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Science-Related Homework Help Statistics and Probability Topic started by: gcd99br on Aug 31, 2019



Title: Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry ...
Post by: gcd99br on Aug 31, 2019
Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry legally. This is up from 48% in 2012. The 2013 estimate was based on a random sample of 1,501 adults. Assume the same sample size was used in 2012. ["Changing Attitudes on Gay Marriage," Pew Internet and American Life Project, June 2013.]

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


Title: Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry ...
Post by: vvnluu on Aug 31, 2019
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Title: Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry ...
Post by: gcd99br on Aug 31, 2019
Brilliant


Title: Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry ...
Post by: SalaDinHo on Aug 31, 2019
Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry legally. This is up from 48% in 2012. The 2013 estimate was based on a random sample of 1,501 adults. Assume the same sample size was used in 2012. ["Changing Attitudes on Gay Marriage," Pew Internet and American Life Project, June 2013.]

What is meant by the phrase "95% confident" in this context?


Title: Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry ...
Post by: vvnluu on Aug 31, 2019
If we were to select many pairs of samples of 1501 adults from 2012 and of 1501 adults from 2013 and compute a confidence interval for each pair of samples for the difference in proportions of all American adults in each year who favored allowing same-sex couples to marry, we would expect to capture the actual difference in proportions in the populations in about 95% of the intervals constructed.


Title: Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry ...
Post by: liljay on Aug 31, 2019
Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry legally. This is up from 48% in 2012. The 2013 estimate was based on a random sample of 1,501 adults. Assume the same sample size was used in 2012. ["Changing Attitudes on Gay Marriage," Pew Internet and American Life Project, June 2013.]

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


Title: Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry ...
Post by: linds on Aug 31, 2019
No, a difference of zero is in the interval, so it is plausible that there is no difference in the proportion of American adults who favored allowing same-sex couples to marry in those two years.


Title: Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry ...
Post by: liljay on Aug 31, 2019
This helped my grade so much


Title: Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry ...
Post by: linds on Aug 31, 2019
:okay:


Title: Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry ...
Post by: Villerys39 on Aug 31, 2019
Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry legally. This is up from 48% in 2012. The 2013 estimate was based on a random sample of 1,501 adults. Assume the same sample size was used in 2012. ["Changing Attitudes on Gay Marriage," Pew Internet and American Life Project, June 2013.]

Because it is known that support for allowing same-sex couples to marry has been rising, it would be reasonable to perform a one-sided hypothesis test with the alternative hypothesis that the proportion of Americans who favor allowing such marriages is greater in 2013 than 2012. Would such a test cause you to reach the same conclusion you reached in question 3?


Title: Pew Research found that, in 2013, 50% of American adults favored allowing same-sex couples to marry ...
Post by: Nashua on Aug 31, 2019
Yes. Even with a one-sided test, the P-value is 0.12. There is not enough evidence, based on this pair of samples, to conclude that the proportion of all American adults who favored allowing same-sex couples to marry increased from 2012 to 2013.