Question

# 3. This problem is the check to see whether you understand the X-squared test. There are...

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.

1. What is the null hypothesis for this test?
2. What is the alternative hypothesis?
3. Fill in the following table.
 Card Color Observed Expected (O – E) (O-E)2 (O-E)2/E Red 160 Black 40 Sum 200 200 0 n/a
1. What is the value of X2 for this data?
2. What is the number of degrees of freedom?
3. Use the X2 calculator to compute p (use the right tail option). Provide a screen shot of your calculation.
4. Does this value of p support the null hypothesis at the 10% significance level? (yes or no and explain using your numbers)  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! :)

#### Earn Coins

Coins can be redeemed for fabulous gifts.