Question

In: Statistics and Probability

Suppose you take a sample of 50 random people with COVID-19 and find that 30 of...

Suppose you take a sample of 50 random people with COVID-19 and find that 30 of them are asymptomatic (show no symptoms), .   Suppose you want to test FOR whether or not the percent of individuals with COVID-19 who are asymptomatic is greater than 50%.

  1. What is the null and alternative hypotheses for this test?
  2. What are the critical values for conducting the hypothesis test at the 10%, 5%, and 1% significance levels?
  3. What is the test statistic for the above hypothesis test, and what is the p-value?
  4. At what significance levels out of 10, 5 and 1% could you reject the null hypothesis, and why?

Solutions

Expert Solution

The test is conducted at 1%, 5% and 10% level of significance respectively.

The test is rejected at 10% level of significance, because the p value is less than level of significance.

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