A supplier of digital memory cards claims that less than 1% of the cards are defective. In a random sample of600 memory cards, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. At the 0.01 level of significance, test the supplier's claim that less than 1% are defective. Use the p-value method.

The  decision rule is

Fail to reject the null hypothesis

The conclusion is  

    The is no sufficient evidence to support the claim that the less than 1% of the cards are defective

Step-by-step explanation:

From the question we are told that

     The sample size is  

      The population proportion of defective samples is p =  0.01

       The sample proportion of defective samples is  

       The level of significance is

The null hypothesis is

The alternative hypothesis is  

      Generally the test statistics is mathematically represented as

=>              

=>              

From the z table  the area under the normal curve to the left corresponding to  0.00406   is

comparing the p-valve and the level of significance we see that the

                hence  

The  decision rule is

Fail to reject the null hypothesis

The conclusion is  

    The is no sufficient evidence to support the claim that the less than 1% of the cards are defective

step-by-step explanation: