1. A recent poll was conducted by the Gallup organizationbetween April 2nd and April 8th, 2018. A total of 785 Facebookusers living in the U.S. were selected using random digit dialingand were interviewed over the phone (either landline or cellphone). Respondents were asked the following question: “Howconcerned are you about invasion of privacy when using Facebook?Very concerned, somewhat concerned, not too concerned or notconcerned.” 43% of those selected said “very concerned”. Suppose wewant to study the proportion of all Facebook users who are “veryconcerned” about the invasion of privacy.

a) Define the parameter of interest in the context of theproblem (include the symbol used to denote it).

b) What is the statistic in this problem (include the symbolused to denote it)?

c) Check the assumptions necessary to construct a normal-basedconfidence interval for the parameter of interest by verifying theappropriate conditions. Actually show that you checked these in thecontext of the problem.

d) Find the margin of error if we want 95% confidence in ourestimate of the parameter of interest.

e) Find the 95% confidence interval for the parameter ofinterest.

f) In the context of the problem, give a conclusion based on theconfidence interval you found in part e. Your sentence should startwith the words “We are 95% confident that……”