Hi

A poll was taken of 500 College graduates. 

The college graduates sampled were asked whether Americans feel satisfied with their lives; 

350 responded “very satisfied” Use this date to obtain a 97% confidence

 interval for the corresponding population proporation, p. 

p-hat = 350/500 = .7

97% confidence then z = 2.1701

ME =  2.1701*sqrt[0.7*0.3/500] = 0.04447

97%CI: 0.7-0.04447 < p < 0.7+0.04447

97%CI: 0.6555< p < 0.7448



Summary of other critical regions

	a	a/2	crtical regions	

90%	0.1	5%	z <-1.645	z >+1.645

95%	0.05	2.50%	z <-1.96	z >+1.96

98%	0.02	1%	z <-2.33	z >+2.33

99%	0.01	0.50%	z<-2.575	z >+2.575

 

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