Question

A simple random sample of size n equals 400 individuals who are currently employed is asked if they work at home at least once per week. Of the 400

employed individuals surveyed, 41 responded that they did work at home at least once per week. Construct a 99% confidence interval for the population proportion of employed individuals who work at home at least once per week.

The lower bound is_______.Round to three decimal places as needed.)

The upper bound is______.(Round to three decimal places as needed.)

Answer 1

The 99% confidence interval for the true population proportion is 0.1025+ov2 (0.015233) 0.1025+o0os (0.015165236) 0.1025+2.575(0.015165236) 0.1025+0.039050482 0.141550482 p2 0.1416 Therefore, the upper end point is p0.142 Interpretati on: We can be 99% confident that the true population proportion of employed individuals those work at home at least once per week is between 0.06345 and 0.1416. The lower boundis: 0.063 The upper bound i s 142