2(c) To compare the proportion of Mäori authorities that have a social media presence with the proportion of other Maori enterprises that have a social media presence, a 95% confidence interval was constructed for the difference of two proportions using the order Maori authorities - other Maori enterprises. The limits of this confidence interval are (-0.141, -0.079). Based on this confidence interval, we (can? cannot>??claim that the proportion of all Mäori authorities that have a social media presence is lower than the proportion of all other Maori enterprises that have a social media presence.
Question
2(c) To compare the proportion of Mäori authorities that have a social media presence with the proportion of other Maori enterprises that have a social media presence, a 95% confidence interval was constructed for the difference of two proportions using the order Maori authorities - other Maori enterprises. The limits of this confidence interval are (-0.141, -0.079). Based on this confidence interval, we (can? cannot>??claim that the proportion of all Mäori authorities that have a social media presence is lower than the proportion of all other Maori enterprises that have a social media presence.
Solution
Based on the given confidence interval, we can claim that the proportion of all Mäori authorities that have a social media presence is lower than the proportion of all other Maori enterprises that have a social media presence. This is because the entire confidence interval lies below zero (from -0.141 to -0.079), indicating a negative difference between the proportion of Mäori authorities and other Maori enterprises with a social media presence.
Similar Questions
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