A controversial bill is being debated in the state legislature. Representative Williams wants to estimate within 2 percentage points and with 95% confidence the difference in the proportion of her male and female constituents who favor the bill. What sample size should she obtain?

The sample size is  

Step-by-step explanation:

From the question we are told that

    The margin of  error is  

Given that the  confidence level is  95% then the level of significance is mathematically evaluated as

The  critical value of  obtained from the normal distribution table is    

Let assume that the sample proportion is  

 Generally the sample size is evaluated as