Answer Happy

Pandemic electricity - According to data from the United States Department of Energy, the mean amount a residential customer in the US paid for electricity in the year 2019 was $1360. Because people spent so much more time in their homes during 2020 due to the pandemic, you wonder if the mean amount Michigan residential customers paid for electricity during 2020 is higher than the national value from 2019. You obtain a random sample of 41 Michigan residential customers and record the amount they paid for electricity for 2020. You calculate a mean of $1519 and a standard deviation of $538.77. Round all calculated values to 4 decimal places as appropriate. 1. Which test should you use to answer your research question? OAX test of independence O B. Z test for one population proportion O c. x goodness of fit test OD. t test for sample mean 2. Which set of hypotheses should you use to answer your research question? OAH, N = 1360 vs. Hu<1360 OB.HH = 1519 vs. II: > 1519 OC. H:41 = 1360 vs. H: 1519 ODHO : M = 1360 vs. H: 1360 O E. H, := 1360 vs. Hill> 1360 OF. HO : 7 = 1519 vs. H: > 1519

3. What conditions must be met for the hypothesis test to be valid? Select all that apply: A. There must be at least 3 levels of the observed variable. B. The requirement for the population data for the amount customers paid for electricity in 2020 to be normally distributed can be relaxed because the sample size is more than 30. O c. The sample size must be large enough to minimize the margin of error. D D. The sample observations must be independent. DE. The sample observations must be normally distributed. 4. What is the test statistic? ? = 5. You calculate a p-value of 0.033033. Which of the following are correct interpretations of the p-value? Select all that apply: A. A p-value of 0.033033 means we have strong evidence against the null hypothesis. B. Under the null model, we would expect a sample mean of 1519 or more approximately 3.3033% of the time in repeated sampling. D C. A p-value of 0.033033 means our sample mean, 1519, is within 0.033033 of the true population mean. OD. A p-value of 0.033033 means that there is a 3.3033% chance that the null model is accurate,

6. Calculate the effect size for your hypothesis test. 7. Two of your classmates decide to replicate your experiment using random samples from their home states. Choose from the dropdowns to correctly complete the sentences. Carolyn is from California. She obtains a random sample of 48 residents from her state and calculates a p-value of 0.026 and an effect size of 0.75. Carolyn has a ? effect size. Noah is from New Jersey. He obtains a random sample of 99 residents from his state and calculates a p-value of 0.031 and an effect size of 0.11. Noah's results ? Carolyn's results because the ? are ?