Testing Hypotheses about Frequencies 57 7.3 In a genetic experiment involving fl

Question

Testing Hypotheses about Frequencies 57 7.3 In a genetic experiment involving flower color in phlox, a ratio of 3 blue-flowered plants to 1 white- flowered plant was expected. The observed results were 35 blue-flowered plants and 14 white-flowered plants. Does the observed ra differ significantly from the expected ratio? 4 Suppose that in exercise 7.3 a ratio of 61 blue- flowered plants to 22 white-flowered plants was observed. Does the observed ratio diffe significantly from the expected ratio? In 102 tosses of 4 coins, the following resul vere obtained. (Note that you'll need to uset Binomial distribution [section 5.4] to determi nocted freauencies.)

Explanation / Answer

7.3 H0: The observed ration is not differ significantly from the expected ratio

H1: The observed ration is differ significantly from the expected ratio

Let the los be alpha = 5%

The chisquare contribution values are

Num Categories: 2
Degrees of freedom: 1

Test Statistic, X^2: 0.3333
Critical X^2: 3.841456
P-Value: 0.5637

Here P-value > alpha 0.05, so we accept H0

Thus we conclude that  The observed ration is not differ significantly from the expected ratio

7.4.

H0: The observed ration is not differ significantly from the expected ratio

H1: The observed ration is differ significantly from the expected ratio

Let the los be alpha = 5%

The chisquare contribution values are

Num Categories: 2
Degrees of freedom: 1

Test Statistic, X^2: 0.1004
Critical X^2: 3.841456
P-Value: 0.7513

Here p-value > alpha 0.05, so we accept H0

Thus we conclude that  The observed ration is not differ significantly from the expected ratio

Observed (Oi) Raio Expect (Ei) (Oi-Ei)^2/Ei Blue 35 3 36.75 0.083333333 White 14 1 12.25 0.25 Total: 49 4 49 0.333333333

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