Pew Research found that, in their most recent survey, 67% of Americans favored allowing same-sex couples...

Pew Research found that, in their most recent survey, 67% of Americans favored allowing same-sex couples to marry legally. This is up from 65% in 2018. The 2018 estimate was based on a random sample of 1,500 adults. Assume the same sample size was used in 2019.

A) Create and interpret a 95% confidence interval for the differnece in the proportion of all American adults who favor allowing same-sex couples to marry.

B) Does this interval provide evidence that the proportion of people who favor allowing same-sex couples to marry has increase?

Expert Solution

A)

Therefore, based on the data provided, the 95% confidence interval for the difference between the population proportions p1−p2 is −0.014<p<0.054, which indicates that we are 95% confident that the true difference between population proportions is contained by the interval (−0.014,0.054).

B.

No since 0 lies in the above interval, therefore this interval does not provide evidence that the proportion of people who favor allowing same-sex couples to marry has increased.

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orchestra answered 2 years ago

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