A congressman wants to measure the level of support in his district for campaign finance reform and determine if there is a gender gap among voters with respect to this issue. One aid suggests that they find separate confidence intervals for the percent of men and the percent of women who favor reform and then see if the intervals overlap. Another aid suggests that they find a confidence interval for the difference in the proportions of men and women who favor reform. The question is: Is there a gender gap

Campaign Finance Reform

Gender Gap among Voters in the District

There is a gender gap among women and men who favor campaign finance reform.

Step-by-step explanation:

In issues such as the above, a gender gap always exist between women and men who think that there is the need to reform the campaign finance.  Women ordinarily favor a reduction in the campaign finance.  On the other hand, men do not mind so much about the candidate expenditure in campaigns.  Reducing the huge campaign finance will ensure that political campaigns and aspiration to political offices are not left to money bags.  Many women would like to get involved, but they are limited by funding.  So, anytime the issue of reforming the whole electoral system, especially with respect to campaigns, women favor the reforms more than men.  The gap is always there.  The main issue is how would this gap be measured?

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.