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In: Statistics and Probability

In a survey of 900 American adults, 351 said that their favorite sport was football. Construct...

In a survey of 900 American adults, 351 said that their favorite sport was football. Construct a 95% confidence interval for the population of American adults who say that their favorite sport is football. (round confidence interval values to two decimal places)

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Expert Solution

Let x be the number of adults said that their favorite sport was football.

In the given study, the number of American adults participated in the survey (n) is 900. Out of 900, 351 said that their favorite sport was football

The estimated proportion of adults said that their favorite sport was football is:

The confidence level (c) is 0.95. So, the ssignificance level is given by,

  

Using the standard normal table, the two critical value obtained at 0.05 level of significance is +/- 1.96.

The 95% confidence interval for the population of American adults who say that their favorite sport is football can be calculated as,

Thus, 95% confidence interval for the population of American adults who say that their favorite sport is football is (0.36, 0.42).

orchestra answered 11 months ago
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