Question

Question 3 (1 point)

A marketing company would like to investigate how environmentally conscious young Canadians are. They are planning on taking a random sample from all Canadians of age between 18 and 34 and estimating the proportion of those who declare that they are environmentally conscious.

Suppose that the company obtained the sample summarized below.

Total number of respondents (observations)	762
Number of respondents who declare themselves as environmentally conscious.	534

They construct a 95% confidence interval = sample proportion +/- 1.96*std error = 0.701+/- 1.96*sqrt(0.701(1-0.701)/762) = [0.668, 0.733]

They can say:

The probability that the true proportion of environmentally conscious people among young Canadians falls in the confidence interval [0.668, 0.733] is either 0 or 1.

Question 3 options:

	True
	False

Question 4 (1 point)

A marketing company would like to investigate how environmentally conscious young Canadians are. They are planning on taking a random sample from all Canadians of age between 18 and 34 and estimating the proportion of those who declare that they are environmentally conscious.

Suppose that the company obtained the sample summarized below.

Total number of respondents (observations)	762
Number of respondents who declare themselves as environmentally conscious.	534

They construct a 95% confidence interval = sample proportion +/- 1.96*std error = 0.701+/- 1.96*sqrt(0.701(1-0.701)/762) = [0.668, 0.733]

They can say: with probability .95, the true proportion of environmentally conscious people among young Canadians is between 0.668 and 0.733.

Question 4 options:

	True
	False

Answer 1

Given : n=762 , x=534

The sample proportion , p=x/n=534/762=0.701

Therefore , the 95% confidence interval is ,

3)

The probability that the true proportion of environment conscious people among young Canadians falls in the confidence interval [ 0.0668 , 0.733 ] is either 0 or 1.

The given statement is false , Because there is 95% confidence interval.

Therefore , there are 0.95 probability that the true proportion fall in the given confidence interval

4)

We can say that , with probability 0.95 , the true proportion of environmentally conscious people among young Canadians is between 0.668 and 0.733.

The given statement is true , Because there is 95% confidence interval.