A random sample of 1003 adult Americans was asked, "Do you think televisions are a necessity or a luxury you could do without?" Of the 1003 adults surveyed, 521 indicated that televisions are a luxury they could do without. Construct and interpret a 95% confidence interval for the population proportion of adult Americans who believe that televisions are a luxury they could do without out.

The  95% confidence interval is  

The  interpretation is that there is 95% confidence that the true population proportion lie within the confidence interval

Step-by-step explanation:

From the question we are told that

    The  sample size is n  =  1003

     The number that indicated television are a luxury is  k  =  521

Generally the sample mean is mathematically represented as

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

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

The  margin of error is mathematically represented as

=>      

=>      

The  95%  confidence interval is mathematically represented as

=>  

=>    

square root

step-by-step explanation: