At a research facility that designs rocket engines, researchers know that some e

Chesley

Chesley

Answered question

2021-10-27

At a research facility that designs rocket engines, researchers know that some engines fail to ignite as a result of fuel system error. From a random sample of 40 engines of one design, 14 failed to ignite as a result of fuel system error. From a random sample of 30 engines of a second design, 9 failed to ignite as a result of fuel system error. The researchers want to estimate the difference in the proportion of engine failures for the two designs. Which of the following is the most appropriate method to create the estimate?
A one-sample z-interval for a sample proportion A
A one-sample z-interval for a population proportion B
A two-sample z-interval for a population proportion C
A two-sample z-interval for a difference in sample proportions D
A two-sample z-interval for a difference in population proportions

Answer & Explanation

falhiblesw

falhiblesw

Skilled2021-10-28Added 97 answers

Step 1
The z-interval for two population proportions can be defined as a statistical technique that can be used to decide whether there is difference in proportions of the two populations or groups.
Step 2
Here, the most appropriate approach to create the method is a two-sample z-interval for a difference in population proportions that is used to obtain the confidence interval for the difference in population intervals. Two samples are used here of two different designs and in both cases successful attempts are mentioned with the sample size which makes the proportions.
Therefore, the option (E) is correct.

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