Is the proportion of women statistically significantly different from 0.48 in the high anchor group? Carry out a hypothesis test step-by-step with your own calculations (you can use R for these) and also present the formulas you used. Use anlevel of 0.05. Do conclusions change if you use anlevel of 0.1? Compare your results with the output from anRfunction that you find appropriate to answer this question. Please use two-sided tests.

* I have already done the data, please interpret above and explain statistically the question.

"p-value: 0.0041"

> cv.women = subset(cv,male==0)

> prop.test(nrow(cv.women), n = nrow(cv), p = 0.48, correct = FALSE) #t-test from R

1-sample proportions test without continuity correction

data:nrow(cv.women) out of nrow(cv), null probability 0.48

X-squared = 8.2557, df = 1, p-value = 0.004063

alternative hypothesis: true p is not equal to 0.48

95 percent confidence interval:

0.4953216 0.5609947

sample estimates:

p0.5282805