Answer:
Null hypothesis: There is no statistically significant difference between our expected and observed values.
Degree of freedom: 1
Chi squared: 1.333
Null hypothesis is supported since our chi squared value is lower than our critical value, there are no statistically significant difference
Explanation:
<em>The Null hypothesis is a hypothesis that stipulates that there is no difference between the population being compared during statistical analyses/tests. Hence, in this case, the Null hypothesis posits that there is no significant difference between the expected and the observed phenotypic ratio.</em>
Degree of freedom is calculated as n-1, where <em>n = number of phenotypes</em> in this case. Hence, Degree of freedom = 2 - 1 which is equal to 1.
<em>Chi square () = </em>
Since purple is dominant over white, the phenotype of the offspring should be 3:1 purple:white according to law of segregation. Hence, since there are 100 offspring in total;
<em>Expected frequencies: purple 75, white 25</em>
<em>Observed frequencies: purple 70, white 30</em>
() white = = 1
() purple = = 0.33
Hence, total () = 1.33
The decision rule is such that;
- <em>If calculated () value is greater than critical value, the Null hypothesis is supported. If it is otherwise, the Null hypothesis is supported.</em>
In this case, the calculated () value is 1.33 and the critical value is 3.841, hence calculated value is less than the critical value. <em>The Null hypothesis is supported. </em>