@apologiabiology
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Answer:
The sample data confirm the geneticist's prediction that 75% of the offspring from this cross will have red flowers.
Step-by-step explanation:
A Chi-square goodness of fit test can be used to test the claim made by the geneticist.
The hypothesis is defined as:
<em>H₀</em>: There is no difference between the observed and expected value,i.e. <em>p</em>₁ < 0.75.
<em>Hₐ</em>: There is a significant difference between the observed and expected value, i.e. <em>p</em>₁ > 0.75.
The test statistic is:
Consider the tables attached below.
The value of the test statistic is:
The critical value is:
*Use a Chi-square table.
The critical region is:
The test statistic value of 25.8133 lies in the critical region.
The null hypothesis is rejected at 1% level of significance.
<u>Conclusion</u>:
As the null hypothesis is rejected it can be concluded that 75% of the offspring from this cross will have red flowers.
<u>Given:</u>
An isosceles trapezoid has a perimeter of 37 centimeters. Its shorter base measures 3 centimeters and its longer base measures 4 centimeters. The two remaining sides have the same length.
We need to determine the lengths.
<u>Length of the remaining sides:</u>
Let the length of the sides of the isosceles trapezoid be x.
Let a be the length of the shorter base.
Let b be the length of the longer base.
Thus, we have;
The formula to determine the length of the sides is given by
Substituting the values, we get;
Thus, the length of the sides of the isosceles trapezoid is 15 centimeters.