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

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