ONS statistics show that 63% of UK households are homeowners. The Bank of England claims that, due to the very low interest rates in recent years, the actual proportion of home owners is actually higher. Investigate this hypothesis by completing the following tasks:

DATA SET: https://docs.google.com/spreadsheets/d/1XiUej18HUJXLACewsrDMsKZorjNp0maC06LeHbMLlmU/edit?usp=sharing

a. Construct a confidence interval that has a high probability of including the true population proportion of UK homeowners. Comment on your findings.

b. Use hypothesis testing to test the Bank of England claim. Comment on your findings.

c. The Bank of England also believes that UK North and South divides means that the combined proportion of homeowners in the South East and South West is higher than the combined proportion of homeowners in the North and North West.

Test this hypothesis by:

1) Constructing and plotting two confidence intervals for the population proportions of combined homeowners in the South East and South West and North and North West. Comment on your findings.

2) Carrying out a hypothesis testing for two population proportions. Comment on your results.