A random sample of 1200 Freshmen at UGA were asked if they had applied for stude

Question

A random sample of 1200 Freshmen at UGA were asked if they had applied for student football tickets. The proportion who answered yes was 0.84. The standard error of this estimate is 0.011 (a) Find the margin of error for a 95% confidence interval for the population proportion who applied for football tickets. (3 decimal places) (D) Construct the 95% corndence interval. (3 decimal places) (3 decimal places) Upper Lim (e) Since the sample was randomly selected, will this confidence interval be valia - Yes because the sample size is greater than 30. Yes because at least one of (1200).(0.84) and (1200)"(1 .,54) is greater then 30. - Yes because at least one of (1200)*(0.34) ang (1200) *(1-0.84) l oreater than 15 Yes because both (1200) (0.84) and (1200)-(1-0.84) are greater than 15 None of these. (d) Using the above confidence interval, what can you say about the true population propertion If we were to take many samples ike this, and calculate a 99% condence interval sor each one, aoonamately 9S% er these men als we are 95% cont dent that the sample proportion is in this interval. 0

Explanation / Answer

Ans:

a)Margin of error=1.96*0.011=0.022

b)95% confidence interval for p

=0.84+/-0.022

=(0.818, 0.862)

c)Yes ,beacuse both 1200*0.84 and 1200*(1-0.84) are greater than 15.

d)if we were to take many sample like this and calculate 95% CI for each one,approximately 95% of these intervals would contain the true population proportion.

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