A genetic experiment involving peas yielded one sample of offspring consisting of
410410
green peas and
179179
yellow peas. Use a
0.050.05
significance level to test the claim that under the same circumstances,
2727%
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.
What are the null and alternative hypotheses?
A.
Upper H 0 : p not equals 0.27H0: p≠0.27
Upper H 1 : p less than 0.27H1: p<0.27
B.
Upper H 0 : p not equals 0.27H0: p≠0.27
Upper H 1 : p greater than 0.27H1: p>0.27
C.
Upper H 0 : p equals 0.27H0: p=0.27
Upper H 1 : p not equals 0.27H1: p≠0.27
Your answer is correct.
D.
Upper H 0 : p equals 0.27H0: p=0.27
Upper H 1 : p less than 0.27H1: p<0.27
E.
Upper H 0 : p equals 0.27H0: p=0.27
Upper H 1 : p greater than 0.27H1: p>0.27
F.
Upper H 0 : p not equals 0.27H0: p≠0.27
Upper H 1 : p equals 0.27H1: p=0.27
What is the test statistic?
zequals=1.851.85
(Round to two decimal places as needed.)
What is the P-value?
(Round to four decimal places as needed.)
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