Statistics HW

Homework Assignment #5

1. The Humane Society of the United States keeps scorecards on legislators regarding their support for animal welfare legislation. Below, you will find a random sample of legislators with their Human Society scores and their religious affiliation:

Name Score Religious Affiliation

Smith 45 Evangelical

Johnson 65 Jewish

Adams 50 Catholic

Jones 75 Mainline Protestant

Quincy 35 Evangelical

Black 40 Evangelical

White 60 Jewish

McTibbs 70 Mainline Protestant

Avery 50 Evangelical

Elway 30 Evangelical

You hypothesize that Evangelical Christians will have lower scores from the Humane Society than will representatives of other religions. Let’s find out if you are right!

What is the mean score for Evangelical Christians? _____________

What is the mean score for everyone else? _____________

What is the null hypothesis?

Using a difference of means analysis (show your work on a separate page), what is the standard error for the difference of means?

_________________

With a 95% level of confidence, can we reject the null hypothesis? Explain your answer in a sentence or two.

2. The Humane Society of the United States conducts a survey of 500 Americans asking whether they support a federal ban on dog fighting. Of that 500-person sample, 53% say they support a ban on dog fighting.

What is the margin of error (assuming we want 95% confidence levels) of our survey?

Are we statistically confident that a majority of Americans support the dog fighting ban?