Sam did a survey and found out that 92% of all seniors are ready to graduate and leave for college. She decided to then look strictly at PHS and the 78 seniors. Sam wants to have a 90% chance of being correct on the most number of people that answer that they are ready to graduate and leave for college. What number of people should she expect at most to answer?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
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Sam did a survey and found out that 92% of all seniors are ready to graduate and leave for college. She decided to then look strictly at PHS and the 78 seniors. Sam wants to have a 90% chance of being correct on the most number of people that answer that they are ready to graduate and leave for college. What number of people should she expect at most to answer?
Expert Solution
Step 1

From the provided information,

92% of all seniors are ready to graduate and leave for college that is p = 0.92

Sample size (n) = 78

The mean and standard deviation can be obtained as:

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