Question
A computer manufacturing company produces 2 products: desktop computers and laptops. The quality controller wants to see if the proportion of defective desktop computers is
A computer manufacturing company produces 2 products: desktop computers and laptops. The quality controller wants to see if the proportion of defective desktop computers is higher than the proportion of defective laptops. To check this, he takes a random sample of 140 desktop computers and observes that 16 are defective and he also takes a random sample of 145 laptops and observes that 12 are defective. Assume a normal sampling distribution. Test an appropriate hypothesis and state your conclusion. Use a significance level of 0.025. (a) What are the null and alternative hypotheses? H0: HA: (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, fail to reject or reject the null hypothesis?
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