A semiconductor firm produces logic devices. The contract with their customer calls for a fraction defective of no more than 0.02. A random sample of 190 devices yields a total of 37 defectives. What is the value of the test statistic for the appropriate hypothesis test

The value of the test statistic for the appropriate hypothesis test is 6.082

Step-by-step explanation:

We are given that a semiconductor firm produces logic devices. The contract with their customer calls for a fraction defective of no more than 0.02. A random sample of 190 devices yields a total of 37 defectives.

Let p = proportion of defective devices

Let Null Hypothesis, : p 0.02  {means that fraction defective is no more than 0.02}

Alternate Hypothesis, : p > 0.02  {means that fraction defective is more than 0.02}

The test statistics that will be used here is One-Sample proportion test;

                 T.S. = ~ N(0,1)

where, = proportion of defectives in a sample of 190 =

           n = sample of devices = 190

So, test statistics =  

                            = 6.082

Therefore, the value of the test statistic for the appropriate hypothesis test is 6.082.

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step-by-step explanation: