Question

In a clinical​ trial, 21 out of 860 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.1​% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.1​% of this​ drug's users experience flulike symptoms as a side effect at the alpha equals 0.1 level of​ significance? Because np 0 left parenthesis 1 minus p 0 right parenthesisequals nothing ▼ ​10, the sample size is ▼ ​5% of the population​ size, and the sample ▼ the requirements for testing the hypothesis ▼ satisfied. ​(Round to one decimal place as​ needed.)

Answer 1

Given that

n = 860 (sample size)

po = 2.1/100 = 0.021 (population proportion)

npo*(1-po)

= 17.7 greater than 10

so, condition is satisfied

Because np 0 left parenthesis 1 minus p 0 right parenthesisequals ​, the sample size is less than ​5% of the population​ size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis are satisfied.

Here we assumed that sample is reasonably random because npo*(1-po) condition is satisfied