The start-up Pluggr has developed a wi-fi controlled spark plug for use in electric vehicles. During their production process, they create spark plugs in large batches. A batch is sent out for sale if more than 95% of spark plugs pass a reliability test. Rather than test every spark plug in the batch, they only test sample n=400 from each batch. In batch #876-5309, of the 400 spark plugs tests, 392 of them passed the reliability test. Using this data, test the null hypothesis that H0: p=0.95 vs Ha: p>0.95 at the alpha=0.01 level. What is the p-value of this test, and what is your conclusion?

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.