A recent Pew poll suggests that 20% of Republicans and 70% of Democrats think climate change is a...

A recent Pew poll suggests that 20% of Republicans and 70% of Democrats think climate change is a serious problem.  Assume these are the TRUE percentages of Republicans/Democrats that think climate change is a serious problem.

Consider a survey of 100 Republicans: what is the standard deviation of the number of Republicans who think climate change is a very serious problem in this sample?

Consider a survey of 100 Republicans: you want to find the probability that 30 or more Republicans think climate change is a very serious problem.  Is it appropriate to use the normal approximation to the binomial to get this probability (give a reason)?

Here is the actual data on who thinks climate change is a serious problem: 52 out of 260 Republicans and 197 out of 290 Democrats.  Construct a 95% confidence interval for the true difference in proportions (perform as Democrat Proportion - Republican Proportion, and assume the critical value you need is 1.96).