Dog Food Diet Survey Results A dog food company published a special diet for small dogs. The company conducted a survey of 1,000 dog owners who each owned a pet belonging to one of four breeds of small dogs. During the survey, all dog owners fed the special diet to their pets for a month. The survey was designed to help the company determine whether dog owners believed that the diet could improve some aspect of their pet's health. The results of that survey are shown in the table below. Improvement in Beagles (259 dog owners) Chihuahua (286 dog owners) Maltese (224 dog owners) Papillons (231 dog owners) Breath 3% 1% 10% 11% Coat and skin 5% 3% 13% 7% Digestion 5% 4% 2% 5% Energy levels 1% 2% 3% 1% Firmer stools 11% 3% 19% 6% Flatulence 4% 7% 11% 9% No improvement 15% 17% 21% 10% Other 8% 12% 15% 11% Resistance to allergies 30% 28% 15% 26% Uncertain 27% 13% 19% 28% Weight loss 7% 9% 9% 2% I am unable to add 5 columns below - apologies; so I am adding the table here only - deeply sorry if this is causing issue to anyone:

Finally i get to be the helpful one here. Great question. The short answer is that we don't know but it does not matter. Let’s consider two scenarios, a “best case” and a “worst case” (their labels being completely arbitrary, only serving to indicate that they represent extremes) Best case scenario, “Resistance to allergies” and “Digestion” is mutually exclusieve, meaning no owner is concerned with both allergies and digestion. Even just looking at the numbers in the two rows, we see that they do not add up to more than 100% so we can confidently say, that exactly 0% of the dog owners who find the diet beneficial for their pet’s resistance to allergies also find it helpful for their pet’s digestion. Worst case scenario, “Resistance to allergies” and “Digestion” refer to the exact same group of people. Let’s examine each dog breed: Breed Allergies Digestion Digestion / Allergies Beagles 5% 30% 17% Chihuahua 4% 28% 14% Maltese 2% 15% 13% Papillons 5% 26% 19% So even in the worst case scenario no more than 20% the dog owners who find the diet beneficial for their pet’s resistance to allergies also find it helpful for their pet’s digestion. Hope this helps

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A dog food company published a special diet for small dogs.

Dream009

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25 Oct 2025, 06:18

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A majority of the dog owners believe that the recommended diet could improve some aspect of their pet's health.: Supported Fewer than 20% of the dog owners who find the diet beneficial for their pet's resistance to allergies also find the diet to be helpful for their pet's digestion.: Supported Energy levels of their pets is a concern for only a small proportion of dog owners who were surveyed.: Not Supported

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Dog Food Diet Survey Results

A dog food company published a special diet for small dogs. The company conducted a survey of 1,000 dog owners who each owned a pet belonging to one of four breeds of small dogs. During the survey, all dog owners fed the special diet to their pets for a month. The survey was designed to help the company determine whether dog owners believed that the diet could improve some aspect of their pet's health. The results of that survey are shown in the table below.

Improvement in	Beagles (259 dog owners)	Chihuahua (286 dog owners)	Maltese (224 dog owners)	Papillons (231 dog owners)
Breath	3%	1%	10%	11%
Coat and skin	5%	3%	13%	7%
Digestion	5%	4%	2%	5%
Energy levels	1%	2%	3%	1%
Firmer stools	11%	3%	19%	6%
Flatulence	4%	7%	11%	9%
No improvement	15%	17%	21%	10%
Other	8%	12%	15%	11%
Resistance to allergies	30%	28%	15%	26%
Uncertain	27%	13%	19%	28%
Weight loss	7%	9%	9%	2%

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I am unable to add 5 columns below - apologies; so I am adding the table here only - deeply sorry if this is causing issue to anyone:

Supported	Not Supported	Questions
		A majority of the dog owners believe that the recommended diet could improve some aspect of their pet's health.
		Fewer than 20% of the dog owners who find the diet beneficial for their pet's resistance to allergies also find the diet to be helpful for their pet's digestion.
		Energy levels of their pets is a concern for only a small proportion of dog owners who were surveyed.

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Dream009

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25 Oct 2025, 06:19

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I don't agree with experts global solution of 2nd part being true. They are saying of the 20% who find beneficial - how do we know its not seperate pet owners and not the same - this is an assumption

veritatisharum

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can someone please give the solution for this

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Finally i get to be the helpful one here.

Dream009

I don't agree with experts global solution of 2nd part being true. They are saying of the 20% who find beneficial - how do we know its not seperate pet owners and not the same - this is an assumption

Great question. The short answer is that we don't know but it does not matter.

Let’s consider two scenarios, a “best case” and a “worst case” (their labels being completely arbitrary, only serving to indicate that they represent extremes)

Best case scenario, “Resistance to allergies” and “Digestion” is mutually exclusieve, meaning no owner is concerned with both allergies and digestion. Even just looking at the numbers in the two rows, we see that they do not add up to more than 100% so we can confidently say, that exactly 0% of the dog owners who find the diet beneficial for their pet’s resistance to allergies also find it helpful for their pet’s digestion.

Worst case scenario, “Resistance to allergies” and “Digestion” refer to the exact same group of people. Let’s examine each dog breed:

Breed	Allergies	Digestion	Digestion / Allergies
Beagles	5%	30%	17%
Chihuahua	4%	28%	14%
Maltese	2%	15%	13%
Papillons	5%	26%	19%

So even in the worst case scenario no more than 20% the dog owners who find the diet beneficial for their pet’s resistance to allergies also find it helpful for their pet’s digestion.

Hope this helps

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How did you calculate values under digestion/allergies in the table?

Thank you

nottakenname

Finally i get to be the helpful one here.

Great question. The short answer is that we don't know but it does not matter.

Let’s consider two scenarios, a “best case” and a “worst case” (their labels being completely arbitrary, only serving to indicate that they represent extremes)

Best case scenario, “Resistance to allergies” and “Digestion” is mutually exclusieve, meaning no owner is concerned with both allergies and digestion. Even just looking at the numbers in the two rows, we see that they do not add up to more than 100% so we can confidently say, that exactly 0% of the dog owners who find the diet beneficial for their pet’s resistance to allergies also find it helpful for their pet’s digestion.

Worst case scenario, “Resistance to allergies” and “Digestion” refer to the exact same group of people. Let’s examine each dog breed:

Breed	Allergies	Digestion	Digestion / Allergies
Beagles	5%	30%	17%
Chihuahua	4%	28%	14%
Maltese	2%	15%	13%
Papillons	5%	26%	19%

So even in the worst case scenario no more than 20% the dog owners who find the diet beneficial for their pet’s resistance to allergies also find it helpful for their pet’s digestion.

Hope this helps

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dothitmotw

How did you calculate values under digestion/allergies in the table?

Thank you

In that solution, those numbers are simply the digestion% divided by the allergies% for each breed. It is a hypothetical worst-case overlap to show the ratio is still under 20%.