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
icon
Related questions
Question
Need help solving
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
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
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman