I need the test statistic and p-value please and please show work and formula. Thank you!
In an early Gregor Mendel’s study, he crossed two hybrid pea plants and recorded the
form (round or wrinkled) and albumen color (yellow or green) of the fertilized seed. He
theorized that these should appear in the following proportions
Round, Yellow Wrinkled, Yellow Round, Green Wrinkled, Green
9/16 3/16 3/16 1/16
The observed counts were as follows:
Round, Yellow Wrinkled, Yellow Round, Green Wrinkled, Green Total
315 101 108 32 556
0. What are the expected counts?
Round, Yellow Wrinkled, Yellow Round, Green Wrinkled, Green Total
556
Test to see if the observed counts confirm Mendel’s theory. Use ? = 0.05.
1. State the null and the alternative hypothesis using the proper notation established in class.
Ho:
Ha:
2. Is there a random sample?
Are all expected counts at least 5?
Proceed even if the conditions are not satisfied
3. What is the significance level?
How many degrees of freedom are associated with this problem?
df = _________
What is the value(s) of the critical value(s)? Look this value up on a table!
???
2 = ____
4. Calculate the value of the test statistic.
What is the value of the p-value? Illustrate the p-value on the graph in step 3.