Question

Collect the Data

1.                  Survey several (up to 30) students from Clemson University , asking them if they were born in this state. Let X = the number that were born in this state.

X= 17

N=13

1.                   Fill in the blanks on the graph with the area in each section. Then, fill in the number line with the upper and lower limits of the confidence interval and the sample proportion.

8. Fill in the table:

Confidence Level	EBP	Confidence Interval
50%
80%
95%
99%

9. What happens to the EBP as the confidence level increases? Does the width of the confidence interval increase or decrease? Explain why this happens.

Answer 1

the point estimate for the proportion of the number that was born in this state:

n=30

The error bound for proportion :

Confidence Level		EBP	Confidence Interval
50%	0.6745	0.061	(0.506 , 0.628)
80%	1.2816	0.116	(0.451 , 0.683)
95%	1.96	0.177	( 0.39 , 0.744)
99%	2.576	0.233	(0.334 , 0.8)

9)As the confidence level increases, the EBP increases.

the relationship between confidence level and EBP contradictory to many students because they are confusing accuracy (confidence level) and precision (EBP). If you want to be surer of hitting a target with a spotlight, then you make your spotlight bigger.