wo: Optional question (7 Marks) a) A researcher interested in establishing the relationship between Statistics final examination results of 24 students and their attitude towards their statistics lecturer obtained the following statistical results. Statistics Final exam Attitude towards the Lecturer Statistics Final exam Pearson Correlation Sig.(2-tailed) N 1 0.960** 0.001 24 24 Attitude towards The Lecturer Pearson Correlation 0.960** 1 Sig.(2-tailed) N 0.001 24 24 i). Based on a set alpha level of 0.05, state whether to reject or accept the null hypothesis. ( 2 Marks) ii). What is your conclusion of the hypothesis test? ( 1 Mark) b) The American Kennel Club wanted to estimate the proportion of children that have a dog as a pet. If the club wanted the estimate to be within 3% of the population proportion, how many children would they need to contact? Assume a 95% level of confidence and that the club estimated that 30% of the children have a dog as a pet. (4 Marks) = (1 ) ( ) 2