An April 2014 poll of 2300 U. S. adults found that 43% regularly watch television shows through streaming. Required:
a. Find a 99% confidence interval and interpret it in context. If the survey had been of 5000 adults rather than 2300, would the interval be wider or narrower

a

  The confidence interval is  

Generally the 95% confidence interval mean that there is 95% confidence that the true proportion of  US adults who regularly watch television shows through streaming fall within the confidence interval

As the sample size increase from 2300 to  5000 the confidence interval  becomes narrower  

Step-by-step explanation:

From the question we are told that

   The sample  proportion is  

   The sample size is  n  =  2300

From the question we are told the confidence level is  95% , hence the level of significance is    

=>  

Generally from the normal distribution table the critical value  of   is  

Generally the margin of error is mathematically represented as  

=>    

=>      

Generally 95% confidence interval is mathematically represented as  

=>  

=>  

Generally the 95% confidence interval mean that there is 95% confidence that the true proportion of  US adults who regularly watch television shows through streaming fall within the confidence interval

Now when the sample size is increase to  5000  the margin of error becomes

=>    

=>                    

So  as we can see hence the confidence interval  becomes narrower

pi x^2

step-by-step explanation:

pi times x squared