Question

Given the information below, write the conclusion in context. 1. H0 : The proportion of defective...

Given the information below, write the conclusion in context.

1. H0 : The proportion of defective batteries = 0.02

2. HA : The proportion of defective batteries < 0.02

3. z-score of observed sample = −1.23

a. There is evidence to suggest that the proportion of defective batteries is less than the claim of 0.02.

b. There is no evidence to suggest that the proportion of defective batteries is less than the claim of 0.02.

c. There is evidence to suggest that the proportion of defective batteries is greater than the claim of 0.02.

d. There is no evidence to suggest that the proportion of defective batteries is greater than the claim of 0.02.

Math   Statistics-And-Probability   
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Answer #1

H0: The proportion of defective batteries = 0.02

HA: The proportion of defective batteries < 0.02

The Z-statistics/score is −1.23.

The p-value for this hypothesis test is 0.1093486.

Now with = 0.05. As p-value = 0.1093486 > 0.05. We do not reject the null hypothesis.

There is no evidence to suggest that the proportion of defective batteries is less than the claim of 0.02.

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