One cable company claims that it has excellent customer service. In fact , the company advertises that a technician will arrive within 30 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 30 minutes for the cable technician to arrive . The customer asks a simple random sample of 25 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 32.1 minutes with a standard deviation of 4.1 minutes . Assume that the population distribution is approximately normal. Test the customer's claim at the 0.05 level of significance . Step 1 of 3 : State the null and alternative hypotheses for the test . Fill in the blank below. H0 : μ= 30 Ha: μ____30 Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places. Step 3 of 3: Draw a conclusion and interpret the decision

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A:

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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.