1. A sample of 500 workers revealed that 175 people planned to buy a new home in Proton City.

a) What is the point estimate of the population proportion of the workers who are planning to buy a new home?

b) Calculate the standard error for this sampling distribution.

c) Construct a 99 per cent confidence interval for the proportion of the workers who are planning to buy a new home.

2.Assume that the initial samples of 200 single unit calculator show that 9% are not functioning properly. How many calculators to be selected by the company using 90% level of confidence interval if the error will be within 0.02 of the proportion of the population?

Reference :

*Z & T -table distribution

https://drive.google.com/file/d/1nfSbQHR6k8Ri5ipEPBM1-4ZpLiMfKsvC/view?usp=sharing

Confidence Interval for Confidence Interval for Mean Proportion Sample Size When n > 30 or o is known Infinite @ n/N 30 or o is known Finite @ n/N > 0.05 To find the sample size for proportion: Xtz- N -n 2 Jn VN-1 Z n = p(1- p) F T Distribution - when n