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can be reasonably assumed to be random is given to be random is given to not be

ID: 3263196 • Letter: C

Question

can be reasonably assumed to be random

is given to be random

is given to not be random

cannot be reasonably assumed to be random

the options after "requirements for testing the hypothesis" are:

are satisfied

are not satisfied

*please tell me how I would figure out when to choose which too for future reference. Thank you*

In a clinical trial, 16 out of 874 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 1.6% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 1.6% of this drug's users experience flulike symptoms as a side effect at the = 0.05 level of significance? Because np0(1-p0)= 138| |10, the sample size is! less than 15% of the population size, and the sample the > satisfied. Round to one decimal place as needed.)

Explanation / Answer

For first blank,

Answer is "can be reasonably assumed to be random". The reason for this answer is that there is nothing about randomness is given in the question so we can't be certain whether this sample is random or not but since it is a clinical trial, we can assume it to be random.

For second blank,

Answer is "are satisfied". The reason is that the three conditions mentioned [np(1 - p)>10, sample size is less than 5% of the population and randomness] are satisfying so the requirement for testing the hypothesis is satisfied.

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