Biology – The roles of genes in determining the phenotype | e-Consult
The roles of genes in determining the phenotype (1 questions)
Answer 1
(a) Null hypothesis: There is no difference in the proportion of red flowers and white flowers in the plant population. Alternative hypothesis: There is a difference in the proportion of red flowers and white flowers in the plant population.
(b) The total number of plants is 100. The proportion of red flowers is 45/100 = 0.45. The proportion of white flowers is 55/100 = 0.55. Therefore, the expected numbers are:
- Expected Red: 0.45 * 100 = 45
- Expected White: 0.55 * 100 = 55
(c) The chi-squared statistic is calculated as:
(d) The degrees of freedom (df) are calculated as (number of categories - 1). In this case, there are 2 categories (red and white flowers), so df = 2 - 1 = 1.
(e) The critical value for a chi-squared test with 1 degree of freedom at a 5% level of significance (alpha = 0.05) is 3.841.
(f) Since the calculated chi-squared statistic (0) is less than the critical value (3.841), we fail to reject the null hypothesis. Therefore, there is no statistically significant difference in the proportion of red flowers and white flowers in the plant population.