Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the apple slices. So he conducted a study where he used a peanut butter-oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different voles. Indicate which of the following is the null hypothesis, and which is the alternate hypothesis. There food preferences among vole species are independent of one another. There is a relationship between voles and food preference. To test for independence, we need to calculate the Chi-square statistic. These are the data that Dr. Pagels collected: meadow voles common voles apple slices 15 21 peanut butter-oatmeal 25 16

Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the apple slices. So he conducted a study where he used a peanut butter-oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different voles. Indicate which of the following is the null hypothesis, and which is the alternate hypothesis. There food preferences among vole species are independent of one another. There is a relationship between voles and food preference. To test for independence, we need to calculate the Chi-square statistic. These are the data that Dr. Pagels collected: meadow voles common voles apple slices 15 21 peanut butter-oatmeal 25 16

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

Question 8: Can you answer all the parts to this question with all the answers bolded for part you're answering or clearly showing which part you're answering. The second part of the question is in the second image.

Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the apple slices. So he conducted a study where he used a peanut butter-oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different voles.

Indicate which of the following is the null hypothesis, and which is the alternate hypothesis.

There food preferences among vole species are independent of one another. [ ]

There is a relationship between voles and food preference. [ ]

To test for independence, we need to calculate the Chi-square statistic.

These are the data that Dr. Pagels collected:

| | Meadow Voles | Common Voles |
|----------------|--------------|--------------|
| Apple Slices | 15 | 21 |
| Peanut Butter-Oatmeal | 25 | 16 |

- You will want to use Excel (or Google Sheets) to do the calculations for you, so that your answers are exact (they need to be exact to get credit). [Here is a Google sheet to get you started](#).
- When transferring your answers, make sure you carry them out to AT LEAST SIX SIGNIFICANT FIGURES unless otherwise stated.
- **Round your final answer to 4 decimal places**

1. [Textbox] = expected meadow vole/apple slices
2. [Textbox] = expected common vole/apple slices
3. [Textbox] = expected meadow vole/peanut butter-oatmeal
4. [Textbox] = expected common vole/peanut butter-oatmeal
5. [Textbox] = chi-square value
6. [Textbox] = degrees of freedom (whole number only)
7. [Textbox] = using Statistical Table A (pg 704 of your textbook), what is the chi-square critical value with significance level of α=0.05? (report exactly the value in the table)
8. [Textbox] = will you reject or fail to reject the null hypothesis? (answer either reject or fail to reject)

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