3. This problem is the check to see whether you understand the X-squared test. There are only 2 test columns, so you cannot use the X-squared Goodness of Fit applet from the previous problem as it requires 3 or more test intervals.
You are told that a genetics theory says the ratio of tall:short plants is 3:1. You test this claim by growing 200 plants. You obtain 160 tall plants and 40 short plants. Using a X-squared test, determine whether or not your results supports the tall:short = 3:1 claim.
Card Color |
Observed |
Expected |
(O – E) |
(O-E)2 |
(O-E)2/E |
Red |
160 |
||||
Black |
40 |
||||
Sum |
200 |
200 |
0 |
n/a |
X^2 = 2.6667
df = 1
p-value = 0.1025
since p-value > alpha
we fail to reject the null hypothesis
we conclude that this value of p supports the null hypothesis at
the 10% significance level
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