Question

3.In a sample of 400 parts manufactured by a factory, the number of defective parts was found to be 30. The company , however, claimed that at most 5% of their product is defective. Is the claim acceptable? critical value is 1.645. here value of the test statistic is
(0/2 Points)​

Answer 1

Step-by-step explanation:

3.In a sample of 400 parts manufactured by a factory, the number of defective parts was found to be 30. The company , however, claimed that at most 5% of their product is defective. Is the claim acceptable? critical value is 1.645. here value of the test statistic is

(0/2 Points)

Answer 2

Answer:

size of sample=400 (n)

Sample proportion(defective parts)(p) = 30/400= 0.075

Population proportion (P)= 0.05 Q=0.95

Null hypothesis Ho: P less than or equal to 0.05

Alternative hypothesis H1: P is more than 0.05

Standard error of proportion = underoot PQ/n=0.0108

Z=p-P/ Standard error of population= 2.314

as Z>Z level of significance (1.645)

Therefor the claim is rejected