Assume you are Gregoc Mendel and have performed one of his pea plant experiments
ID: 3167196 • Letter: A
Question
Assume you are Gregoc Mendel and have performed one of his pea plant experiments. You conduct a dihybrid cross with two heterozygotes (RrYy) for the genes of texture and color. Round peas (R) are dominant to wrinkled peas () and yellow peas s (M are dominant to green peas (v). You are testing to see whether the observed phenotypic ratio of peas matches the expected. (Hint: This is very similar to what we did in Lab 9). 1. What are the null (He) and alternate (HA) hypotheses for this experiment? (5 pts) ?.Ho: b. HA: 2. Complete the table below, assuming you've counted the number of peas indicated: (8 pts) Observed Expected O-E (o-E (0-E) Smooth, Yellow 549 Smooth, Green 198 Wrinkled, Yellow 213 Wrinkled, Green 70 Total 3. What is the X? value (XCALC)(2pts) 4. Using the table below, and a significance level of 0.05, what is the X? critical value (KcRT)? -(2pts) Significance Level (a-level) 0.02 0.01 11.345 948811668 13.277 df 2 0.50 0.10 0.001 0.05 1.3864.605517.8 24 9.210 13.815 16.268 6.251 7.779 2.366 7.815 9.837 357 18.465 5 43519236 11070 13.388 15086 20.517 5. Based on your results, do you accept or reject the nul hypothesis (Ho)? (2pts) 6. Why? (3pts)Explanation / Answer
Please find the answers below:
Answer 1: The hypotheses statements can be formulated as:
HO= The observed numbers are of statistical significance and do not appear by mere chance.
HA = The observed numbers are of no statistical significance and appear by mere chance.
Answer 2: The table can be completed as below:
Answer 3: Thus, value of chi square is given by: 331+13+136+97 = 577
Answer 4: As given in the table, the value of significance for this extremely high value of chi square would be much higher than expected at the significance level of 0.05. This states that the data is not statistically significant in nature. Thus, the null hypothesis is rejected.
Observed Expected O -E (O-E)2 (O-E)2/2 Smooth, yellow 549 257 292 85264 331 Smooth, green 198 257 59 3481 13 wrinkled, yellow 213 257 44 1936 136 wrinkled, green 70 257 187 34969 97