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Statistics / The Practice of Statistics 5 / Chapter 8 / Problem R8.3

The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor

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We love football! A recent Gallup Poll conducted telephone interviews with a random

Chapter 8, Problem R8.3

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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 nothing about 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 the conditions for constructing a confidence interval for p. (c) Construct a 95% confidence interval for p. (d) Interpret the interval in context.

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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 nothing about 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 the conditions for constructing a confidence interval for p. (c) Construct a 95% confidence interval for p. (d) Interpret the interval in context.

ANSWER:

Step 1 of 4

(a)P represent the population proportion and thus in this cap p is the proportion of the adult age and older than that think that their favorite sport to watch on television is football.

The is based on a part of the population and this part of the population might have a different opinion than the entire population. However we do expect the true percentage to be near the

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