The company that you work for requires that less than 3% (.03) of the microchips that you deliver are defective. If the percentage is not below 3%, you cannot ship the microchips. You collect a simple random sample of 430 microchips and find that 12 of them are defective. Conduct a hypothesis test with a ?? =.05 level of significance to determine if less than 3% of the microchips are defective. Write all non-calculation answers in complete sentences.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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The company that you work for requires that less than 3% (.03) of the microchips that you
deliver are defective. If the percentage is not below 3%, you cannot ship the microchips. You
collect a simple random sample of 430 microchips and find that 12 of them are defective.
Conduct a hypothesis test with a ?? =.05 level of significance to determine if less than 3% of the
microchips are defective. Write all non-calculation answers in complete sentences.

c. Write the null and alternative hypothesis as symbols.
d. State the requirements that have been met to run the test.
e. What is the test statistic and the p-value? (Make sure you use the right notation.)
f. Should you reject or fail to reject the null hypothesis?
g. State the conclusion for the test.
h. According to the results of your hypothesis test, are you going to ship the microchips.
Explain your reasoning based upon the hypothesis test.

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