Problem 4: Smoking Bans

On November 3 – 5, 2010, the Gallup Organization surveyed 1028 adult Americans and found that 463 said they supported a ban on smoking in public places.  More recently, on October 15 – 17, 2014, the Gallup Organization surveyed 997 adult Americans and found that 550 supported a ban on smoking in public places.

Construct a 93% confidence interval for the above data.  Show your work using the formulas and verify your work using StatCrunch.
Construct a 98% confidence interval for the above data.  Show your work using the formulas and verify your work using StatCrunch.
Interpret the confidence interval calculated in part (b)

Problem 5: Mercury in Freshwater Fish

Experts believe that 20% of all freshwater fish in the United States have such a high level of mercury that they are dangerous to eat.  Suppose a fish market has 250 fish tested and 60 of them have dangerous levels of mercury.  Test the hypothesis that this sample is not from a population with 20% dangerous fish.  Use a = 0.10.

State the null and alternative hypotheses.
State the significance level for this problem.
List the conditions that allow you to use the test statistic, and, if appropriate, calculate the test statistic.
Calculate the p-value and include the probability notation statement.
State whether you reject or do not reject the null hypothesis.
State your conclusion in context of the problem (i.e. interpret your results).
Use StatCrunch to verify your test statistic and p-value.

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