Use the Following Information to Answer the Question

question 4

Essay

Use the following information to answer the question. A manager at a large office supply store believes that her supply of pencils has a defect rate that is higher than the defect rate stated by the manufacturer. The manager's null hypothesis is that the supply of pencils has a defect rate of p = 0.025 (the pencil manufacturer's stated defect rate). Suppose we do a test with a significance level of 0.05. Symbolically, the null and alternative hypothesis are as follows: H₀: p = 0.025 and H_a: p > 0.025.
-The store manager calculates a p- value for the hypothesis test of 0.0030. Write a statement explaining what the p- value means and how it should be interpreted.

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Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.