Question

# Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test....

Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test.

Upper H 0 : p equals 0.85 versus Upper H 1 : p not equals 0.85H0: p=0.85 versus H1: p≠0.85

n equals 500 comma x equals 410 comma alpha equals 0.01n=500, x=410, α=0.01

Is

np 0 left parenthesis 1 minus p 0 right parenthesis greater than or equals 10np01−p0≥10​?

Select the correct choice below and fill in the answer box to complete your choice.

​(Type an integer or a decimal. Do not​ round.)

A.​No, because

np 0 left parenthesis 1 minus p 0 right parenthesisnp01−p0equals=nothing.

B.​Yes, because

np 0 left parenthesis 1 minus p 0 right parenthesisnp01−p0equals=nothing.

Now find

ModifyingAbove p with caretp.

ModifyingAbove p with caretpequals=nothing

​(Type an integer or a decimal. Do not​ round.)Find the test statistic

z 0z0.

z 0z0equals=nothing

​(Round to two decimal places as​ needed.)

Find the​ P-value.

​P-valueequals=nothing

​(Round to three decimal places as​ needed.)

State the conclusion of the hypothesis test.

Reject the null hypothesis,

Do not reject the null hypothesis,

because the​ P-value is

greater

less

than

alphaα.