A sample of 12001200 computer chips revealed that 53S% of the chips do not fail in the first 10001000 hours of their use. The company's promotional literature claimed that more than 50P% do not fail in the first 10001000 hours of their use. Is there sufficient evidence at the 0.100.10 level to support the company's claim

Complete Question

A sample of 1200 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.10 level to support the company's claim

The decision rule is  

    Reject the null hypothesis

The  conclusion is  

   There is sufficient evidence to conclude that  the company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use is correct

Step-by-step explanation:

From the question we told that

   The sample size is  n =  1200

   The significance level is  

   The sample proportion is  

    The null hypothesis  

     The alternative hypothesis is  

Generally the test statistics is mathematically represented as

=>        

=>      

From the z table  the area under the normal curve to the right corresponding to  2.078  is  

So

Generally the value obtained we see that    , Hence  

The decision rule is  

    Reject the null hypothesis

The  conclusion is  

   There is sufficient evidence to conclude that  the company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use is correct

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