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You work for a small market research company which specialises in doing the important work that high-flying investment bankers don’t know how to do. This week, you were tasked with researching whether or not there is evidence that the online shopping preferences in Australian states are associated with age.To perform this research, you purchased Australian mobile phone numbers and demographic data from a dodgy data broker (quite possibly from the 2022 Optus data breach). You called each of person and asked them to rate on a scale of 1 to 10 how likely they were to prefer online shopping over going to in-person stores.You label the mobile phone numbers by the state in which the owner resides and whether or not the owner is considered young (≤ 40 years of age) or old (>40 years old). You keep calling people until you have 10 observations in each age group from each Australian state and territory.The results are as follows:df |> group_by(state, age) |>  summarise(n = n(),            Mean = mean(preference),            SD = sd(preference)) |>  ungroup() |>   gt::gt() |>   gt::fmt_number(columns = 4:5, decimals = 1)state age n Mean SDACT old 10 3.4 3.0ACT young 10 6.4 1.9NSW old 10 4.4 2.2NSW young 10 5.5 2.8NT old 10 3.7 2.8NT young 10 5.7 2.9QLD old 10 1.8 2.8QLD young 10 6.0 2.1SA old 10 4.2 2.0SA young 10 4.3 2.5TAS old 10 3.1 2.7TAS young 10 6.8 2.5VIC old 10 4.7 2.4VIC young 10 8.0 2.3WA old 10 3.2 2.9WA young 10 6.9 2.4

Question

You work for a small market research company which specialises in doing the important work that high-flying investment bankers don’t know how to do. This week, you were tasked with researching whether or not there is evidence that the online shopping preferences in Australian states are associated with age.To perform this research, you purchased Australian mobile phone numbers and demographic data from a dodgy data broker (quite possibly from the 2022 Optus data breach). You called each of person and asked them to rate on a scale of 1 to 10 how likely they were to prefer online shopping over going to in-person stores.You label the mobile phone numbers by the state in which the owner resides and whether or not the owner is considered young (≤ 40 years of age) or old (>40 years old). You keep calling people until you have 10 observations in each age group from each Australian state and territory.The results are as follows:df |> group_by(state, age) |>  summarise(n = n(),            Mean = mean(preference),            SD = sd(preference)) |>  ungroup() |>   gt::gt() |>   gt::fmt_number(columns = 4:5, decimals = 1)state age n Mean SDACT old 10 3.4 3.0ACT young 10 6.4 1.9NSW old 10 4.4 2.2NSW young 10 5.5 2.8NT old 10 3.7 2.8NT young 10 5.7 2.9QLD old 10 1.8 2.8QLD young 10 6.0 2.1SA old 10 4.2 2.0SA young 10 4.3 2.5TAS old 10 3.1 2.7TAS young 10 6.8 2.5VIC old 10 4.7 2.4VIC young 10 8.0 2.3WA old 10 3.2 2.9WA young 10 6.9 2.4

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