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Please check the examination details below before entering your candidate information (° ndidate surname Other names ) Centre Number Candidate Number Pearson Edexcel Level 3 GCE (Friday 16 May 2025 } reference Further Mathematics Advanced Subsidiary Further Mathematics options 23: Further Statistics 1 (Part of options B, E, F and G) , ‘\ You must have: Total Marks Mathematical Formulae and Statistical Tables (Green), calculator 1. A researcher is investigating the relationship between a person’s age and their preferred method of shopping. A random sample of 300 people is taken and the results are summarised in the table below. Preferred method of shopping Online In-store Total 18-30 27 23 50 31-50 31 59 90 Age 51-64 17 43 60 65 and older 30 70 100 Total 105 195 300 (a) Write down suitable hypotheses for a test to determine whether or not there is evidence of an association between age and preferred method of shopping. ‘The researcher assumes that the null hypothesis is true and uses the data in the table to find expected values. (b) (i) Identify the cell which would have the smallest expected value (ii) Calculate the expected value for this cell. @ O-E o-s} for the other 7 cells is 5.060 The value of (c) Lest, at the 5% level of significance, whether or not there is evidence of an association between age and preferred method of shopping You should state the test statistic, degrees of freedom, critical value and conclusion clearly. ) (4) Explain whether or not your conclusion to part (c) would be the same if the test was carried out at a 1% level of significance. Q) 2 {OD 0 0 o Poy 63 7 24 62 1 6 ASAA 2IHT ALA AINA 21IHT ML ATIAW TON OG 
