What is the mean income in the two sectors? Conduct a two-sample t-test for the difference in income between the two sectors. Give the 95% confidence interval for the difference in incomes between the two sectors, and the p-value of your test.

This section involves analyzing data on registered charities/non-profits. Ireland has a large and relatively under-studied charitable sector. How much money do you think is floating around Irish charities every year? The answer is e13 billion or so.

Benefits, which itself was another charity, was founded in 2015 to gather data and provide transparency about the overall sector. One of Benefacts’ major outputs was a dataset of charities’ financial records. I have uploaded this dataset, named benefacts.csv, to the “Assessment” section of our Blackboard site.

At the same link, you can find the data dictionary for the Benefacts dataset this tells you what the different variables record. You will also need to open sectors.pdf to see which charitable sectors your Group will focus on.

Restrict your data to the 2019 financial year, and restrict your analysis to the two sectors your Group has been assigned in the sectors.pdf file. I want you to tell me about the income in these sectors. Tell me what your two sectors are. For each of your sectors, how many observations are there?

What is the mean income in the two sectors? Conduct a two-sample t-test for the difference in income between the two sectors. Give the 95% confidence interval for the difference in incomes between the two sectors, and the p-value of your test. Be clear about what your hypothesis is.