1. The infection fatality rate ([F R) of a disease is the proportion of people who have the disease that die of the disease. Research Question: Is the population proportion infection fatality rate for coronavirus less than 1%? Let p = true population proportion case fatality rate for coronavirus. Choose the correct set of statistical hypotheses for this research question. a. H0: 1050.01 HAIp>0.01 b. H0: p>0.01 c. H0: 1920.01 HAIP Pi c. Ho: Pc = Pi HA: Pc # Pi d. Ho: Hc Hi HA: Hc > Hi3. Suppose you know the population average wage in the manufacturing industry in the US. is $26.72 per hour. You take a survey 40 people that work in manufacturing in Spain to answer the following research question. Research Question: Is the population average manufacturing wage in Spain less than $26.72 per hour, the population average manufacturing wage in the U.S.? You nd a sample mean of $25.50 from your survey of workers in Spain. You know the population standard deviation for manufacturing wages in Spain is $2.60 per hour. What is the z-statistic associated with the hypothesis test you use to answer your research question? Round your answer to two decimal places. For example, if your calculation gives -1.64192, type -1.64. 4. Suppose you know the population average wage in the manufacturing industry in the US. is $26.72 per hour. You take a survey 40 people that work in manufacturing in Spain to answer the following research question. Research Question: Is the population average manufacturing wage in Spain less than $26.72 per hour, the population average manufacturing wage in the U.S.? You nd a sample mean of $25.50 from your survey of workers in Spain. You know the population standard deviation for manufacturing wages in Spain is $2.60 per hour. What is the p-value associated with the hypothesis test you used to answer your research question? Round your answer to four decimal places. For example, if your calculation gives 000230338, type 0.0023. . Suppose you know the population average wage in the manufacturing industry in the US. is $26.72 per hour. You take a survey 40 people that work in manufacturing in Spain to answer the following research question. Research Question: Is the population average manufacturing wage in Spain less than $26.72 per hour, the population average manufacturing wage in the U.S.? You know the population standard deviation for manufacturing wages in Spain is $2.60 per hour. Suppose you are using a signicance level of 0.01 or 1% (a = 0.01). Suppose that the true average manufacturing wage in Spain is $25 per hour. What is the power of your hypothesis test? Round your answer to three decimal places. 6. Suppose you know the population average wage in the manufacturing industry in the US. is $26.72 per hour. You take a survey 40 people that work in manufacturing in Spain to answer the following research question. Research Question: Is the population average manufacturing wage in Spain less than $26.72 per hour, the population average manufacturing wage in the US? You know the population standard deviation for manufacturing wages in Spain is $2.60 per hour. Suppose you are using a signicance level of 0.01 or 1% (a = 0.01). Suppose that the true average manufacturing wage in Spain is $25 per hour. What is the minimum sample size necessary to ensure that the probability of a Type 11 Error is less than 1%? 7. You collect data of average annual returns for Amazon Stock and Microsoft Stock and make the following table: (This data can be copied into Excel.) Microsoft Return 0.3996 0.2391 0.1823 0.1111 0.3642 0.1974 0.6501 You use this data to answer the research question: are true population Amazon Returns greater than true population Microsoft Returns? What is your point estimate of the difference in Amazon Returns and Microsoft Returns? Enter your answer as a positive number. Round your answer to four decimal places. 8. You use the above data to answer the research question: are true population Amazon Returns greater than true population Microsoft Returns? You use a signicance level of 5% or 0.05 for your hypothesis test. What is the critical value associated with your hypothesis test? Round your answer to two decimal places. For example, if your calculation gives 1.64192, type 1.64. 9. You collect data on coronavirus cases om a random sample of cities of similar sizes in cold climates and in warm climates and make the following table: (This data can be copied into Excel.) Cases per 100,000 Cold Climates Cases per 100,000 Warm Climates 2236 1 121 1896 989 2291 902 You use this data to answer the research question: is the population average number of coronavirus cases different in warm cities and cold cities? You assume that the variances of coronavirus cases are not equal across cold cities and warm cities. What is the p-value associated with your hypothesis test? Round your answer to four decimal places. Answers: 1. c.HO: 1020.01 HA: p 13; -2.97 0.0015 0.968 50 0.0548 1.94 0.0005 N wWHQMsw