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

Upper H 0 : p equals 0.87 versus Upper H 1 : p0.85

n-= 500 ,x =420 ,=0.01

np 0 left parenthesis 1 minus p 0 right parenthesis greater than or equals 10np01p010 ?

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 parenthesisnp01p0equals=nothing.

B. Yes, because

np 0 left parenthesis 1 minus p 0 right parenthesisnp01p0equals=nothing

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

alpha.