Carry out the steps in constructing a confidence interval

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Carry out the steps in constructing a confidence interval for a population proportion: define the parameter; check conditions; perform calculations; interpret results in context.

A recent Gallup Poll conducted telephone interviews with a random sample of adults aged 18 and older. Data were obtained for 1000 people. Of these, 37% said that the football is their favorite sport to watch on television.

(a) Define the parameter p in this setting. Explain to someone who knows no statistics why we can't just say that 37% of all adults would say that football is their favorite sport to watch on television.

(b) Check conditions for constructing a confidence interval for p.

(c) Construct a 95% confidence interval for p.

(d) Interpret the interval in context.

Please show ALL of your work. The best answer with the most detail will be selected and awarded points.

Reference no: EM13622504

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