Russian media claim that at most 16% of Russian families live in poverty. Suppos
ID: 3179311 • Letter: R
Question
Russian media claim that at most 16% of Russian families live in poverty. Suppose that you believe that this percentage is in fact higher. A simple random sample of 81 Russian families finds that 19 of these family live in poverty. At a 5% significance level the conclusion is: Russian media are right; not more than 16% of Russian families live in poverty Russian media are wrong; more than 16% of Russian families live in poverty Exactly 16% of Russian families live in poverty the data is inconclusive and more Russian families should be surveyed The Type II error for this test is: To not reject the Russian media claim when, in fact, it is true. Reject the Russian media claim when, in fact, it is true. Reject the Russian media claim when, in fact, it is false. To not reject the Russian media claim when, in fact, it is false.Explanation / Answer
as from above mean =np=81*0.16=12.96
and std deviation =(np(1-p))1/2 =3.299
hence P(X>=19)=1-P(Z<(18.5-12.96)/3.299)=1-P(Z<1.6792) =1-0.9535 =0.0465
as probability of that is less then 0.05
hence option B is correct
14)option D