In: Statistics and Probability
When interbreeding two strains of roses, we expect the hybrid to appear in three genetic classes in the ratio 1:3:4. If the results of an experiment yield 74 hybrids of the first type, 345 of the second type, and 379 of the third type, do we have sufficient evidence to reject the hypothesized genetic ratio at the .05 level of significance? (a) Find the test statistic. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give your answer bounds exactly.)
observed frequencey, O | expected proportion | expected frequency,E | (O-E)²/E | ||
74 | 0.125 | 99.75 | 6.647 | ||
345 | 0.375 | 299.25 | 6.994 | ||
379 | 0.500 | 399.00 | 1.003 |
chi square test statistic,X² = Σ(O-E)²/E =
14.64
level of significance, α= 0.05
Degree of freedom=k-1= 3 -
1 = 2
P value = 0.0007
Decision: P value < α, Reject Ho
so, these are not according to expexted ratio
.................
Please revert back in case of any doubt.
Please upvote. Thanks in advance.