I have two problems I'm totally puzzled on which test to use, and would be very grateful for some help:

1) Say you ask 500 people what food they like, and give them a list of 100 dishes. Every person is allowed to like multiple different foods. This is the example list

Apples 7%

Bananas 60%

Meat 5%

Sausage 1%

Plantains 40%

Water 3%

...

Lets assume most foods are liked by below 10% of the people, but as you can see 60% like bananas, and 40% plantains. What test would give me a p-value for how likely one or more foods are significantly more liked than expected? Or what percentage of liked would be the significant cutoff (say everything above 25% is significant)?

2) Say i take a group of 100 people, and each of them has around 2-5 medical symptoms on average, of a list of 50 symptoms total. I want to check whether there are symptoms, that are significantly more likely to be co-occurring with other symptoms. Say symptom 1 (coughing) is present with 35 other symptoms total (in for instance 15 people). Is coughing statistically significantly more co-occuring with other symptoms?

Thanks in advance on any advice!!

1) Say you ask 500 people what food they like, and give them a list of 100 dishes. Every person is allowed to like multiple different foods. This is the example list

Apples 7%

Bananas 60%

Meat 5%

Sausage 1%

Plantains 40%

Water 3%

...

Lets assume most foods are liked by below 10% of the people, but as you can see 60% like bananas, and 40% plantains. What test would give me a p-value for how likely one or more foods are significantly more liked than expected? Or what percentage of liked would be the significant cutoff (say everything above 25% is significant)?

2) Say i take a group of 100 people, and each of them has around 2-5 medical symptoms on average, of a list of 50 symptoms total. I want to check whether there are symptoms, that are significantly more likely to be co-occurring with other symptoms. Say symptom 1 (coughing) is present with 35 other symptoms total (in for instance 15 people). Is coughing statistically significantly more co-occuring with other symptoms?

Thanks in advance on any advice!!

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