To properly find the cure for the Coronavirus, it is important to determine what proportion of the population has antibodies, whether from vaccination or past infection, which would likely make them immune or less susceptible to the effects of the disease. This proportion is known as antibody seroprevalence. According to covid.cdc.gov, the nationwide COVID-19 infection- and vaccination- induced antibody seroprevalence was 94.7% in December 2021. A medical researcher thinks that the antibody seroprevalence is less than 94.7%. Suppose that the researcher takes a simple random sample of 900 Americans, tests their blood, and finds that 845 of them have detectible COVID-19 antibodies. Use a 0.05 significance level to test the researcher’s claim.
For the following problem conduct a full hypothesis test where you write down all relevant statistics and parameters, check the conditions of the CLT for normality, state the null and alternative hypothesis and which type of test is being used, calculate the test statistic, draw and label a picture of the bell curve, make a decision based on the classical or P-value approach, and write a conclusion in a complete sentence.
10.) To properly find the cure for the Coronavirus, it is important to determine what proportion of
the population has antibodies, whether from vaccination or past infection, which would likely make
them immune or less susceptible to the effects of the disease. This proportion is known as antibody
seroprevalence. According to covid.cdc.gov, the nationwide COVID-19 infection- and vaccination-
induced antibody seroprevalence was 94.7% in December 2021. A medical researcher thinks that the
antibody seroprevalence is less than 94.7%. Suppose that the researcher takes a simple random
sample of 900 Americans, tests their blood, and finds that 845 of them have detectible COVID-19
antibodies. Use a 0.05 significance level to test the researcher’s claim.
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