Textbook Question
Consider the cross AaBbCC × AABbCc.
Use a Punnett square to predict the expected ratio of offspring phenotypes.
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Ch. 2 - Transmission Genetics
Sanders3rd EditionGenetic Analysis: An Integrated ApproachISBN: 9780135564172
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Table of contents
- Ch. 1 - The Molecular Basis of Heredity, Variation, and Evolution64
- Ch. 2 - Transmission Genetics144
- Ch. 3 - Cell Division and Chromosome Heredity81
- Ch. 4 - Gene Interaction87
- Ch. 5 - Genetic Linkage and Mapping in Eukaryotes103
- Ch. 6 - Genetic Analysis and Mapping in Bacteria and Bacteriophages73
- Ch. 7 - DNA Structure and Replication71
- Ch. 8 - Molecular Biology of Transcription and RNA Processing79
- Ch. 9 - The Molecular Biology of Translation110
- Ch. 10 - Eukaryotic Chromosome Abnormalities and Molecular Organization100
- Ch. 11 - Gene Mutation, DNA Repair, and Homologous Recombination86
- Ch. 12 - Regulation of Gene Expression in Bacteria and Bacteriophage90
- Ch. 13 - Regulation of Gene Expression in Eukaryotes38
- Ch. 14 - Analysis of Gene Function via Forward Genetics and Reverse Genetics72
- Ch. 15 - Recombinant DNA Technology and Its Applications69
- Ch. 16 - Genomics: Genetics from a Whole-Genome Perspective49
- Ch. 17 - Organelle Inheritance and the Evolution of Organelle Genomes27
- Ch. 18 - Developmental Genetics43
- Ch. 19 - Genetic Analysis of Quantitative Traits66
- Ch. 20 - Population Genetics and Evolution at the Population, Species, and Molecular Levels105
Sanders3rd EditionGenetic Analysis: An Integrated ApproachISBN: 9780135564172Not the one you use?Change textbook
Chapter 2, Problem 7b
If a chi-square test produces a chi-square value of 7.83 with 4 degrees of freedom,
Is the result sufficient to reject the chance hypothesis?
Verified step by step guidance1
Determine the null hypothesis: The null hypothesis (H₀) assumes that the observed data fits the expected distribution, meaning any differences are due to random chance.
Identify the degrees of freedom (df): The problem states that there are 4 degrees of freedom. Degrees of freedom are typically calculated as the number of categories minus 1.
Locate the critical value: Use a chi-square distribution table to find the critical value for 4 degrees of freedom at a chosen significance level (commonly α = 0.05).
Compare the chi-square value to the critical value: If the chi-square value (7.83) is greater than the critical value from the table, the null hypothesis is rejected. Otherwise, it is not rejected.
Conclude the result: Based on the comparison, determine whether the result is sufficient to reject the chance hypothesis. If the null hypothesis is rejected, it suggests that the observed data significantly deviates from the expected distribution.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Chi-Square Test
The chi-square test is a statistical method used to determine if there is a significant association between categorical variables. It compares the observed frequencies in each category to the expected frequencies under the null hypothesis, which posits no association. A higher chi-square value indicates a greater discrepancy between observed and expected values.
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Chi Square Analysis
Degrees of Freedom
Degrees of freedom (df) in a chi-square test refer to the number of independent values that can vary in the analysis. It is calculated as the number of categories minus one for goodness-of-fit tests or as the product of (rows - 1) and (columns - 1) for contingency tables. In this case, with 4 degrees of freedom, it indicates the complexity of the data being analyzed.
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Critical Value
The critical value in a chi-square test is the threshold that the chi-square statistic must exceed to reject the null hypothesis. This value is determined based on the chosen significance level (commonly 0.05) and the degrees of freedom. For 4 degrees of freedom, the critical value is approximately 9.488, meaning a chi-square value of 7.83 does not provide sufficient evidence to reject the chance hypothesis.
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Related Practice
Textbook Question
Consider the cross AaBbCC × AABbCc.
Use the forked-line method to predict the expected ratio of offspring phenotypes.
1176
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Textbook Question
If a chi-square test produces a chi-square value of 7.83 with 4 degrees of freedom,
In what interval range does the P value fall?
541
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Textbook Question
If a chi-square test produces a chi-square value of 7.83 with 4 degrees of freedom,
Above what chi-square value would you reject the chance hypothesis for an experiment with 7 degrees of freedom?
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Textbook Question
Determine whether the statements below are true or false. If a statement is false, provide the correct information or revise the statement to make it correct.
If a dihybrid cross is performed, the expected genotypic ratio is 9:3:3:1.
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Textbook Question
Determine whether the statements below are true or false. If a statement is false, provide the correct information or revise the statement to make it correct.
A student uses the product rule to predict that the probability of flipping a coin twice and getting a head and then a tail is 1/4.
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