Question

# of Defective Batteries per Package A retailer receives shipments of batteries in packages of 50. The retailer randomly samples 400 packages and tests to see if the batteries are defective. A sample of 400 packages revealed the observed frequencies shown to the right. The retailer would like to know if it can evaluate this sampling plan using a binomial distribution with n=50 and p = 0.02. Test at the a= 0.01 level of significance. Frequency of Occurrence 173 130 64 WN 25 4 or more

Answer 1

Amsweg) xo - am Prote>) 14/4/2020 Giren, N = 50, 8.0.02, d=0.01 obseoved (o) Expected (Ei) 173 400 x 560 (0.02) (0.98)50 – 145.67 130 400 x ( 59 60.00 (0.98)99 = 148.64 400 x (5cq (0.02) ² (0.98) 48 = 74.32 25 Woo Y ( 9cc (069 (4897 - 21.97 481) meie 400 - {cx=0)+(x=)+(x-2)+ = 7.10 (X=8) sum I 400.0000 Yoo. Sooo Test statistic = Coi-ei) 2 (0;-£i) Test statistic 1173-145:47 - 51128 T32 - 9.034 145.67 Cotifical Uplate of chi-squatte at (130-148.64 - 2.837 y level 148164 (64-74182) 2 - 1.433 74.92 (25-24127) V = 0.022 24.87 (8-7. 10)2 = 0.114 710 Total = 9.034