Answered: As our planet warms, the change in…

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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As our planet warms, the change in temperature will have major effects on life. One of the possibilities for what might happen to a species is that species can move closer to the poles so that it experienced temperatures closer to what it has experienced in the past. A recent study of the range of limits of European butterflies found that, of 24 species that had changed their ranges in the last 100 years, 22 of them had moved further north and only two had moved further south. Assume that these 24 species are a random sample of butterfly species. Conduct a binomial test to test the hypothesis that the fraction of butterfly species moving north is different from the fraction moving south.

Write the null and alternative hypothesis for the binomial test. (hint: null hypothesis is that the chance of species moving north or south is the same)

Null hypothesis=
Alternative hypothesis=

What is the observed value for the test statistics of the binomial test? (hint: it’s he number of species changing their locations)

List all possible outcomes in which the number of butterfly species moving north is greater than the 22 observed.

Use R to conduct the binomial test and determine the p-value.

Interpret the p-value and state the conclusion from your test (hint: Can you reject the null hypothesis? Did butterfly species move north?)

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