A genetic experiment involving peas yielded one sample of offspring consisting of 415 green peas and 137 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 27% 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.

The test statistic is z =____

(Round to two decimal places as needed.)

The P-value is____

(Round to four decimal places as needed.)