# Statistics

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According to a genetics model, plants of a particular species occur in the categories A, B, C, and D, in the ratio 9:3:3:1. The categories of different plants are mutually independent. At a lab that grows these plants, 218 are in Category A, 69 in Category B, 84 in Category C, and 29 in Category D.
Does the model look good?
Problem 1

The null hypothesis is:
The model is good.
The model isn't good.
Too many of the plants are in Category C.
The proportion of plants in Category A is expected to be 9/16; the difference in the sample is due to chance.

Problem 2

The alternative hypothesis is:
The model is good.
The model isn't good.
Too many of the plants are in Category C.
The proportion of plants in Category A is expected to be 9/16; the difference in the sample is due to chance.

Problem 3
Under the null, the expected number of plants in Category D is ______.

Problem 4
The chi-square statistic is closest to
1
1.5
2
2.5
3
3.5
4
4.5

Problem 5
Degrees of freedom = _______.

Problem 6
Based on this test, does the model look good?
Yes No

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Problem 1
The null hypothesis is:
The proportion of plants in Category A is expected to be 9/16; the difference in the sample is due to chance.

Problem 2
The alternative hypothesis is:
The model is good.

Problem 4
The chi-square statistic is closest to
2.5

Problem 5
Degrees of freedom = 3.

Problem 6
Based on this test, does the model look good?
Yes

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Problem 3?

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you're welcome

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Thanks, Walter DE

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@walter de u link doesn't work

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Under the null, the expected number of plants in Category D is ______.

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prob 1 - the model is good

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Under the null, the expected number of plants in Category D is ______.

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Problem 5
Degrees of freedom = _______.

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Problem 3, under null is 25 number of plants in Category D.

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thanks