91影视

Results are obtained for the linear relation between the variables 鈥渘umber of registered boats鈥� and 鈥渘umber of manatee deaths鈥� using StatCrunch.

The linear correlation between the two variables is shown in the results obtained using StatCrunch and is equal to 0.85014394.

The researcher wants to test the claim that there is a linear correlation between the variables number of registered boats and the number of manatee deaths from encounters with boats.

Let\(\rho \)represent the linear correlation coefficient of the population.

The statistical hypothesis is given below:

\(\begin{array}{l}{H_0}:\rho = 0\\{H_1}:\rho \ne 0\end{array}\)

Here,

\(\begin{array}{l}r = 0.850\\n = 24\end{array}\)

The degrees of freedom (df) is given as follows:

\(\begin{array}{c}df = n - 2\\ = 24 - 2\\ = 22\end{array}\)

The two-tailed critical values of rat df = 22 and at a significance level of 0.05 are obtained as 鈥�404 and 0.404.

Since the given value of the linear correlation coefficient (0.850) lies beyond the upper critical value of 0.404, the null hypothesis is rejected.

Thus, there issufficient evidence to support the claim of a linear correlation between the numbers of registered boats and number of manatee deaths from encounters with boats.