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CIE 9231 2023 Nov Paper 43 Q2

A Level / CIE / FS

CIE 9231 2023 Nov Paper 43 Paper · Question 2

题目

Problem

A town council has published its plans for redeveloping the town centre and residents are being asked whether they approve or disapprove. A random sample of 250 responses has been selected from residents in the four main streets in the town: North, East, South and West Streets. The results are shown in the table.

North StreetEast StreetSouth StreetWest Street
Approve33544226
Disapprove1939289

Test, at the 5% significance level, whether the opinions of the residents are independent of the streets on which they live.

[7]
题目中文翻译

一个镇议会公布了重新开发镇中心的计划,并询问居民是赞成还是反对。现从该镇四条主要街道的居民中随机抽取了 250 份回应:North Street、East Street、South Street 和 West Street。结果如下表。

North StreetEast StreetSouth StreetWest Street
赞成33544226
反对1939289

在 5% 显著性水平下,检验居民的意见是否与他们居住的街道相互独立。

解答