A study measures the dimensions of adult penguin bills for three species (Adelie, Gentoo and Chinstrap) living on an island. Bill lengths and bill depths (millimetres) were taken, as shown in the following diagram: Bill length Bill depth Question 1 In the study it is believed that there is a negative linear relationship between bill lengths and bill depths for the penguins. Define p as the population correlation coefficient between bill length and bill depth. The appropriate null and alternative hypotheses to test are O Ho: p= 0 vs H₁: p0 ○ Ho: p= 0 vs H₁: p < 0 ○ Ho:p> 0 vs H₁ :p <0 Hop= 0 vs H₁ :p>0

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