U5D2 Ch.Y.U. - Sampling Proportions & Differences in Sample Proportions

Last updated 7 months ago

7 questions

According to the American Dental Association, 8% of adults have never had a cavity. A dental graduate student contacts an SRS of 1000 adults and calculates the proportion
 in this sample who have never had a cavity.

Calculate the mean and standard deviation of the sampling distribution of
.

mean = _______  
standard deviation = _______ 

Is the sampling distribution of
approximately Normal? Show work.
(Check shape)

Find the probability that the random sample of 1000 adults will give a result within 2 percentage points of the true proportion.

If the sample size were 9000 rather than 1000, how would this change the shape, center, and variability of the sampling distribution of 
?

Shape = _______ 
Center = _______ 
Variability (S.D.) = _______ 

At Westville High School there are 315 seniors and 389 juniors. 65% of the seniors have parking passes and 42% of the juniors have parking passes. The statistics teacher selects an SRS of 30 seniors and a separate SRS of 30 juniors. 
Let 
 be the difference in the sample proportions of seniors and juniors that have parking passes.

U5D2 Ch.Y.U. - Sampling Proportions & Differences in Sample Proportions

Is the sampling distribution of
approximately Normal? Show work.
(Check shape)

Find the probability that the random sample of 1000 adults will give a result within 2 percentage points of the true proportion.

What is the shape of the sampling distribution of
? Why?

Find the mean and standard deviation of the sampling distribution of

What is the probability that the difference in sample proportions
(senior – junior) of students with parking passes is greater than 30%?

U5D2 Ch.Y.U. - Sampling Proportions & Differences in Sample Proportions

Is the sampling distribution of approximately Normal? Show work.(Check shape)

Find the probability that the random sample of 1000 adults will give a result within 2 percentage points of the true proportion.

What is the shape of the sampling distribution of ? Why?

Find the mean and standard deviation of the sampling distribution of

What is the probability that the difference in sample proportions (senior – junior) of students with parking passes is greater than 30%?

Is the sampling distribution of
approximately Normal? Show work.
(Check shape)

What is the shape of the sampling distribution of
? Why?

What is the probability that the difference in sample proportions
(senior – junior) of students with parking passes is greater than 30%?