Question

x

Suppose you carried out a survey with 200 respondents. 45% of the respondents answered the question of interest in a particular way and your desired confidence level was 95%.

1. Construct the confidence interval for true proportion of respondents who answered the question of interest.

2. Interpret the interval.

3. What does it mean by 95% confidence

Answer 1

The solution to this problem is given by

Solution Eriven data is Sample Size = n= goo Sample proportion = B = 0.45 (a) The 951. (I for the Populadon or tree losoportion of respondents of respondents who amsweed is given by where 2x = 1.96 + - P (16) 0:45+ 1.96 60.45)11-0.45) > 0.45 + 0.067 10.45-0.067, 0.45 + 0.067 J c.0.383, 0.517) Interpretation We are 95% confident that the true proportion of respondente who aresweld the question would be between C.0.383 and 0.517 95% confidence means, if we take samble large times, then 95% of them same lodaulation preportion as shown she goo shouls above.