Question

36% of all Americans said protecting the right to own guns is more important .The Pew Research Center surveyed 1268 randomly selected Americans with at least a bachelor’s degree and found that 558 believed that protecting the right to own guns is more important. Does this result suggest the proportion of Americans with at least a bachelor’s degree feel differently than the general American population when it comes to gun control? Use the α = 0.1 level of significance.

a) State the null and alternative hypotheses

b) What is the test statistics, critical value and p – value

c) Reject or Do not reject

d) State the conclusion

Answer 1

a)

b)

TS= (p^ -p)/sqrt(pq/n)

p^ = X/n = 558/1268 = 0.4401

TS = 5.9395

critical value for alpha = 0.1 is 1.645

p-value = 2 P(Z > 5.9395) = 0.000

c)

d)

We conclude that this result suggest the proportion of Americans with at least a bachelor’s degree feel differently than the general American population when it comes to gun control