Question

1. In a random sample of 1008 U.S. adults taken 10 years ago, 515 think that the U.S. government is doing too little to protect the environment. In a recent random sample of 1022 U.S. adults, 480 think that the U.S. government is doing too little to protect the environment. At ? = 0.05, test the claim that the proportion of U.S. adults who think that the U.S. government is doing too little to protect the environment has changed? Show all work.

a) State the null and alternative hypothesis

b) Calculate the following to three decimal places

?̂1 :__________________ ?̂2 :___________________ ̅?:_____________________ ?̂1 :_________________ ?̂2 :__________________ ̅?:______________________

c) Calculate the test statistic (two decimal places)

d) Calculate the p-value (three decimal places)

e) Reject or fail to reject the null hypothesis? Why?

f) State your conclusion in context of the problem

g) Create a 95% confidence interval to estimate the difference between the proportion of U.S. adults who think the U.S. government is doing too little (you don’t need to interpret the interval, just list it to 3 decimal places)

h) Does the confidence interval verify the results from the hypothesis test? Why?

Answer 1

a

b.

c

d