# Sharks eat blue fish. Yes? Hypothesis testing

Hi there, I was looking for some help if possible.
So, I have a theory that some sharks eat blue fish. I checked 100 sharks. I found out that 30 ate blue fish. 70 did not.

What analysis can I run in RStudio to test this hypothesis and get a p-value (or the null, which I suppose is: no sharks eat blue fish)?

Initially I ran a chi-squared test and got a nice low p-value - 0.00001. But then I got confused... what if 50 sharks had eaten blue fish... now my p-value is 1. Is a chi square test inappropriate here? What can I do to test this simple hypothesis? I have yes/no data for the 100 sharks.

Any info would be really appreciated! Thanks

Not sure how you ran the chi-square test. You might want to show us the code and maybe post your data. (Copy and paste text, not a picture.)

Another approach is a t-test.

Thanks for your reply, the below is my R code. But i suspect i'm wrong trying a chi squared test. Would a one-sample proportion test be better? How might a perform a t test?

n_yes <- 31 # Replace with your actual count of shark that ate blue
n_no <- 72 # Replace with your actual count of shark that didn't eat blue

# Create a contingency table

contingency_table <- matrix(c(n_yes, n_no), ncol = 2, byrow = TRUE)

# Perform chi-squared test

chisq_result <- chisq.test(contingency_table)

# Print the results

print(chisq_result)

any insight or suggestions would be much appreciated!

Two things:

1. `chisq.test` checks whether the proportions are equal unless you tell it different. That's not what you want.

2. If the null is that no sharks eat bluefish and you observe a shark eating bluefish (which you do), then you can reject the null with absolute certainty without doing any statistics.

Yes i absolutely appreciate that! It would just be so nice to have a p number or some such to state they are doing so significantly, rather than just a percent or fraction.

thanks for the chi.test info, i am only appreciating that now. So, as I cant say what proportions i care about, a chi.test is not what i want to be using here at all then.

The p-value is zero.

If the probability of a shark snacking on bluefish is zero, then you will never see a shark eat a bluefish. Since you do...

ha, yes, that is fair enough. Thanks for your input, much appreciated

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