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 33 of them produce a red flowering...


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 33 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 ≠ 0.25

H0: p̂ = 0.25 vs. HA: p̂ ≠ 0.25

H0: p = 0.25 vs. HA: p ≠ 0.25

H0: μ = 0.25 vs. HA: μ ≠ 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.



Jun 10, 2022
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