Question

Fear of darkness is a common emotion. To test the hypothesis that "the same proportion of each age group has serious fears of darkness," the following data were obtained by asking 200 individuals in each age group whether they had serious fears of darkness. (0 - E) Age Group Observed Expected E Elementary 83 70.8 2.102 Jr. High 72 70.8 0.020 Sr. High 49 70.8 6.712 College 36 70.8 17.105 Adult 114 70.8 26.359 a) Compute the test tistic. The test statistic = b) Compute the degrees of freedom. The degrees of freedom = c) For the test statistic and degrees of freedom from parts A and B, compute the p-value. The p-value Op < .001

Answer 1

ci Page No.: Date: LL Given that 200 The whether individuals in each age group they had genious - fears of darkness. Hypothesiska Hot The same proportion qxou has serious darkness. of each fears of عقوله H,: The differents proportion of each age group has senious fears of darkness. Valintil Given Table - 2 Obsexved Experted Age Coxour Co-E) E 7018 2.102 7 2 70.8 0.020 Elementary Jr. High Sr. High College Adult 49 70.8 36 70.8 6.712 17.105TH 26.359 114 70.8 52 298 REDMI NOTE 6 PRO MI DUAL CAMERA Cellpage

Page No.: Date:_U1 statistic for this a) Therefore test is The test under te xat şcoi-Fi v Linkit Ei 52.298 statistic 52.298 by Degrees of freedom The degrees of freedom a Xat x² ऽना ::(K=0) ²4 Degrees of freedom 4 P-value x²caldt chidsst (52.298 74 lilasle 10 P < ooool REDMI NOTE OF PRO MI DUAL CAMERA Cellnage

Reswt a) Test statistic 52. 298 b) Degrees of freedom c) 7 P-value ol99 è 0.001