The research group asked the following question of individuals who earned in excess of $100,000 per year and those who earned less than $100,000 per year: "Do you believe that it is morally wrong for unwed women to have children?" Of the individuals who earned in excess of $100,000 per year, said yes; of the individuals who earned less than $100,000 per year, said yes. Construct a 95% confidence interval to determine if there is a difference in the proportion of individuals who believe it is morally wrong for unwed women to have children.

Complete Question

The complete question is shown on the first uploaded image

The  lower bound is  

The  upper bound is  

So from the value obtained the solution to the question are

  1  Does not include

  2 sufficient

 3  not different  

Step-by-step explanation:

From the question we are told that

The  sample size of  individuals who earned in excess of $100,000 per year is  

The  number of  individuals who earned in excess of $100,000 per year  that said yes is

The  sample size  individuals who earned less than $100,000 per year is

The  number of  individuals who earned less than $100,000 per year that said yes is

The sample proportion of  individuals who earned in excess of $100,000 per year  that said yes is

substituting values

The sample proportion of  individuals who earned less than $100,000 per year that said yes is

substituting values

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

 Next we obtain the critical value of   from the normal distribution table the value is  

    Generally the margin of error is  

substituting values

Generally the 95% confidence interval is  

substituting values

The  lower bound is  

The  upper bound is  

So from the value obtained the solution to the question are

  1  Does not include

  2 sufficient

 3  not different  

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