he COVID-19 (coronavirus) mortality rate of a country is defined as the ratio of the number of deaths due to COVID-19 divided by the number of (confirmed) cases of COVID-19 in that country. Suppose we want to investigate if there is any difference between the COVID-19 mortality rate in the US and the UK. On April 18, 2020, out of a sample of 671,493 cases of COVID-19 in the US, there was 33,288 deaths; and out of a sample of 109,754 cases of COVID-19 in the UK, there was 14,606 deaths. What is the 92% confidence interval in the true difference in the mortality rates between the two countries? What can you conclude about the difference in the mortality rates between the US and the UK? Justify your conclusions.

Suppose we know the prevalence of covid in a region and the sensitivity and Specificity of a rapid covid test. The details are given as follows: • prevalence: P(covid)=0.01 • sensitivity: P(positive test | covid)= 0.9 • specificity: P(negative test | no covid)=0.8 Use the information above to answer the following questions. (a) Find P(positive test). (b) If a student got a positive test, conditional on this information, what was the probability that the student had covid? (c) Which theorem did you use to solve part (b)? Briefly describe the theorem.

The number of Muslims continues to grow throughout the world, and they are currently thesecond-largest religious group in the world. Knowing that this group has been the target of falsebeliefs about their religion, a researcher is interested in whether people who have moreinteractions with Muslim people are less likely to believe negative statements about Islam. To dothis, they surveyed a large sample of participants across Western Europe and asked themquestions about how frequently they interact with Muslim people as well as how much theyagreed with negative statements about Islam. What statistical test should be used to determine ifthere if how frequently survey participants interact with Muslim people predicts how likely theyare to agree with a negative statement about Islam? Assume parametric assumptions are met. A. Is this a relationship test or a difference test? Explain your rationale. B.

Due to the alarming cases of Covid-19, a researcher wanted to study the characteristics of the patients in NCR infected by the virus. Lilliefors, a researcher, considered the following variables: M: age bracket (0-19, 20-39, 40-59, 60 and above) N: last country visited in the past 3 months O: number of days quarantined after manifestation of symptoms P: current status of the patient (mild, moderate, severe)   6. To answer the objective of the study, Lilliefors used different data collection methods. First, she gathered information about the variables of interest by letting the patients answer a self-administered questionnaire. Second, to supplement the data she gathered, she collected the sociodemographic profile of the patients using the data from the Department of Health. The methods of data collection used by Lilliefors are ________.    A. objective and subjective, respectively B. subjective and objective, respectively C. objective and use of existing records, respectively…