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In+a+survey+conducted+on+an+srs+of+200+american+adults,+72%+of+them+said+they+believed+in+aliens. +give+a+95%+confidence+interval+for+percent+of+american+adults+who+believe+in+aliens

Sagot :

Based on the size of the sample, the 95% confidence interval for American adults who believe in aliens is (0.6577719, 0.7822281).

What is the confidence interval?

With a 95% interval, we can find the Z score using the Z table to be 1.96.

The 95% interval here would therefore be:

Lower limit:

= (Proportion that believes in Aliens - 1.96 x √((Proportion that believes in aliens x Percentage that doesn't)) / Sample size

= 0.72 - 1.96 x √((0.72 * 28) / 200)

= 0.6577719

Upper limit:

=  0.72 + 1.96 x √((0.72 * 28) / 200)

= 0.7822281

Find out more on confidence intervals at https://brainly.com/question/16974109.