The Canadian Federation of Independent Business (CFIB) sent an online survey to 3000 small businesses in Canada asking many questions as to how they were affected by the Covid-19 sanitary restrictions over the last two years. Of the 229 businesses that responded to the CFIB survey, 37.1 % reported that they were negatively affected. An equivalent provincial association in Quebec (AGAP) had just conducted a similar survey among its 250 members. Among the 24 AGAP
The Canadian Federation of Independent Business (CFIB) sent an online survey to 3000 small businesses in Canada asking many questions as to how they were affected by the Covid-19 sanitary restrictions over the last two years. Of the 229 businesses that responded to the CFIB survey, 37.1 % reported that they were negatively affected. An equivalent provincial association in Quebec (AGAP) had just conducted a similar survey among its 250 members. Among the 24 AGAP members who responded to the same question, 7 of them said they were negatively affected.
Do you have any reason to doubt that, statistically, the AGAP respondents can be considered part of the same population of CFIB respondents? Provide a statistical argument using a cut-off point (red flag) of 5%.
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