A survey of 2250 randomly selected UJ students revealed that 1130 use social media. a) Find and interpret a 97% lower confidence bound for the proportion of students that uses social media.  b) Use the confidence bound in a) to estimate whether it is plausible that half of all UJ students use social media.  c) If it is believed that at least 45% of UJ students use social media, what sample size is necessary so that the population proportion is estimated to within 0.025 with 97% confidence.

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A survey of 2250 randomly selected UJ students revealed that 1130 use social media.
a) Find and interpret a 97% lower confidence bound for the proportion of students that uses
social media. 
b) Use the confidence bound in a) to estimate whether it is plausible that half of all UJ
students use social media. 
c) If it is believed that at least 45% of UJ students use social media, what sample size is
necessary so that the population proportion is estimated to within 0.025 with 97%
confidence. 
d) What theorem justifies your calculation in c

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