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A genetic experiment involving peas yielded one sample of offspring consisting of 426 green peas and 126 yellow peas. Use a 0.05 significance level to test the claim that under the same circumstances, of offspring peas will be yellow. Identify the null hypothesis, altornative hypothosis, tost statistic, P -valuo, conctusion 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.

C.
E.
B.
D.
F.

Ask by Williams Moran. in the United States
Mar 21,2025

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The null hypothesis is and the alternative hypothesis is .

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The Deep Dive

To address your question, the null hypothesis usually states that there is no effect or that a population parameter is equal to a specified value, while the alternative hypothesis presents a claim that the parameter differs from that value. In this case:
The correct hypotheses would be:
(the proportion of yellow peas is 27%)
(the proportion of yellow peas is not 27%)
This set up tests whether there’s significant evidence to suggest that the actual proportion of yellow peas differs from 27%.
Now, let’s have some fun with this! Imagine that each yellow pea is like a golden nugget in a garden of green… but if there are too few nuggets, we might be growing a different crop altogether! The excitement of discovering whether our peas align with the anticipated ratio is just like a plot twist in a gardening mystery novel! Onward to uncover the truth of our pea population!

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