Determining the standard error of students

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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

Reference no: EM1319597

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