Question

You are conducting a study to see if the proportion of women
over 40 who regularly have mammograms is significantly different
from 0.49. You use a significance level of α=0.002α0.002.

H0:p=0.49H0p0.49

H1:p≠0.49H1p0.49

You obtain a sample of size n=318n318 in which there are 182
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 =

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 proportion of women over 40 who regularly have mammograms is different from 0.49.
- There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.49.
- The sample data support the claim that the proportion of women over 40 who regularly have mammograms is different from 0.49.
- There is not sufficient sample evidence to support the claim that the proportion of women over 40 who regularly have mammograms is different from 0.49.

Answer #1

You are conducting a study to see if the proportion of women
over 40 who regularly have mammograms is significantly less than
0.84. You use a significance level of α=0.05α=0.05.
H0:p=0.84H0:p=0.84
H1:p<0.84H1:p<0.84
You obtain a sample of size n=161n=161 in which there are 122
successes.
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 p-value leads to a decision to......

Question 3
You are conducting a study to see if the proportion of women
over 40 who regularly have mammograms is significantly different
from 0.12. You use a significance level of α=0.05.
H0:p=0.12
H1:p≠0.12
You obtain a sample of size n=229 in which there are 23
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...

You are conducting a study to see if the proportion of women
over 40 who regularly have mammograms is significantly less than
0.24. You use a significance level of ?=0.05.
H0:p=0.24
H1:p<0.24
You obtain a sample of size n=536 in which there are 123
successes.
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) ?? or greater than ??
This p-value leads to a decision...

You are conducting a study to see if the proportion of men over
50 who regularly have their prostate examined is significantly
different from 0.6. You use a significance level of
α=0.005α=0.005.
H0:p=0.6H0:p=0.6
H1:p≠0.6H1:p≠0.6
You obtain a sample of size n=489n=489 in which there are 262
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...

You are conducting a study to see if the proportion of men over
50 who regularly have their prostate examined is significantly more
than 0.16. You use a significance level of α=0.10α=0.10.
H0:p=0.16H0:p=0.16
H1:p>0.16H1:p>0.16
You obtain a sample of size n=497n=497 in which there are 93
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...

You are conducting a study to see if the proportion of men over
50 who regularly have their prostate examined is significantly
different from 0.22. You use a significance level of
α=0.002α=0.002.
H0:p=0.22H0:p=0.22
H1:p≠0.22H1:p≠0.22
You obtain a sample of size n=532n=532 in which there are 144
successes.
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 p-value leads to a...

You are conducting a study to see if the proportion of men over
50 who regularly have their prostate examined is significantly
different from 0.4. You use a significance level of
α=0.002α=0.002.
H0:p=0.4H0:p=0.4
H1:p≠0.4H1:p≠0.4
You obtain a sample of size n=247n=247 in which there are 92
successes.
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 α
This p-value leads to...

You are conducting a study to see if the proportion of men over
50 who regularly have their prostate examined is significantly
different from 0.13. You use a significance level of
α=0.01α=0.01.
H0:p=0.13H0:p=0.13
H1:p≠0.13H1:p≠0.13
You obtain a sample of size n=289n=289 in which there are 45
successes.
1) What is p-value?
2) The p-value is...
less than (or equal to) αα
greater than α
3)This p-value leads to a decision to...
reject the null
accept the null
fail to reject...

You are conducting a study to see if the proportion of men over
50 who regularly have their prostate examined is significantly more
than 0.67. You use a significance level of α = 0.005 α = 0.005 . H
0 : p = 0.67 H 0 : p = 0.67 H 1 : p > 0.67 H 1 : p > 0.67 You
obtain a sample of size n = 205 n = 205 in which there are 148
successes....

HW #42 #5
You are conducting a study to see if the proportion of men over
50 who regularly have their prostate examined is significantly less
than 0.32. You use a significance level of α=0.002α=0.002.
H0:p=0.32H0:p=0.32
HA:p<0.32HA:p<0.32
You obtain a sample of size n=372n=372 in which there are 96
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...

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