Child poverty. The Household Economic Survey (HES)

is conducted over a period of 12 months from July 2018 to June 2019 across 20,000 households in New Zealand.

HES found that 13.4% of children in the country lived in a household experiencing material hardship. (https://

www.stats.govt.nz/information-releases/child-povertystatistics-

year-ended-june-2019)

a) Estimate the true percentage of children who lived in a household experiencing material hardship by constructing a 95% confidence interval.

b) A state report claims that only 10% of children in the country lived in a household experiencing material. Use your confidence interval to test whether the state report’s claim is plausible given the poll data.