1. For the hypothesis test, I would be interested in knowing the mean value of individuals who received the Covid-19 vaccine and were fully vaccinated, yet not hospitalized and/or died versus individuals who received the Covid-19 vaccine and were still subsequently hospitalized and/or died although they were fully vaccinated. The null hypothesis (H0) maintains that those who received the Covid-19 vaccine were in perfectly good health after receiving the vaccination and contracting Covid. The alternative hypothesis (Ha) maintains that those who received the Covid-19 vaccine were still subsequently hospitalized and/or died after contracting Covid.

verify that their null and alternative hypothesis are written correctly.

Then, state what the Type I error would be in the context of their hypothesis test, and state what the Type II error would be in the context of their hypothesis test.

2. A city is trying to conduct a campaign to raise awareness of alcohol addiction and drunk driving. They want to know how many drivers under the influence who were involved in fatal crashes has prior convictions for driving under in the influence. The city would go through records of 100 drivers involved in fatal crashes this past year and view their driving records to see how many of those drivers had prior convictions. Null hypothesis (Ho)- There would be no significant data to report. There would be no correlation between the number of drunk drivers involved in fatal crashes and their driving record. Alternate hypothesis (Ha)- There is significant data to report. The driving records of drunk drivers involved in fatal crashes would potentially show a high number of prior convictions of driving under the influence. If the city could prove that there is a correlation between prior convictions and drunk drivers involved in fatal crashes, it could raise awareness to the addiction of alcoholism and not just drunk driving alone.

verify that their null and alternative hypothesis are written correctly.

Then, state what the Type I error would be in the context of their hypothesis test, and state what the Type II error would be in the context of their hypothesis test