Need help solving

3. A hospital readmission is when a patient who has been discharged gets readmitted shortly after. A study from South Korea reported that for patients who have had COVID19, the readmission rate for men is 5.5%. A hospital in the United States wants to see if their readmission rate is different than the readmission rate for South Korea. When examining their COVID patients they find that 10 of the 90 men who were treated for COVID were readmitted.

A) State the null and alternative hypothesis. What type of test is this (left-tailed, right-tailed, twotailed?)

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B) Find the sample proportion, .

C) Calculate the test-statistic and the corresponding p-value. Round your test-statistic to 2 decimal places and your p-value to four decimal places.

E) Based on your p-value, what is the test decision (for = 0.01) and conclusion in context?

F) Suppose that instead of wanting to find if the proportion is different, the hospital wanted to find out if the proportion was greater. How does this change our test?

Recalculate the p-value. How did the p-value change and did it affect the conclusion?