Among a simple random sample of 331 American adults who do not have four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school. A newspaper article states that only a majority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from the survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement. (d) Would you expect a confidence interval for the proportion of Americans adults who decide not to go to college because they cannot afford it to include 0.5? (e) Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it, and interpret the interval.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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Among a simple random sample of 331 American adults who do not have four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school. A newspaper article states that only a majority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from the survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement.

(d) Would you expect a confidence interval for the proportion of Americans adults who decide not to go to college because they cannot afford it to include 0.5?

(e) Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it, and interpret the interval.

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