Identify if something is wrong with the indicated test, based on the following paragraph. Indicate clearly what is wrong with any part fo the proposed test and why. There may be more than one thing wrong. A manufacturer of capacitors used in electric devices plans to test its group of 10 assembly lines to see if they are more likely to generate defective items than is typical. A national report had indicated that capacitors similar to those similar to those made by the manufacturer, on average, 2 defective capacitors occur every 5 days. The plan is to perform a hypothesis test using the manufacturer's assembly line as the sample, and the national report for the population information. The company plans to use a two tail t-test for a single porportion.

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Asked May 6, 2019
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Identify if something is wrong with the indicated test, based on the following paragraph. Indicate clearly what is wrong with any part fo the proposed test and why. There may be more than one thing wrong.

 

A manufacturer of capacitors used in electric devices plans to test its group of 10 assembly lines to see if they are more likely to generate defective items than is typical. A national report had indicated that capacitors similar to those similar to those made by the manufacturer, on average, 2 defective capacitors occur every 5 days. The plan is to perform a hypothesis test using the manufacturer's assembly line as the sample, and the national report for the population information.

 

The company plans to use a two tail t-test for a single porportion.

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Expert Answer

Step 1

Distribution of proportion:

The sample proportion has a normal distribution with mean p and variance (p*(1-p))/n, where p is the population proportion. The estimated proportion is p-cap and it is the fraction of number of success in the sample of n observations.

The test statistic for hypothesis test for proportion is given by:

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Step 2

Identifying the mistake in the plan:

The single proportion test is performed only when the two quantities np and nq must both be greater than 5 and the test statistic for hypothesis test has a normal distribution.

Here, the company plans to use two tailed t test for ...

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