For problems 1 through 3, please include –

• the name of the statistical test

• the parameter being tested, value of the parameter, and the signs of H0 and Ha. Example: What test would you use to determine whether the starting salaries for statisticians are greater than $80,000? One-sample t-test for population mean, H0: µ = 80,000 vs Ha: µ > 80,000.

• Problem 1: The 2018 National Health Interview Survey found out that 4.98% of all US households had at least one member without health insurance coverage. What statistical procedure would you use to test whether the true proportion of such US households in 2020 has changed from 4.98%?

• Problem 2: According to the US Bureau of Labor Statistics, the average electricity price in the Chicago area in February 2020 was 14.9 cents/kWh. What statistical procedure would you use to test whether the average electricity price in the Chicago area in April 2020 is less expensive than that in February 2020?

• Problem 3: According to the US Census Bureau, 9.6% of the residents in Minneapolis in 2019 were Hispanic or Latino. What statistical procedure would you use to test whether the percentage of Minneapolis residents that are Hispanic or Latino in 2020 has increased from that in 2019? For problem 4, please show all 5 steps of the hypothesis test. Remember to interpret your conclusion. •

• Problem 4: (Show all 5 steps) According to the 2018 American Community Survey, the average number of available vehicles per occupied housing unit for the n = 72 counties in Wisconsin was 1.96, with a standard deviation of 0.13. Test whether the true mean number of available vehicles per occupied housing unit in Wisconsin in 2018 is different from the national value of 1.80 at the significance level α = 0.05.