Sampling Distribution of the Sample Proportion

Question 1

A large university with over 40,000 students recently took a survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample of 250 students was selected. Let = the proportion of students in the sample who claimed to work out at least 3 times a week.What is the shape of the sampling distribution of and why?

Revolt · Accepted Answer

approximately Normal, because we would expect at least 10 success and 10 failures

Question 2

✔ 0.040.323.272

Revolt · Accepted Answer

✔ 0.04

Question 3

Question 170683

Revolt · Accepted Answer

170683

Question 4

A recent survey of the 1,800 students at a local high school revealed that 12% of the students believe that uniforms should be worn in schools. A simple random sample of 80 students is taken.

Revolt · Accepted Answer

✔ skewed right; The shape would best be described as with a mean of and a standard deviation of approximately .: skewed right; The shape would best be described as with a mean of and a standard deviation of approximately .: 0.12; The shape would best be described as with a mean of and a standard deviation of approximately .: 0.04

Question 5

0.04✔ 0.129.6216

Revolt · Accepted Answer

✔ 0.12

Question 6

Question 170687

Revolt · Accepted Answer

170687

Question 7

In the US, 77% of all teens have a TV in their bedrooms, while 59% of all teens in Spain have them. A simple random sample of 500 teens from the US and 300 from Spain are selected and all are asked whether they have a TV in their bedrooms. Let be the difference in the sample proportions of teens with a TV in their bedrooms, where is the sample proportion of US teens with a TV in their bedrooms and is the sample proportion of Spanish teens with a TV in their bedrooms.

Revolt · Accepted Answer

In random samples of size of US and Spanish teens, the will by about 0.034 from the true difference in of 0.18.: 500; In random samples of size of US and Spanish teens, the will by about 0.034 from the true difference in of 0.18.: difference in the two sample proportions; In random samples of size of US and Spanish teens, the will by about 0.034 from the true difference in of 0.18.: typically vary; In random samples of size of US and Spanish teens, the will by about 0.034 from the true difference in of 0.18.: proportions

Question 8

difference in the two sample means ✔ difference in the two sample proportionssample meanssample proportions

Revolt · Accepted Answer

✔ difference in the two sample proportions

Question 9

✔ typically varyvary exactly

Revolt · Accepted Answer

✔ typically vary

Question 10

means✔ proportions

Revolt · Accepted Answer

✔ proportions

Sampling Distribution of the Sample Proportion Answers

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