Need help to solve this question from chapter 8 of Triola statistics. Show steps and formulas to solve and explanation using TI-84 calculator.

A genetic experiment involving peas yielded one sample of offspring consisting of445 green peas and 122 yellow peas. Use a0.01 significance level to test the claim that under the samecircumstances, 27%of offspring peas will be yellow. Identify the nullhypothesis, alternativehypothesis, teststatistic, P-value, conclusion about the nullhypothesis, and final conclusion that addresses the original claim. Use theP-value method and the normal distribution as an approximation to the binomial distribution.

• What are the null and alternativehypotheses?

H0: p = 0.27

H1: p does not equal 0.27

• What is the teststatistic?

Z =

(Round to two decimal places asneeded.)

• What is theP-value?

P-value =

(Round to four decimal places asneeded.)

• What is the conclusion about the nullhypothesis? :Fail to reject the null hypothesis OR Reject the null hypothesis
• What is the finalconclusion?: There is OR There is not sufficient evidence to either warrant rejection OR support the claim?