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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The next thing you are interested in knowing is if the sex ratio of the crab population in the Edisto river is 1:1 (1 male : 1 female), as we would expect it to be based on our knowledge that the probability of a fertilized egg being XX (female) or XY (male) is 50%. To estimate the sex ratio from the data collected we will use the total number of adult male and adult female crabs caught from the Edisto river. 1a. Write a statistical null hypothesis for this problem: 1b. Write a statistical alternate hypothesis for this problem: 1c. Which statistical test should you use to find out if there is a significant difference between what we observed and what we expected? Before answering, consider the following: a. Our dependent variable in this question is the ratio of adult males to adult females caught during the entire study (i.e. counts) b. We are comparing what we observed and actually counted to a model, what we expect to find. c. Which test should you choose?

Expert Solution

Step 1: Given Information

The objective of the study is to determine if the sex ratio of the crab population in the Edisto River is 1:1 (1 male: 1 female).

The expected proportion of fertilized eggs being female or male is, $p = 50% = 0.5$

The additional information on the study is as follows,

The dependent variable in this question is the ratio of adult males to adult females caught during the entire study (i.e., counts).
The comparison is between what is observed and actually counted in a model