# Probability: Other Probability Problems – #29335

Question: (8 marks). Researchers at Leeds University School of Dentistry want to know whether registering with a NHS dental practice or a private dental practice will make a difference in children’s regular check-ups. Consider the table of data collected:

 Dental practice Regular check-ups Non-regular check-ups Total private 201 50 251 NHS 985 375 1360 Total 1186 425 1611

a. What is the proportion of children that have registered with NHS dental practice? (1 marks)

b. What is the proportion of children that have registered with private dental practice? (1 marks)

c. What is the proportion of children that have registered with NHS dental practice in the group of regular check-ups? (1 marks)

d. What is the proportion of children that have registered with private dental practice in the group of regular check-ups? (1 marks)

e. What is the absolute difference in the proportions of that have registered with NHS dental practice in the group of regular check-ups, compared to the group of non-regular check-ups. (1 marks)

f. Conduct a chi-square test with null hypothesis that there is no association between dental practice and regular check-ups. What is your conclusion? (3 marks)