A researcher has developed a theoretical model for predicting eye color. After examining a random sample of parents, she predicts the eye color of the first child. The table below lists the eye colors of offspring. Based on her theory, she predicted that 87% of the offspring would have brown eyes, 8% would have blue eyes, and 5% would have green eyes. Use a 0.05 significance level to test the claim that the actual frequencies correspond to her predicted distribution. Brown Eyes Blue Eyes Green Eyes Frequency 135 20 0 a. State Upper H 0 . A. p Subscript Brown Baseline equals 0.87 comma p Subscript Blue Baseline equals 0.08 comma p Subscript Green Baseline equals 0.05 B. p Subscript Brown Baseline equals 0.87 comma p Subscript Blue Baseline equals 0.05 comma p Subscript Green Baseline equals 0.08 C. p Subscript Brown Baseline equals 0.08 comma p Subscript Blue Baseline equals 0.87 comma p Subscript Green Baseline equals 0.05 D. p Subscript Brown Baseline equals 87 comma p Subscript Blue Baseline equals 8 comma p Subscript Green Baseline equals 5 b. Find the sum of the observed frequencies: nothing (enter a whole number) c. Calculate the expected frequency for each color (give 2 decimal places) Brown: nothing Blue: nothing Green: nothing d. Calculate the test statistic. Which of these options is closest to its value? A. chi squared equals 11.52 B. chi squared equals 12.41 C. chi squared equals 11.05 D. chi squared equals 13.38 e. State the value of the critical value: nothing (give 3 decimal places) f. State the technical conclusion. A. Do not reject Upper H 0 B. Reject Upper H 0 g. State the final conclusion. A. There is sufficient evidence to warrant rejection of the claim. B. There is not sufficient sample evidence to support the claim. C. There is not sufficient evidence to warrant rejection of the claim. D. The sample data support the claim. h. Does her theoretical model appear to be accurate?
A researcher has developed a theoretical model for predicting eye color. After examining a random sample of parents, she predicts the eye color of the first child. The table below lists the eye colors of offspring. Based on her theory, she predicted that 87% of the offspring would have brown eyes, 8% would have blue eyes, and 5% would have green eyes. Use a 0.05 significance level to test the claim that the actual frequencies correspond to her predicted distribution. Brown Eyes Blue Eyes Green Eyes Frequency 135 20 0 a. State Upper H 0 . A. p Subscript Brown Baseline equals 0.87 comma p Subscript Blue Baseline equals 0.08 comma p Subscript Green Baseline equals 0.05 B. p Subscript Brown Baseline equals 0.87 comma p Subscript Blue Baseline equals 0.05 comma p Subscript Green Baseline equals 0.08 C. p Subscript Brown Baseline equals 0.08 comma p Subscript Blue Baseline equals 0.87 comma p Subscript Green Baseline equals 0.05 D. p Subscript Brown Baseline equals 87 comma p Subscript Blue Baseline equals 8 comma p Subscript Green Baseline equals 5 b. Find the sum of the observed frequencies: nothing (enter a whole number) c. Calculate the expected frequency for each color (give 2 decimal places) Brown: nothing Blue: nothing Green: nothing d. Calculate the test statistic. Which of these options is closest to its value? A. chi squared equals 11.52 B. chi squared equals 12.41 C. chi squared equals 11.05 D. chi squared equals 13.38 e. State the value of the critical value: nothing (give 3 decimal places) f. State the technical conclusion. A. Do not reject Upper H 0 B. Reject Upper H 0 g. State the final conclusion. A. There is sufficient evidence to warrant rejection of the claim. B. There is not sufficient sample evidence to support the claim. C. There is not sufficient evidence to warrant rejection of the claim. D. The sample data support the claim. h. Does her theoretical model appear to be accurate?
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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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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A researcher has developed a theoretical model for predicting eye color. After examining a random sample of parents, she predicts the eye color of the first child. The table below lists the eye colors of offspring. Based on her theory, she predicted that 87% of the offspring would have brown eyes, 8% would have blue eyes, and 5% would have green eyes. Use a 0.05 significance level to test the claim that the actual frequencies correspond to her predicted distribution.
Brown Eyes Blue Eyes Green Eyes
Frequency
135
20
a. State
Upper H 0
.
A.
p Subscript Brown Baseline equals 0.87 comma p Subscript Blue Baseline equals 0.08 comma p Subscript Green Baseline equals 0.05
B.
p Subscript Brown Baseline equals 0.87 comma p Subscript Blue Baseline equals 0.05 comma p Subscript Green Baseline equals 0.08
C.
p Subscript Brown Baseline equals 0.08 comma p Subscript Blue Baseline equals 0.87 comma p Subscript Green Baseline equals 0.05
D.
p Subscript Brown Baseline equals 87 comma p Subscript Blue Baseline equals 8 comma p Subscript Green Baseline equals 5
b. Find the sum of the observed frequencies:
nothing
c. Calculate the expected frequency for each color (give 2 decimal places)
Brown:
nothing
Blue:
nothing
Green: nothing
d. Calculate the test statistic. Which of these options is closest to its value?
A.
chi squared equals
11.52
B.
chi squared equals
12.41
C.
chi squared equals
11.05
D.
chi squared equals
13.38
e. State the value of the critical value:
nothing
f. State the technical conclusion.
A.
Do not reject Upper H 0
B.
Reject Upper H 0
g. State the final conclusion.
A.
There is sufficient evidence to warrant rejection of the claim.
B.
There is not sufficient sample evidence to support the claim.
C.
There is not sufficient evidence to warrant rejection of the claim.
D.
The sample data support the claim.
h. Does her theoretical model appear to be accurate?
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