Question

A recent survey was conducted and the main question asked was "Do you think the use of marijuana should be made legal, or not?" The poll results are summarized below.

Response Count

Yes 558

No 367

Undecided 90

At the 1% significance level, do these poll results provide sufficient evidence to support the claim that a majority (i.e., more than half) of U.S. residents are in favor of legalizing marijuana?

1. Define the parameter of interest and state the null and alternative hypotheses.

2. Verify that the conditions necessary for a hypothesis test have been met.

3.Calculate the test statistic.

4. Determine the p-value. Draw a picture to illustrate.

5. What is the conclusion?

Answer #1

The 2010 General Social Survey asked 1241 US residents: "Do you
think the use of marijuana should be made legal, or not?" Of the
respondents, 585 said it should be made legal. Construct a 95%
confidence interval for the proportion of US residents who think
marijuana should be made legal, and interpret it in the context of
the data. Round your results to four decimal places.

The 2010 General Social Survey asked 1208 US residents: "Do you
think the use of marijuana should be made legal, or not?" Of the
respondents, 585 said it should be made legal.
1. The value 48.43% is a...
A. sample statistic
B. population parameter
2. Construct a 95% confidence interval for the
proportion of US residents who think marijuana should be made
legal, and interpret it in the context of the data. Round your
results to four decimal places.
(...

A CBS News poll conduced in the United States November 16-19,
2012 asked, “Do you think the use of marijuana should be legal or
not?” In the nationwise poll of n = 1100 adults, 47% said they
favored legalization. (SHOW YOUR WORK)
(a) Calculate a 99% con?dence interval that estimates the
proportion of all voters who favor legalizing marijuana. Give your
?nal answer as percents rounded to two decimal places.
(b) On the basis of this con?dence interval, is it...

Problem 2: Virginia Sports Betting
Several years ago, polling numbers began to show that public
opinion about legalizing sports betting had changed. For the first
time, a majority of Americans supported making wagering on
professional sports legal. A researcher in the state of Virginia is
currently interested in this topic. She wants to test the claim
that more than 62% of Virginians support this legalization. To test
this claim she collected a random sample of 107 Virginia adults and
then...

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