The management of a social media platform would like to analyse the success of their advertisements in different industries. They collect information on one field of services. 65 companies are selected, and they observe how much they have spent on their advertisements and how many "likes" they have received in the previous year. The scatter plot shows a linear relationship. They would like to test if there is evidence for the linear relationship between advertisement costs and likes.

Some information about theirresults:

r(correlation coefficient) = 0.25

t(stat) = 2.049

a. Formulate H₀and H₁.

b. Make your decision based on the critical values. (Alpha=6%.)

c. Interpret the correlation coefficient.