1.The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 19.1 for a sample of size 1023 and standard deviation 7.3.

Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 80% confidence level).

Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).

________ < < ________

Answer should be obtained without any preliminary rounding.

2.A student was asked to find a 99% confidence interval for the proportion of students who take notes using data from a random sample of size n = 90. Which of the following is a correct interpretation of the interval 0.15 < p < 0.3?

Check all that are correct.

• There is a 99% chance that the proportion of the population is between 0.15 and 0.3.
• The proprtion of all students who take notes is between 0.15 and 0.3, 99% of the time.
• With 99% confidence, the proportion of all students who take notes is between 0.15 and 0.3.
• With 99% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.15 and 0.3.
• There is a 99% chance that the proportion of notetakers in a sample of 90 students will be between 0.15 and 0.3.

3.If n=230 and p^ (p-hat) =0.14, find the margin of error at a 99% confidence level

Give your answer to three decimals

4.Out of 300 people sampled, 117 had kids. Based on this, construct a 99% confidence interval for the true population proportion of people with kids.

______ < p < _______

Give your answers as decimals, to three places

5.Suppose are running a study/poll about the proportion of voters who prefer Candidate A. You randomly sample 84 people and find that 43 of them match the condition you are testing.

Suppose you are have the following null and alternative hypotheses for a test you are running:

H0: p = 0.54

Ha: p 0.54

Calculate the test statistic, rounded to 3 decimal places

z=