Question: Given the null and alternative hypotheses below, test the hypothesis using =0.01 assuming that a sample of n=300 yielded x=158 items with the desired attribute.

Given the null and alternative hypotheses below, test the hypothesis using =0.01 assuming that a sample of n=300 yielded x=158 items with the desired attribute.

H0: p0.59

HA: p<0.59

Check the requirement for a hypothesis test for a proportion.

In this situation, np=??????? is (less than/ equal to /greater than) 5 and n(1p)=??????? is (greater than/ less than/ equal to) 5. Thus, the requirement (is not/ /is)

satisfied.

(Type integers or decimals.)

What is the test statistic?

z=????????

(Round to two decimal places as needed.)

What is the p-value?

p-value=?????????

(Round to three decimal places as needed.)

What is the proper conclusion?

(Do not reject/ reject) H0. There is (sufficient/insufficient) evidence to conclude that the population proportion is (greater than/ less than/ equal to/ at least) 0.59.

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