MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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7.

A genetic experiment involving peas yielded one sample of offspring consisting of 445 green peas and 164 yellow peas. Use a 0.01 significance level to test the claim that under
the same circumstances, 23% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and
final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
What are the null and alternative hypotheses?
О А. Но: р-0.23
О В. Но: р-0.23
H1:p<0.23
H1:p>0.23
Ос. Но: р#0.23
H1: p= 0.23
O D. Ho: p=0.23
H4:p#0.23
O E. Ho: p+0.23
O F. Ho: p#0.23
H1:p<0.23
H1:p>0.23
What is the test statistic?
(Round to two decimal places as needed.)
What is the P-value?
P-value =
(Round to four decimal places as needed.)
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Transcribed Image Text:A genetic experiment involving peas yielded one sample of offspring consisting of 445 green peas and 164 yellow peas. Use a 0.01 significance level to test the claim that under the same circumstances, 23% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. What are the null and alternative hypotheses? О А. Но: р-0.23 О В. Но: р-0.23 H1:p<0.23 H1:p>0.23 Ос. Но: р#0.23 H1: p= 0.23 O D. Ho: p=0.23 H4:p#0.23 O E. Ho: p+0.23 O F. Ho: p#0.23 H1:p<0.23 H1:p>0.23 What is the test statistic? (Round to two decimal places as needed.) What is the P-value? P-value = (Round to four decimal places as needed.)
What is the conclusion about the null hypothesis?
A. Reject the null hypothesis because the P-value is greater than the significance level, a.
B. Reject the null hypothesis because the P-value is less than or equal to the significance level, a.
C. Fail to reject the null hypothesis because the P-value is greater than the significance level, .
D. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, .
What is the final conclusion?
A. There is not sufficient evidence to support the claim that less than 23% of offspring peas will be yellow.
B. There is sufficient evidence to support the claim that less than 23% of offspring peas will be yellow.
C. There is sufficient evidence to warrant rejection of the claim that 23% of offspring peas will be yellow.
D. There is not sufficient evidence to warrant rejection of the claim that 23% of offspring peas will be yellow.
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Transcribed Image Text:What is the conclusion about the null hypothesis? A. Reject the null hypothesis because the P-value is greater than the significance level, a. B. Reject the null hypothesis because the P-value is less than or equal to the significance level, a. C. Fail to reject the null hypothesis because the P-value is greater than the significance level, . D. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, . What is the final conclusion? A. There is not sufficient evidence to support the claim that less than 23% of offspring peas will be yellow. B. There is sufficient evidence to support the claim that less than 23% of offspring peas will be yellow. C. There is sufficient evidence to warrant rejection of the claim that 23% of offspring peas will be yellow. D. There is not sufficient evidence to warrant rejection of the claim that 23% of offspring peas will be yellow.
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