# Question

According to the Pew Research Center, 47% of respondents to a poll in April 2012 reported that they strongly favored gay marriage, but in 2004 only 31% said the same thing.

a. Can we conclude, from these two percentages alone, that in the United States, a greater percentage favored gay marriage in 2012 than in 2004? Explain.

b. Assume that the sampling was done with 3000 random people in 2012 and 3000 random people in 2004. How many of the people in 2012 and how many of the people in 2004 said they strongly favored gay marriage?

c. Assume again that the sampling was done with 3000 random people in 2012 and 3000 random people in 2004. Report the numbers you would need to put in the TI-84 input screen to replace the zeros. Let sample 1 be the proportion supporting gay marriage in 2012.

d. Check that the conditions for using the two-proportion confidence interval hold.

e. Find a 95% confidence interval for the difference in proportions supporting gay marriage (2012 minus 2004), and interpret the interval.

a. Can we conclude, from these two percentages alone, that in the United States, a greater percentage favored gay marriage in 2012 than in 2004? Explain.

b. Assume that the sampling was done with 3000 random people in 2012 and 3000 random people in 2004. How many of the people in 2012 and how many of the people in 2004 said they strongly favored gay marriage?

c. Assume again that the sampling was done with 3000 random people in 2012 and 3000 random people in 2004. Report the numbers you would need to put in the TI-84 input screen to replace the zeros. Let sample 1 be the proportion supporting gay marriage in 2012.

d. Check that the conditions for using the two-proportion confidence interval hold.

e. Find a 95% confidence interval for the difference in proportions supporting gay marriage (2012 minus 2004), and interpret the interval.

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