Q1) Student government representative at local university claims that 70% of undergraduate students favour a move to Division I in college football. Random sample of 400 undergraduate students was chosen and 250 students pointed out they favoured a move to Division I. Hint: This is binomial problem. Determine the point estimate of students that favoured the move.
i) 0.55
ii) 0.6
iii) 0.625
iv) 0.63
Q2) Determine the standard error of students that favoured the move.
i) 0.027874
ii) 0.024206
iii) 0.025122
iv) 0.025722
Q3) Determine a 99% confidence interval for true proportion of students that favoured the move.
i) 0.568345 to 0.662194
ii) 0.561556 to 0.705111
iii) 0.561214 to .725461
iv) 0.562669 to 0.687331
Q4) Based on a 99% confidence interval, can claim be rejected?
i) Yes, 70% is not within a 99% confidence interval
ii) No, 70% is within a 99% confidence interval
iii) Yes, 70% is within a 99% confidence interval
iv) No, 70% is not within a 99% confidence interval