Question

the sample size for a simple random sample from a population are given below x=8,n.32. Ho: p-o4. Ha : p<0.4, α:010 a. Determine the sample proportion. b. Decide whether using the one-proportion z-test is appropriate. c. If appropriate, use the one-proportion z-test to perform the speified hypothesis test. Click here to view a table of areas under the standard normal curve for negative values of z a. The sample proportion is (Type an integer or a decimal. Do not round.) b. Is it appropriate to use the one-proportion z-test? O No c. Determine the test statistic, if appropriate. Select the correct choice below OA (Round to two decimal places as needed.) and, if necessary, fill in the answer box to complete your answer O B. The one-proportion z-test is not appropriate identifly the oritical value(s) if appropriate. Select the correct choice below and, if necessary, ill in the answer box to complete your answer. 2q/2(Round to two decimal places as needed)

Answer 1

SolutionA

sample proportion=x/n=8/32=0.25

Solutionb:

its a one proportion z test

YES

Solutionc:

ztest statistic

z=p^-p/sqrt(p*(1-p)/n

Z=0.25-0.4/sqrt(0.4*(1-0.4)/32)=-1.73

z=-1.73

ANSWER:

optionA

z=-1.73

Solutiond:

z alpha/2 for 99%=-2.576

answer:

option B

-z alpha=-2.58

Conclusion of the test:

z stat<z crit

Fail to reject H0.

Do not reject H0.the data do not provide sufficient evidence to conclude that p<0.4

ANSWER:

OPTION C