Question 122520This question is from textbook Elementary Stastics
: Here is the question and the answer that I came up with. My answer does not match what the textbook shows is the correct answer (which is 0.738, yes). What did I do wrong?
11. Mendelian Genetics. When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of ¾ that was expected?
p0 = 428/(428 + 152) = 0.737931
Hypotheses: H0: p = 0.75 vs Ha: p 0.75
Level of Significance:
Decision Rule: Reject the null hypothesis if |z| > z0.025 = 1.956
Calculation: z = -0.67125
Conclusion: Since |z| < 1.956, the null hypothesis is not rejected. Therefore, there is insufficient evidence to conclude that the result is different from the probability of ¾ that was expected.
This question is from textbook Elementary Stastics
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Here is the question and the answer that I came up with. My answer does not match what the textbook shows is the correct answer (which is 0.738, yes). What did I do wrong?
11. Mendelian Genetics. When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of ¾ that was expected?
p0 = 428/(428 + 152) = 0.737931
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Your answer is the same as the correct answer.
If you round your answer of 0.737931 to three decimals you will
get 0.738.
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You are not asked to make a Hypothesis Test. It is not needed.
Cheers,
Stan H.
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