Question

1. in 2009, 33% of americans felt that one parent should stay home to raise the children instead of using day care. in a poll conducted in 2011, 416 out of 1015 americans believed that one parent should stay home. at a 99% level of confidence, is there sufficient evidence to conclude that the percentage has increased from its 2009 value?

Answer 1

Answer: Yes

Step-by-step explanation: To show that the percentage has increased we would need to prove that 416/1015 with a 99% level of confidence or a 1% margin of error to do this we divide 416 by 1015

This equals 0.40985221674

Which can be rounded to 0.41 or 41% since there is a one percent margin of error we can assume that this is enough evidence, because if 1% of the poll's recipients mistakenly voted for a option they did not really think was true it would not be enough to change 41% to 33%

Hope this helps!