Which of the following are categorical data?
50 men from a random sample of 200 regularly play badminton. Calculate an approximate 95% confidence interval for the proportion of the male population who play.
100 men from a random sample of 400 regularly play badminton. Calculate an approximate 95% confidence interval for the proportion of the male population who play.
Calculate a 99% confidence interval for the proportion of the male population who play badminton using the sample information in question 3.
A badminton website claims that 30% of men play badminton. Carry out a one sided test of their claim using the sample information in question 3. What p-value do you calculate?
A baker sells 5different loaves of bread: A, B, C, D and E. On a particular day he sells 10 of A, 9 of B, 6 of C, 14 of D and 11 of E. Test whether the 5 loaves are equally popular. What is the p-value?
What conclusion do you reach in the test carried out in question 5?
How do you calculate standardised residuals?
9. A contingency table for single, married and divorced men earning less than £20,000, between £20,000 and £30,000, and more than £30,000 is shown below:
Marital Status < £20,000 £20,000 - £30,000 > £30,000 Total
Single 45 30 15 90
Married 25 55 30 110
Divorced 5 45 25 75
Total 75 130 70 275
If we wish to test that salary is independent of marital status, what is the expected frequency of married and earning more than £30,000?
Using the information in question 9, test whether marital status and salary are independent. What do you conclude?
