A random survey of 1003 adults were asked “Do you pretty much think televisions are a necessity or a luxury you could do without?” Of the 1003 adults surveyed, 521 indicated that televisions are a...

A random survey of 1003 adults were asked “Do you pretty much think televisions are a necessity or a luxury you could do without?”  Of the 1003 adults surveyed, 521 indicated that televisions are a luxury that they could do without.  A
prop.test
was run in RStudio with the following output.

1-sample proportions test with continuity correction

data:  521 out of 1003

X-squared = 1.4397, df = 1, p-value = 0.2302

alternative hypothesis: true p is not equal to 0.5

95 percent confidence interval:

 0.4880087 0.5507239

sample estimates:

        p

0.5194417

1. Write a conclusion that interprets the confidence interval.


2. prop.test also conducts a hypothesis test for a null hypothesis of p=0.5.    Write a conclusion that interprets the results of the hypothesis test, be sure to explain how you made your decision.


3. Explain what the p-value means in this context (NOT
   how the  p-value is used to assess your hypothesis test)