A dihybrid cross is expected to produce a 9:3:3:1 phenotype ratio. The observed counts for 160 offspring are shown. What is the approximate chi-square value?
- A1.20; only the third class contribution
- B0.18; only the first class contribution approximated
- C3.84; a common critical value, not this statistic
- D4.98; the sum of all four chi-square termscorrect
Why D is correct
Expected counts are 90, 30, 30, and 10. Chi-square = 4/90 + 4/30 + 36/30 + 36/10 = approximately 4.98.
The stem asks for a numerical or quantitative judgment: "A dihybrid cross is expected to produce a 9:3:3:1 phenotype ratio. The observed counts for 160 offspring are...". The safe route is to identify the counted event, use the full denominator, and then interpret the number biologically. Here the worked reasoning is Expected counts are 90, 30, 30, and 10, so choices based on 1.20; only the third class contribution or 0.18; only the first class contribution approximated lose the required setup.
Common mistakes. Do not stop at a nearby term such as 1.20; only the third class contribution or 0.18; only the first class contribution approximated. The explanation has to make "4.98; the sum of all four chi-square terms" fit this stem clue: "A dihybrid cross is expected to produce a 9:3:3:1 phenotype ratio. The observed counts...".