In a recent survey, a random sample of Ohio football fans was asked to indicate whether they believe the Cleveland Browns are a better football team than the Cincinnati Bengals. Based on the proportion who answered "yes" to this question, a 95% confidence interval was constructed, and this interval was from 0.48 to 0.56. From this information, we can conclude that O the population proportion may or may not be between 0.48 and 0.54. O less than half of the sample said the Cleveland Browns are a better football team. O the margin of error is larger than 0.05. O if you randomly select one Ohio football fan, there is a 95% chance that fan will think the Cleveland Browns are a better team than the Cincinnati Bengals. O there is a 5% chance a mistake was made when constructing the confidence interval.

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Author:Amos Gilat
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In a recent survey, a random sample of Ohio football fans was asked to indicate whether they believe the
Cleveland Browns are a better football team than the Cincinnati Bengals. Based on the proportion who
answered "yes" to this question, a 95% confidence interval was constructed, and this interval was from 0.48
to 0.56. From this information, we can conclude that
O the population proportion may or may not be between 0.48 and 0.54.
O less than half of the sample said the Cleveland Browns are a better football team.
O the margin of error is larger than 0.05.
O if you randomly select one Ohio football fan, there is a 95% chance that fan will think the Cleveland Browns
are a better team than the Cincinnati Bengals.
O there is a 5% chance a mistake was made when constructing the confidence interval.
Transcribed Image Text:In a recent survey, a random sample of Ohio football fans was asked to indicate whether they believe the Cleveland Browns are a better football team than the Cincinnati Bengals. Based on the proportion who answered "yes" to this question, a 95% confidence interval was constructed, and this interval was from 0.48 to 0.56. From this information, we can conclude that O the population proportion may or may not be between 0.48 and 0.54. O less than half of the sample said the Cleveland Browns are a better football team. O the margin of error is larger than 0.05. O if you randomly select one Ohio football fan, there is a 95% chance that fan will think the Cleveland Browns are a better team than the Cincinnati Bengals. O there is a 5% chance a mistake was made when constructing the confidence interval.
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