A genetic theory says that a cross between two pink flowering plants will produce red flowering plants 25% of the time. To test the theory, 100 crosses are made and 37 of them produce a red flowering plant. Is this strong evidence that the theory is wrong?
A genetic theory says that a cross between two pink flowering plants will produce red flowering plants 25% of the time. To test the theory, 100 crosses are made and 37 of them produce a red flowering plant. Is this strong evidence that the theory is wrong?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A genetic theory says that a cross between two pink flowering plants will produce red flowering plants 25% of the time. To test the theory, 100 crosses are made and 37 of them produce a red flowering plant. Is this strong evidence that the theory is wrong? Carry out the appropriate hypothesis test at the 5% significance level.
The appropriate hypothesis for this test is
H0: x = 0.25 vs. HA: x ≠ 0.25H0: μ = 0.25 vs. HA: μ ≠ 0.25 H0: p̂ = 0.25 vs. HA: p̂ ≠ 0.25H0: p = 0.25 vs. HA: p ≠ 0.25
The test statistic is (to two places after decimal)
the p-value is (to three places after decimal)
There enough statistical evidence to conclude that the theory is wrong.
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