Question

A manufacturer claims that less than 4% of his produced items are defective. In a random...

A manufacturer claims that less than 4% of his produced items are defective. In a random sample of 300 items, 11 were defective. At α=0.05, test the manufacturer claim.

Claim

H0

Ha

Test Statistic=

p-value=

Result:

Homework Answers

Answer #1

Solution :

This hypothesis test is a left tailed test .

The null and alternative hypothesis is

H0 : p = 0.04

Ha : p < 0.04

= x / n = 11 / 300 = 0.0367

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.0367 - 0.04 / [(0.04 * 0.96) / 300]

= -0.295

P-value = 0.3841

= 0.05

P-value >  

Fail to reject the null hypothesis .

There is not sufficient evidence to claims that less than 4% of his produced items are defective .

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