A genetic experiment involving peas yielded one sample of offspring consisting of

411411

green peas and

146146

yellow peas. Use a

0.010.01

significance level to test the claim that under the same circumstances,

2323%

of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.

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Part 1

What are the null and alternative hypotheses?

A.Upper H 0 : p not equals 0.23 Upper H 1 : p equals 0.23

Upper H 0 : p not equals 0.23H0:p0.23

Upper H 1 : p equals 0.23H1:p=0.23

B.Upper H 0 : p not equals 0.23 Upper H 1 : p less than 0.23

Upper H 0 : p not equals 0.23H0:p0.23

Upper H 1 : p less than 0.23H1:p<0.23

C.Upper H 0 : p equals 0.23 Upper H 1 : p not equals 0.23

Upper H 0 : p equals 0.23H0:p=0.23

Upper H 1 : p not equals 0.23H1:p0.23

D.Upper H 0 : p equals 0.23 Upper H 1 : p less than 0.23

Upper H 0 : p equals 0.23H0:p=0.23

Upper H 1 : p less than 0.23H1:p<0.23

E.Upper H 0 : p not equals 0.23 Upper H 1 : p greater than 0.23

Upper H 0 : p not equals 0.23H0:p0.23

Upper H 1 : p greater than 0.23H1:p>0.23

F.Upper H 0 : p equals 0.23 Upper H 1 : p greater than 0.23

Upper H 0 : p equals 0.23H0:p=0.23

Upper H 1 : p greater than 0.23H1:p>0.23

Part 2

What is the test statistic?

zequals=enter your response here

(Round to two decimal places as needed.)

Part 3

What is the P-value?

P-valueequals=enter your response here

(Round to four decimal places as needed.)

Part 4

What is the conclusion about the null hypothesis?

A.

RejectReject

the null hypothesis because the P-value is

less than or equal tolessthanorequalto

the significance level,

alpha.

B.

Fail to rejectFailtoreject

the null hypothesis because the P-value is

less than or equal tolessthanorequalto

the significance level,

alpha.

C.

Fail to rejectFailtoreject

the null hypothesis because the P-value is

greater thangreaterthan

the significance level,

alpha.

D.

RejectReject

the null hypothesis because the P-value is

greater thangreaterthan

the significance level,

alpha.

Part 5

What is the final conclusion?