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Difficult

Crossbred Flowers

GMAT-YM6DCG

Document 1: Data on Crossbred Flowers

Flower Type Numbers of Flowers Observed
I. Magenta flower with green stigma 170
II. Magenta flower with red stigma 72
III. Red flower with green stigma 47
IV. Red flower with red stigma 31

Document 2: Description of Chi-Squared Analysis

Document 3: Chi-Squared Table

Tail Probability p
df .25 .20 .15 .10 .05 .025 .02 .01 .005 .0025 .001 .0005
1 1.32 1.64 2.07 2.71 3.84 5.02 5.41 6.63 7.88 9.14 10.83 12.12
2 2.77 3.22 3.79 4.61 5.99 7.38 7.82 9.21 10.60 11.98 13.82 15.20
3 4.11 4.64 5.32 6.25 7.81 9.35 9.84 11.34 12.84 14.32 16.27 17.73
4 5.39 5.99 6.74 7.78 9.49 11.14 11.67 13.28 14.86 16.42 18.47 20.00
5 6.63 7.29 8.12 9.24 11.07 12.83 13.39 15.09 16.75 18.39 20.51 22.11

Consider each of the following statements. Does the information in the three sources support the inference as stated?

Yes

No

Yes

No

"There were more flowers of type II observed than the biologists expected."

Yes

No

"The total value of the chi-squared statistic for all four flower types is greater than 10."

Yes

No

"The biologists will be convinced that the flower types do not follow the 9:3:3:1 pattern."