0.28318584 | 0.021554623 | -0.78007207 | 0.2177 |

Hence,

Test statistic = -0.780

p - Value = 0.2177

The p - value is greater than ?

Fail to reject the null

There is not sufficient sample evidence to support the claim
that the population proportion is less than 0.3. **Option
D** is correct.

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=0.01α=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 ?=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...

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=0.001α=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=0.002α=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 (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 a significance level of
α=0.01.
Ho:p=0.16
Ha:p<0.16
You obtain a sample of size n=649 in which there are 83
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 a significance level of
α=0.01.
Ho:p=0.19
Ha:p<0.19
You obtain a sample of size n=334 in which there are 49
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...

HW 42. 3
You wish to test the following claim (HAHA) at a significance
level of α=0.05α=0.05.
Ho:p=0.65Ho:p=0.65
HA:p<0.65HA:p<0.65
You obtain a sample of size n=344n=344 in which there are 195
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...

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