Question

An article discusses the different roles taken by lionesses as they attack and capture prey. The authors were interested in the effect of the position in line as stalking ours. An individual oness may 24 t h line or on the wing (end of the line) as they advance toward their prey. In addition to position, the role of the lioness was also considered. Alloness could initiate a chase (be the first one to charge the prey), or she could participate and join the chase after it has been initiated. Data from the article are summarized in the accompanying table Role Position Initiate Chase Participate in Chase Wing (a) Is there evidence of an association between position and role? Test the relevant hypotheses using a 0.01 State the null and alterative hypotheses. H: Role category proportions are not all the same for lionesses who are in the center of the line or on the wing. M: Role category proportions are the same for lionesses who are in the center of the line or on the wing. OH: Position and role are independent. H: Position and role are not independent. OM: Role category proportions are the same for lionesses who are in the center of the line or on the wing. HRole category proportions are not all the same for lionesses who are in the center of the line or on the wing. HPosition and role are not independent M: Position and role are independent. Calculate the test statistic (Round your answer to two decimal places.) What is the P value for the test? (Use a statistical computer package to calculate the P value. Round your answer to four decimal places.) Pvalue What can you conclude? Reject Her There is convincing evidence that there is an association between position and role. Do not reject . There is not convincing evidence that there is an association between position and role. Do not reject . There is convincing evidence that there is an association between position and role. Reject H. There is not convincing evidence that there is an association between position and role. (b) What assumptions about how the data were collected must be true for the chi-square test to be an appropriate way to analyze these data? (Select all that apply) The data was selected through systematic sampling.

Answer 1

soin Role Initiate chase Position Participate chase Total center 27 46 73 38051 34:49 3.84 (0:-E3) The 3:44 ming 69 40 109 Ee 57.69 31.51 (0:-6)*)& 2.30 2057 Total 96 86 782 la nulu and Alternative hypothesis: ons and role are independent. - Mi Positions and role are not independent. Test Statistics : X = { 10:1892 = 18.15 P-value = 0.0005 we can conclude: Reject Mo 'There is convincing euidence that there is an association between position and goles. 1. selected through random The dat was samping.