another plant having streaky petals. A geneticist states that 75% of the offspring from this cross will have red flowers. To test this claim, 100 seeds from this cross were collected and germinated, and 56 plants had red petals. Use the chi-square goodness-of-fit test to determine whether the sample data confirm the geneticist's prediction. (Use a = 0.01. Use p, for the probability of having red flowers and p₂ for the probability having streaky petals.) State the null and alternative hypotheses. Ho: P₁ = 0.56; P₂ = 0.44 H: At least one p, is different from the specified value. Ho: P₁ = 0.75; P₂ = 0.25 H: At least one p, is different from the specified value. OH: At least one p, is different from the specified value. H₂: P₁ = 0.56; P₂ = 0.44 O Ho: P₁ = P₂ = 0.5 H: At least one p, is different from 0.5. OH: At least one p, is different from the specified value.
another plant having streaky petals. A geneticist states that 75% of the offspring from this cross will have red flowers. To test this claim, 100 seeds from this cross were collected and germinated, and 56 plants had red petals. Use the chi-square goodness-of-fit test to determine whether the sample data confirm the geneticist's prediction. (Use a = 0.01. Use p, for the probability of having red flowers and p₂ for the probability having streaky petals.) State the null and alternative hypotheses. Ho: P₁ = 0.56; P₂ = 0.44 H: At least one p, is different from the specified value. Ho: P₁ = 0.75; P₂ = 0.25 H: At least one p, is different from the specified value. OH: At least one p, is different from the specified value. H₂: P₁ = 0.56; P₂ = 0.44 O Ho: P₁ = P₂ = 0.5 H: At least one p, is different from 0.5. OH: At least one p, is different from the specified value.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![A peony plant with red petals was crossed with another plant having streaky petals. A geneticist states that 75% of the offspring from this cross will have red flowers. To test this claim, 100 seeds from this cross were collected and germinated, and 56 plants had red petals. Use the chi-square goodness-of-fit test to determine whether the sample data confirm the geneticist's prediction. (Use α = 0.01. Use \( p_1 \) for the probability of having red flowers and \( p_2 \) for the probability of having streaky petals.)
State the null and alternative hypotheses.
- \( H_0: \, p_1 = 0.56; \, p_2 = 0.44 \)
\( H_a: \) At least one \( p_i \) is different from the specified value.
- \( H_0: \, p_1 = 0.75; \, p_2 = 0.25 \)
\( H_a: \) At least one \( p_i \) is different from the specified value.
- \( H_0: \) At least one \( p_i \) is different from the specified value.
\( H_a: \, p_1 = 0.56; \, p_2 = 0.44 \)
- \( H_0: \, p_1 = p_2 = 0.5 \)
\( H_a: \) At least one \( p_i \) is different from 0.5.
- \( H_0: \) At least one \( p_i \) is different from the specified value.
\( H_a: \, p_1 = 0.75; \, p_2 = 0.25 \)
Find the test statistic. (Round your answer to two decimal places.)
\[ X^2 = \text{\_\_\_\_\_\_} \]
Use the critical value approach to state the rejection region. (Round your answer to two decimal places.)
\[ X^2 > \text{\_\_\_\_\_\_} \]
State your conclusion.
- \( H_0 \) is not rejected. There is sufficient evidence to conclude that the geneticist's model is not correct.
- \( H_0 \) is not rejected. There is insufficient evidence to conclude that the geneticist's model is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93e02f2d-b0b4-40f2-b59c-ee2919cc5490%2Fdd702388-923c-4418-837c-67cbd764d5b0%2F3a5lne_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A peony plant with red petals was crossed with another plant having streaky petals. A geneticist states that 75% of the offspring from this cross will have red flowers. To test this claim, 100 seeds from this cross were collected and germinated, and 56 plants had red petals. Use the chi-square goodness-of-fit test to determine whether the sample data confirm the geneticist's prediction. (Use α = 0.01. Use \( p_1 \) for the probability of having red flowers and \( p_2 \) for the probability of having streaky petals.)
State the null and alternative hypotheses.
- \( H_0: \, p_1 = 0.56; \, p_2 = 0.44 \)
\( H_a: \) At least one \( p_i \) is different from the specified value.
- \( H_0: \, p_1 = 0.75; \, p_2 = 0.25 \)
\( H_a: \) At least one \( p_i \) is different from the specified value.
- \( H_0: \) At least one \( p_i \) is different from the specified value.
\( H_a: \, p_1 = 0.56; \, p_2 = 0.44 \)
- \( H_0: \, p_1 = p_2 = 0.5 \)
\( H_a: \) At least one \( p_i \) is different from 0.5.
- \( H_0: \) At least one \( p_i \) is different from the specified value.
\( H_a: \, p_1 = 0.75; \, p_2 = 0.25 \)
Find the test statistic. (Round your answer to two decimal places.)
\[ X^2 = \text{\_\_\_\_\_\_} \]
Use the critical value approach to state the rejection region. (Round your answer to two decimal places.)
\[ X^2 > \text{\_\_\_\_\_\_} \]
State your conclusion.
- \( H_0 \) is not rejected. There is sufficient evidence to conclude that the geneticist's model is not correct.
- \( H_0 \) is not rejected. There is insufficient evidence to conclude that the geneticist's model is
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