Question

Question 3 1/4 pt Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the.10 sign ificance level. 0.00006 left tailed right tailed two tailed 3.86 test statistic 1.28 critical value reject reject or accept the null

Answer 1

solution from given data n.701 PO 30%1 P2210). m2 = 170 | Pi :0-30 P220101 620 habộ Xx + y2 = 0.158 nitna [ť 50-158) -= jalap 1-0158 9:0-842 The hypothesis is given by: Ho: P, <P Haip, > P2 Test statistic (Z): Pi-Pz VAS 03-01 Vo: 158 * 0,842 (totas - 0.2 02 Jokeo WooCo Boca. 52.6831x1018 0.133036 * 0.020 168069 2.6831% 103 0.2 TZ - 3.86 )

Critical value: a=010 = 1.2816 Ecritical value Za Zoio ( Zaž 1.2827 (critical value: 1.282 ] from right-tailed Make Decision! Zo > Za | 3.86 > 1-282 -> we one sech Neill hypothesis (HO) P-value & 3 PLZ > 03.86) - 0.0000567 ~ 0.00006 I P-value = 0.0006 7 Hence, .Por sooooo her we reject null hypothesis (HO) test statistic (z): 3.86 Critical valore : 1.282 Desision : resect Ho p-value: 0.00ool Guidence that proportion of men who own cats į langer than the proportion of women who own cats.,,