Question

In order to estimate the proportion of university students who need a dental treatment, a sample of 25 students selected at random revealed that 150 of them need some dental treatment. Use 95% Confidence level to answer the following: a. What is the point estimate for the population proportion? b. Compute the Standard error of the proportion. c. What is the critical value used for this estimate? d. What is the total error E? e. What is the minimum and the maximum values for your Interval Estimate? Note: Use the following format to present your answers: fill the banks and use no extra spaces and add no other wordings to what is given in the format: Point estimate=……, Standard error=……, Critical value=……, Total error=……, Minimum value=……, Maximum value=…. For example: Point estimate=6.44, Standard error=0.66, Critical value=1.65, Total Error=0.55, Minimum value=77.01, Maximum value=107.09

Answer 1

a) Point estimate of population proportion = sample proportion = p = 25/150 = 0.167

b) Standard Errror of Proportion =

c) Critical value of the estimate for 95% confidence =

d) Total error = E = critical value * Standard Errror

= 1.96 * 0.0305

= 0.0598

e) Minimum value of the interval estimate = point estimate of proportion - Total errror = 0.167 - 0.0598 =0.1072

Maximum value of the interval estimate = point estimate of proportion + Total errror = 0.167 + 0.0598 = 0.2268