1. Noa heard that spinning--rather than flipping--a penny raises the probability above 50% that the penny lands showing heads. He tests this by spinning 10 different pennies 10 times each, so he's willing to treat these spins as a random sample. In his 100 spins, the penny landed showing "heads" in 68 spins. He wants to test this claim at the 10% significance level. Let P be the true proportion of spins that a penny would land showing "heads".

Include

1. Name of Test
2. Calculator command and all inputs
3. Null and Alternative Hypothesis
4. What value would you use to check conditions?
5. Reject or Fail to Reject the null?

2.A large nationwide poll recently showed an unemployment rate of 9% in the US. The mayor of a local town wonders if this national result holds true for her town, so she plans on taking a sample of her residents to see if the unemployment rate is significantly different than 9%. Let p represent the unemployment rate in her town. She will use the null hypothesis as p=0.09 and the alternative will be two-sided. Describe a Type I and Type II error in this context.

3.Herman conducted an experiment to see what difference plowing fields had on their total yield of crops. The sample of 6 fields that he plowed had a mean yield of 11,700 kilograms per hectare and a standard deviation of 4,900 kilograms per hectare. The 7 fields he didn't plow had a mean yield of 9,620 kilograms per hectare and a standard deviation of 3,200 kilograms per hectare.

construct a 95% confidence interval for the difference in mean yield of kilograms per hectare.

Include

1. Name of Test
2. Calculator Command and all inputs
3. Interval - what does this interval mean in terms of evidence.
4. Degrees of freedom and critical value if it were to perform this by hand.

4. An airline transports over 10,000 passengers daily, and the airline is curious what proportion of their passengers use mobile boarding passes instead of paper ones. They take an SRS of 80 passengers and find that 60 of them use mobile boarding passes.

construct a 95% confidence interval for the proportion of passengers who use mobile boarding passes.

Include

1. Name of Test
2. Calculator Command and all inputs
3. Interval
4. P-hat
5. Which value would you use to check conditions?

5.A sociologist was curious about how much smartphone access has changed for American teenagers. She obtained separate random samples of teenagers from 2017 and 2013. Here are her results:

Access to smartphone	2017	2013
Yes	450	120
No	150	280
Total	600	400

Construct a 95% confidence interval to estimate the difference in proportions of teens each year who had access to a smartphone (2017-2013).

Include

1. Name of Test
2. Calculator Command and all inputs
3. Interval
4. Statistic
5. Which value would you use to check conditions?

6. A marine biologist wanted to construct a confidence interval to estimate the mean weight of marine otters using 98% confidence. They took a random sample of n=8 marine otters to measure their weights. These weights were roughly symmetric with a sample mean of 4.5 kg and a standard deviation of 1.1 kg.

Use your calculator to construct a 98% confidence interval for the proportion of passengers who use mobile boarding passes.

Include

1. Name of Test
2. Calculator Command and all inputs
3. Interval
4. Appropriate critical value with correct notation

7.Your high school requires that students are assigned an average of 2.5 hours of homework each night. The school board believes that the average amount of time spent per not is not 2.5 hours, so they decide to take a random sample of 16 students to see if there is convincing evidence to support their suspicion The board finds that the sample of students were assigned an average of 2.8 hours of homework per night with a standard deviation of 0.8 hours. The board wants to use these sample data to conduct a significance test. Assume all conditions have been met. Calculate the test statistic and p-value.

8.An economist was curious if women were more satisfied with their jobs than men. A random sample of 220 workers showed that 46 of 100 women were satisfied with their jobs and 42 of 120 men were satisfied. The economist wants to use the results to test if women are more satisfied with their job than men.

perform the significance test at the 5% confidence level.

Include

1. Name of Test
2. Calculator command and all inputs, p-value and test-statistic
3. Null and Alternative Hypothesis
4. What value would you use to check conditions?
5. Reject or Fail to Reject The null?

9.Jumbo eggs in Argentina, on average, are supposed to weigh 68 g. Maria Eugenia is in charge of a quality control test that involves weighing a sample of eggs to see if the sample mean weight is significantly different than 68 g. She takes a sample of 100 eggs and finds a mean weight of 67 g and a sample standard deviation of 1 gram. Maria Eugenia wants to use these sample data to conduct a significance test on the mean. Assume all conditions are met.

perform the significance test.

Include

1. Name of Test
2. Calculator command and all inputs, test statistic and p-value
3. Null and Alternative Hypothesis
4. Reject or Fail to Reject the null?

10. Diego was testing a null hypothesis of mu=24 versus a 2-sided alternative hypothesis. His sample included 35 observations. His test statistic was t=-1.79. Assume that the conditions for inference were met.

What is the approximate p-value for Diego's test?

Find your p-value using the correct table.

Find your p-value using your calculator.

Do you reject or fail to reject the hypothesis: At 10%, 5%, 1%

If you were to construct confidence intervals, at what C% would you expect to reject the null? Justify your answer.