In 2020, the population aged 20 years or older was estimated to be 2,920,000 in the North Island and 930,000 in the South Island. Suppose a survey sampled:

• 800 people aged 20 years or older from the North Island (Strata A)
• 1200 people aged 20 years or older from the South Island (Strata B)

The survey found that the mean number of days spent working from home in 2020 was:

• 60 days for those in Strata A
• 20 days for those in Strata B

Assume that the population that the survey wishes to represent is

"New Zealanders aged 20 years or older living on the North and South Islands"

A. Assume that the population that the survey wishes to represent is

"New Zealanders aged 20 years or older living on the North and South Islands"

What is the total number of days spent working from home for New Zealanders aged 20 years or older?

B. What is the mean number of days spent working from home in 2020 for New Zealanders aged 20 years or older?

C. What is the sampling fraction for those in Strata A?

What weight should they be given in analysis?

D. What is the sampling fraction for those in Strata B?

What weight should they be given in analysis?