The total sample is 856 (398 females, 458 males) and the mean (xbar) is 29.169, Those who spend more than $30 per week on average are categorised as “High Spenders” and those otherwise as “Low Spenders”. The Marketing Manager of the company claims that spending habits are influenced by gender. Is there evidence to support the claim? Use a 5% level of significance and the p-value approach. Briefly explain why you have chosen this type of test.

( clearly label every step: 1. defined x 2. Hypotheses 3. Test statistics 4. Critical Value 5. Decision 6. Conclusion )

Transcribed Image Text:

Customer Åge Annual Income ($) 1 48 2 33 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 51 56 28 51 44 29 28 29 29 30 62 29 40 61 30 37 59 45 37 34 26 32 29 33 27 45 51 27 43 49 46 52 31 52 43 38 38 31 28 24 29 57 37 48 66500 30100 33200 20000 82400 74000 67400 47200 62100 10800 47600 25500 111900 38200 22800 29900 162600 9900 70300 10000 66500 43500 37600 29800 37700 11900 54100 39500 83300 31700 24900 22200 17200 16600 54600 17300 38600 38800 59800 15100 29500 26200 37900 18600 86900 41200 Gender Male Female Male Female Male Female Female Male Male Female Male Male Male Male Male Male Male Male Male Female Male Male Male Male Female Male Female Female Female Male Female Female Male Female Male Female Female Male Male Male Male Female Male Female Male Female Honeovner Have Tried No No No No No No Yes No No Yes Yes No Yes Yes No Yes No Yes Yes No No Yes No No No No No No No Yes No No No Yes No No No No Yes No No Yes No No No No No Yes No No Yes No Yes Yes Yes Yes Yes Yes Yes Yes Yes No Yes Yes No No Yes Yes No Yes Yes No Yes No No Yes No No No No Yes No No Yes Yes Yes Yes Yes No No Yes No Average Expenditure on Frozen Food per week ($) 25.1 28. 55 30.5 33.2 27.55 29.6 30.55 32.1 31 32.25 29.55 28.45 27.55 26.45 25.1 28.55 30.5 33.2 27.55 29.6 30.55 32.1 31 32.25 29. 55 28.45 27.55 26.45 28.45 27.55 26.45 25.1 28. 55 30.5 33.2 27.55 29.6 30.55 32.1 26.45 33.2 27.55 27.1 26.9 29 28 Customer Åge Annual Income ($) 1 48 2 33 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 51 56 28 51 44 29 28 29 29 30 62 29 40 61 30 37 59 45 37 34 26 32 29 33 27 45 51 27 43 49 46 52 31 52 43 38 38 31 28 24 29 57 37 48 66500 30100 33200 20000 82400 74000 67400 47200 62100 10800 47600 25500 111900 38200 22800 29900 162600 9900 70300 10000 66500 43500 37600 29800 37700 11900 54100 39500 83300 31700 24900 22200 17200 16600 54600 17300 38600 38800 59800 15100 29500 26200 37900 18600 86900 41200 Gender Male Female Male Female Male Female Female Male Male Female Male Male Male Male Male Male Male Male Male Female Male Male Male Male Female Male Female Female Female Male Female Female Male Female Male Female Female Male Male Male Male Female Male Female Male Female Honeovner Have Tried No No No No No No Yes No No Yes Yes No Yes Yes No Yes No Yes Yes No No Yes No No No No No No No Yes No No No Yes No No No No Yes No No Yes No No No No No Yes No No Yes No Yes Yes Yes Yes Yes Yes Yes Yes Yes No Yes Yes No No Yes Yes No Yes Yes No Yes No No Yes No No No No Yes No No Yes Yes Yes Yes Yes No No Yes No Average Expenditure on Frozen Food per week ($) 25.1 28. 55 30.5 33.2 27.55 29.6 30.55 32.1 31 32.25 29.55 28.45 27.55 26.45 25.1 28.55 30.5 33.2 27.55 29.6 30.55 32.1 31 32.25 29. 55 28.45 27.55 26.45 28.45 27.55 26.45 25.1 28. 55 30.5 33.2 27.55 29.6 30.55 32.1 26.45 33.2 27.55 27.1 26.9 29 28