Question

Please show me the R outputs with the work

2. (10 pts) Textbook problem 10.5.2 only part a), page 389 Note that you are comparing the sex ratios, so when you input the data in R, you should make the data matrix as follows (because R compares columns with columns) Males Females 89 Site I 31 Site II 34 20 74 Open Ground 136 Write the null and alternative hypotheses in words Use R to run a chi-square test to compare the sex ratios at three sites. Show the R- output and write the conclusion in words. i. ii

Answer 1

i)

alpha = 0.05

Null and Alternate Hypothesis

H₀: The two variables (Site and Sex) are independent.

H₁: The two variables are dependent means associated.

ii)

xyz <- matrix(c(89,34,74,31,20,136), nrow=3,ncol=2)

     [,1] [,2]

[1,]   89   31

[2,]   34   20

[3,]   74 136

chisq.test(xyz,correct=FALSE)

We will use Pearson's Chi-squared test

data: xyz

X-squared = 49.741, df = 2, p-value = 1.581e-11

Result

Here p-value is less than 0.05, So we reject the null hypothesis means Site and Sex are assosciated.