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In: Statistics and Probability

Question 1 A small independent book retailer owns a shop and an online web store. The...

Question 1

A small independent book retailer owns a shop and an online web store. The retailer is investigating whether there is a difference in purchase behaviour (the type of book purchased) when customers make a purchase in-store compared to buying online. The retailer looks at all the purchases of business, language and fiction books both online and in-store on a randomly selected day. The results are shown in the table below

Table: Number of books purchased online and in-store categorised by book type

Place of Purchase

Type of Book

In Store

Online

Business

120

155

Language

47

25

Fiction

120

93

Part a)

Use a Chi-square test at a 1% significance level to investigate whether there is an association between the type of book purchased and the place of purchase.

[10 marks]

Part b)

Using the chi-square test result and the survey data shown in the table, briefly summarise the outcome of the survey for the book retailer.

[4 marks]

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