in one hybridization experiment, 8154 offspring peas were obtained, and 22.85% o
ID: 3323893 • Letter: I
Question
in one hybridization experiment, 8154 offspring peas were obtained, and 22.85% of them had green flowers. The others had white flowers. Consider a hypothesis test that uses a 0.05 significance level to test the claim that green-flowered peas occur at a rate of 24%. Use this information to answer the following questions 1. Test Statistic? 2. Critical Values? 3. P-value? 4. Conclusion? Reject or fail to reject. 5. Can a hypothesis test be used to "prove" that the rate of green-flowered peas is 25%, as claimed?
Explanation / Answer
solution=
(1) The test statistic is a z-score where
z(0.2285)
z = (p-p) / (p (1-p) / n) = (0.2285 - 0.24) / (0.24(0.76) / 8154) = -2.431
(2) The critical values are the significance level, = 0.05.
(3) What is the p-value?
P-value = 2*P(z < -2.431 ) = 2*normalcdf(-100,-2.431) = 0.0151
(4)Conclusion
Since the p-value is so close to 5% the test results are conclusive
at the 5% level of significance.
The P-Value is 0.007549.
The result is significant at p < 0.05.
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