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Midterm 2

英国统计学代考 The P-value is 0.9223 > 0.01. So we fail to reject the null hypothesis. The proportion of inefficient charities are the same

Question 1: Load the data

Question 2: Histogram of variables

hist(charity.data$fund_eff)

Question 3: Education versus Other

charity.data$fund_eff[charity.data$is.educa charity.data$fund_eff[−charity.data$is.educ

Question 4    英国统计学代考

These shapes resembled exponential distributions.

Question 5

##

Welch Two Sample t-test

##

data: education.fund.eff and other.fund.eff

## t = 0.66294, df = 770.77, p-value = 0.5076

## alternative hypothesis: true difference in means  is not equal to 0

## 95 percent confidence interval:

## -0.004693325 0.009479666

##  sample   estimates:

## mean of x mean of y

## 0.1104948 0.1081016

The two-way t-test was conducted to test if the means are the same for two groups (education, and other). The P-value was found to be 0.5076 > 0.01. So we fail to reject the null hypothesis that the means are the same.

Question 6  英国统计学代考

In the two way t-test, the assumptions are:

1. TheX and Y samples are independent of each other.
2. Thepopulations for the two groups are normally distributed.

Question 7

## Proportion of inefficient charities for Education group 0.04947526

##  Proportion  of  inefficient  charities  for Others group 0.05114785

Question 8  英国统计学代考

The two proportion z-test is conducted with the following code:

##

## 2-sample test for equality of proportions with continuity correction  ##

## data: c(ineff.education, ineff.other)  out  of  c(n.education,  n.other)  ## X-squared = 0.0095158, df = 1, p-value = 0.9223

## alternative hypothesis: two.sided ## 95 percent  confidence  interval: ## -0.01959956 0.01625438

## sample estimates:

## prop  1 prop 2

##  0.04947526 0.05114785

The P-value is 0.9223 > 0.01. So we fail to reject the null hypothesis. The proportion of inefficient charities are the same for these two subpopulations.

Question 9

1.Thedata for two groups must be randomly sampled.

2.Each observations are independent.

3.The two populations follows binomial independent.

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