Offspring of certain fruit flies may have yellow or ebony bodies and normal wings or short wings. Genetic theory predicts that these traits will appear in the ratio 9:3:3:1 (9 yellow, normal: 3 yellow, short: 3 ebony, normal: 1 ebony, short). A researcher checks 84 such flies and finds the distribution of the traits to be 43,14,18, and 9, respectively. Are the results this researcher observed consistent with the theoretical distribution predicted by the genetic model? Perform an appropriate test and state your conclusion in context. Use = .025 significance level. Report all answers accurate to 1 decimal place unless directed otherwise. H, : The fruit flies are in ratio 9:3:3:1 Ha: The fruit flies are not in ratio 9:3: 3:1 Complete the table. Observed Expected Frequency Frequency Category Y-N 43 Y-S 14 E-N 18 E-S 9

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Offspring of certain fruit flies may have yellow or ebony bodies and normal wings or short wings.
Genetic theory predicts that these traits will appear in the ratio 9:3:3:1
(9 yellow, normal: 3 yellow, short: 3 ebony, normal: 1 ebony, short).
A researcher checks 84 such flies and finds the distribution of the traits to be 43,14,18, and 9,
respectively.
Are the results this researcher observed consistent with the theoretical distribution predicted by the
genetic model?
Perform an appropriate test and state your conclusion in context. Use a = .025 significance level.
Report all answers accurate to 1 decimal place unless directed otherwise.
H, : The fruit flies are in ratio 9:3:3:1
H. : The fruit flies are not in ratio 9:3:3:1
Complete the table.
Observed Expected
Frequency Frequency
Category
Y-N
43
Y-S
14
E-N
18
E-S
9.
Transcribed Image Text:Offspring of certain fruit flies may have yellow or ebony bodies and normal wings or short wings. Genetic theory predicts that these traits will appear in the ratio 9:3:3:1 (9 yellow, normal: 3 yellow, short: 3 ebony, normal: 1 ebony, short). A researcher checks 84 such flies and finds the distribution of the traits to be 43,14,18, and 9, respectively. Are the results this researcher observed consistent with the theoretical distribution predicted by the genetic model? Perform an appropriate test and state your conclusion in context. Use a = .025 significance level. Report all answers accurate to 1 decimal place unless directed otherwise. H, : The fruit flies are in ratio 9:3:3:1 H. : The fruit flies are not in ratio 9:3:3:1 Complete the table. Observed Expected Frequency Frequency Category Y-N 43 Y-S 14 E-N 18 E-S 9.
What is the chi-square test-statistic for this data?
What are the degrees of freedom?
What is the P-value?
round to 4 decimals
The P-value = :
O Less than a
Greater than a
What is your decision?
Reject the null hypothesis.
Fail to reject the null hypothesis.
State the conclusion in context:
Base on the sample data, there is not sufficient evidence to conclude the fruit flies are not in
ratio 9:3:3:1 at the significant level of a =
.025.
Base on the sample data, there is sufficient evidence to conclude the fruit flies are not in ratio
9:3:3:1 at the significant level of a = .025.
%3D
Transcribed Image Text:What is the chi-square test-statistic for this data? What are the degrees of freedom? What is the P-value? round to 4 decimals The P-value = : O Less than a Greater than a What is your decision? Reject the null hypothesis. Fail to reject the null hypothesis. State the conclusion in context: Base on the sample data, there is not sufficient evidence to conclude the fruit flies are not in ratio 9:3:3:1 at the significant level of a = .025. Base on the sample data, there is sufficient evidence to conclude the fruit flies are not in ratio 9:3:3:1 at the significant level of a = .025. %3D
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