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

Question

A genetic experiment involving peas yielded one sample of offspring consisting of 434 green peas and 179 yellow peas. Use a 0.05 significance level to test the claim that under the same? circumstances, 25?% 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.

Test Statistic (two decimal places) and P-Value (four decimal places)

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.25
HA : p ? 0.25

Hypothesis test results:

Hence,

Hypotheses:

H0 : p = 0.25
HA : p ? 0.25

Test statistic = 2.40

P - value = 0.0163

Reject the null

There is sufficient evidence to reject the claim that 25?% of offspring peas will be yellow.

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