g) The module team wants to use the data to assess the claim that the population mean percentage of students studying for a Maths degree is (will provide) percentage points different from the populati

g) The module team wants to use the data to assess the claim that the population mean percentage of students studying for a Maths degree is (will provide) percentage points different from the population mean percentage of students studying for a Maths and Stats degree. The team decides to look at the differences in percentages of students studying foraMaths degree and the percentages studying for a Maths and Stats degree. They conduct a one-sample z-test on the differences in percentages to test the claim. Write down suitable null and alternative hypotheses to test this claim, stating clearly the meaning of any symbols you use.

h) The sample mean of the ( will provide) differences is ( will provide) and the sample standard deviation of the differences is ( will provide)  Calculate by hand the test statistic, z, and state the conclusions that can be drawn from the test. Show your workings and interpret the results.

i)Calculate by hand the 95% confidence interval for the population mean difference based on the z-test.