AQA S3 — Question 1

Exam BoardAQA
ModuleS3 (Statistics 3)
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Mark schemeDownload PDF ↗
TopicCentral limit theorem

1 A council claims that 80 per cent of households are generally satisfied with the services it provides. A random sample of 250 households shows that 209 are generally satisfied with the council's provision of services.
  1. Construct an approximate \(95 \%\) confidence interval for the proportion of households that are generally satisfied with the council's provision of services.
  2. Hence comment on the council's claim.

1 A council claims that 80 per cent of households are generally satisfied with the services it provides.

A random sample of 250 households shows that 209 are generally satisfied with the council's provision of services.\\
(a) Construct an approximate $95 \%$ confidence interval for the proportion of households that are generally satisfied with the council's provision of services.\\
(b) Hence comment on the council's claim.

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