Question

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Horr In a random sample of males, it was found that 22 write with their left hands and 221 do not. In a random sample of females, it was found that 67 write with their left hands and 458 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. cem a. Test the claim using a hypothesis test ment Consider the first sample to be the sample of males and the second sample to be the sample of females. What are the null and alternative hypotheses for the hypothesis test? ook anch O A. Ho: P P2 HP P2 OD HP, SP2 HP P2 OB. Ho: P2 HD, P2 O E Hy: 2 HP P2 OC. He: 2 Hy: D4D2 OF HP, 22 HP, P2 Identify the lost statisti, se op (Round to two decimal places as needed.) Identify the P-value P-value - (Round to three decimal places as needed.) What is the conclusion based on the hypothesis tout? The P-value is the significance level of 0.01, 50 the null hypothesis. There evidence to support the claim that the rate Click to select your answer(s).

Answer 1

Given mo. Male: no. of males write with their left hand =22 1 x . " donat " " " " 4 > 221 u. 0 . Total no. of sample, n = 22 +221= 243 is n = 243 and a= 22 Sample poop ortion, Þi = = 22 -0.0905 nway Female: no. of females write with their left hand = 67 . no. of female donat =458 ., m = 6+ Pu S 8 = S 25 so, na = 525 and 22=67 sample proportion, pz = d2 = 67 = 0.1276. Log n2 525 test) Our hypothesis would be, Hor' P = Pz - Hi: PicP2 (Left tailed Test statistics : [21= b - p2 TP , where, P = 21 4 22 re n, the olsa 5 Q- 1-P = |- Dol159 = 0,854 P=(22+67) (243+525) 000905-001276 0.0371 oo IZI. ! 0.0248 3649 JoonSty .6 kur fans o 011594 0.884111 to 243 si 121 = 1 - 1.493771 y 1:49

P-value : Po value is calculated uis R as, (i-porm (1.490) = 0.068) =0101 conclusion : The P-value is greater than the signifi- cance level of d = oool so fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the rate of left-handedness among males is less than that anong females. (6) confidence level = 98% y d=1-0.98 =0,02 Za = Zoo2 = 20531 since, its a one failed test) a 98 of confidence interval for (P1-P2) is, (!,- p2) I zde bici-pid + P2(1-P2) : V mi na 10.0905 -0.1276) 20053 10.0 105x0.9095 +0.1276 40.8724 U 243 SX -0,0371 + 0.04818028 ( - 0.08528028, 0.01106028) 60.085,0.011) conclusion : Because the confidence interval units include o, it appears that the two rales of legt- handedness Tequal . There is not sufficient evidence to supp of the claim. (0) Answer is eeca? mswer