Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Mendel\'s First Law. In one famous experiment with peas, he crossed pure breeds

ID: 3229361 • Letter: M

Question

Mendel's First Law. In one famous experiment with peas, he crossed pure breeds of tall and dwarf pea plants. The first-generation pea plants were all tall. In the second generation (F2), he obtained 787 tall plants and 277 dwarf plants. Mendel's first law of inheritance is a model with a dominant and recessive phenotype. The first law says that we can expect a 3:1 ratio, that is, 3/4 with the dominant and 1/4 with the recessive phenotype, in F2. a) Set up your Hypothesis. Null Hypothesis Alternative Hypothesis b) Are the conditions for a chi-square goodness-of-fit test satisfied? c) Obtain the test statistic and the P-value. Test Statistic P-Value d) Explain the Expected Count determined and your conclusion relating to whether this data supports Mendel's First Law.

Explanation / Answer

null hypothesis: dominant proportion =3/4 ; recessive proportion =1/4

alternate hypothesis: theie proportion are different then above.

b) Yes as expected value in cell is above 5.

c_

X2 =0.6065

p value =0.4361

d)as P value is significantl;y higher then 0.05 level we can not reject null hypothesis.

And conclude that above distribution follows Mandel proposed law of inheritance.

observed Expected Chi square Probability O E=total*p =(O-E)^2/E dominant 3/4 787.000 798.00 0.15 recessive 1/4 277.000 266.00 0.45 1 1064 1064 0.6065