1.In a large population, 46% of the households own VCR's. A SRS of 100 households is to be contacted and asked if they own a
1.In a large population, 46% of the households own VCR's. A SRS of 100 households is to be contacted and asked if they own a VCR.Letp-hatbe the sample proportion who say they own a VCR.The sampling distribution ofp- hat p-hatis approximately Normal because
Group of answer choices.
There are at least 1000 households
np = 46 and n(1-p) = 54
A SRS was chosen
A large sample size like n = 100 guarantees it.
The sampling distribution of the sample proportion always has this shape.
2.In a large population, 46% of the households own VCR's. If a SRS of 100 households is to be contacted, what is the probability that more than 60 will own VCRs?
Group of answer choices
0.002
0.998
0.389
0.611
0.0012
3.In a large population, 46% of the households own VCR's. A SRS of households is to be contacted and asked if they own a VCR.Letp
^
p^be the sample proportion who say they own a VCR. Decreasing the sample size from 100 to 50 wouldmultiply the standard deviation of the sampling distribution
Group of answer choices
by a factor of 2.
by a factor of 1/2.
by a factor of 4.
by a factor of 1/4.
by a factor of2
4.In a large population, 60% of people read at least one book a week.What is the smallest sample size we can take for the sampling distribution to meet the normal condition for proportions?
Group of answer choices
25
17
100
10
5.The emergency room at a large hospital is running a trial on pain relievers. A random sample of 200 patients with minor aches receive pain reliever A.Of these patients, it was found that 177 had no aches within one hour of treatment.Another random sample of 300 patients with minor aches received pain reliever B.For this group, it was found that 120 of the patients had no aches within one hour of treatment.Describe the sampling distribution for the difference in proportion for the relief of pain for the two groups. (treatment A - treatment B)
Group of answer choices
N(.485, .036)
N(.114, .4)
Can't be determined because the normal condition is not met.
N(.485, 1.285)
6.The emergency room at Hospital X is running a trial on pain relievers. A random sample of 200 patients with minor aches receive pain reliever A.Of these patients, it was found that 177 had no aches within one hour of treatment.Another random sample of 300 patients with minor aches received pain reliever B.For this group, it was found that 120 of the patients had no aches within one hour of treatment.What is the probability that the difference in proportions from treatment A minus treatment B is greater than .5?
Group of answer choices
.339
0
7.2
.661
7.A recent study found that in a sample of 300 smooth hair dachshunds, 72 of the dogs developed Intervertebral Disc Disease (IVDD).In a separate sample of 250 wire-haired dachshunds, 18 of the dogs developed Intervertebral Disc Disease (IVDD).Is the sampling distribution for the difference of proportions between the breeds of dogs that develop IVDD approximately normal?Why?Show your work.
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