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We love football! A recent Gallup Poll conducted telephone
Chapter , Problem R8.4(choose chapter or problem)
We love football! 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 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 cant 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. s Carry out the steps in constructing a confidence interval for a population mean: define the parameter; check conditions; perform calculations; interpret results in context.
Questions & Answers
QUESTION:
We love football! 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 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 cant 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. s Carry out the steps in constructing a confidence interval for a population mean: define the parameter; check conditions; perform calculations; interpret results in context.
ANSWER:(a) The parameter p in this setting refers to the true proportion of all adults who say that football is their favorite sport. We cannot just say that 37% of all adults would say that football is their favorite sport because the Gallup Poll interviewed a sample of adults—not all adults. Our sample may not accurately represe