1, Consider a simple poll that is measuring the proportion of citizens that hold a particular political belief. What is a conservative, "worst case scenario" sample size if you want the margin of error to be 4.8%?

Sample Size =

2, Deandre in St. Louis is conducting a study to see if the probability of contracting a new virus strain this year (Strain #742C) is significantly more than 0.19, at a significance level of=0.001. Deandre obtains a relevant sample of sizen=170 in which there are 38 people who contracted the new virus strain this year.Perform an appropriate hypothesis test to help Deandre make a statistically correct conclusion. Be sure to define your variable.

• Cleary label and show all four steps of the test.
• Show all calculations for your sample proportion and test statistic. Round both to four decimal places.
• Useonly the standard normal tableto calculate your probability. Do not use Statcrunch.
• conclusion (Step 4) in a complete sentence, using the context of the problem.
• If your sample fails the conditions make a note in your work and continue with your hypothesis test as though it did pass the conditions.

3, Joseph measured 49 randomly sampled small laptop weights for a school (in District #8773B) in San Francisco. The sample had a mean weight of 80 ounces. Compute a 95% confidence interval using this sample. Assume the population standard deviation is 2.3 ounces. Usez=1.96 in your calculations.

Do not use StatCrunch.Show all formulas used, work and steps. Be sure to define your variables.

Give your answer rounded to two decimal places.

Interpret your answer in a complete sentence within the context of the problem.

4, In a recent Super Bowl, a TV network predicted that 27 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 130 people who saw the commercials and found that 41 of them said they would watch one of the television shows.

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

H0:p=0.27

Ha:p>0.27

Calculate the test statistic, rounded to 3 decimal places

z=

5, You wish to test the following claim (HaHa) at a significance level of=0.001

Ho:=75.8

Ha:>75.8

You believe the population is normally distributed and you know the standard deviation is=8.9 You obtain a sample mean ofx=76.4 for a sample of sizen=54

What is the test statistic for this sample?

test statistic =(Report answer accurate to 3 decimal places.)

What is the p-value for this sample?

p-value =Use Technology(Report answer accurate to 4 decimal places.)

The p-value is...

• less than (or equal to)
• greater than

This test statistic leads to a decision to...

• reject the null
• accept the null
• fail to reject the null

As such, the final conclusion is that...

• There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 75.8.
• There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 75.8.
• The sample data support the claim that the population mean is greater than 75.8.
• There is not sufficient sample evidence to support the claim that the population mean is greater than 75.8.