Question

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.

- What is the null hypothesis for this test?
- What is the alternative hypothesis?
- Fill in the following table.

Card Color |
Observed |
Expected |
(O – E) |
(O-E) |
(O-E) |

Red |
160 |
||||

Black |
40 |
||||

Sum |
200 |
200 |
0 |
n/a |

- What is the value of X
^{2}for this data? - What is the number of degrees of freedom?
- Use the X
^{2}calculator to compute p (use the right tail option). Provide a screen shot of your calculation. - Does this value of p support the null hypothesis at the 10% significance level? (yes or no and explain using your numbers)

Answer #1

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

Please give me a thumbs-up if this helps you out. Thank you!
**:)**

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