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Use the following information to answer the next eight exercises: The Higher Education Research Institute at UCLA collected data from203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in theU.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status.

On average(), how many would you expect to answer yes?

Short Answer

Expert verified

The average number of freshmen answering yes is5.704~5.

Step by step solution

01

Given information

Samplesize,n=8Theporportionofstudentswhosaidyestohavetherighttolegalmartialstatus=71.3%

02

Explanation

The average number of students who would answer yes is calculated by

=np

wherenis the number of trials andpis the probability of success.

p=0.713

localid="1649834849613" =8*0.713=5.7045

As a result, the predicted number of freshmen who say yes is 5.704, which is roughly equal to5.

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