requires that the percentage of the plastic shelves that are defective be no more than 10%. If more than 10% are defective, the Prime Factor Company will reject the lot. To test this, the National Applicance Company randomly selects 573 of the shelves and has them inspected. It turns out that 70 are defective. Use this information and a 5% level of significance to determine if National Applicance should reject the batch.

Complete Question

The National Appliance Company makes refrigerators. One of its suppliers, the Exeter company, produces plastic shelves for the refrigerators and ships them in large lots. The National Appliance Company requires that the percentage of the plastic shelves that are defective be no more than 10%. If more than 10% are defective, the Prime Factor Company will reject the lot. To test this, the National Appliance Company randomly selects 573 of the shelves and has them inspected. It turns out that 70 are defective. Use this information and a 5% level of significance to determine if National Appliance should reject the batch.

  The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is no sufficient evidence to conclude that  proportion of defective shelf is less than or equal to 0.10  hence the National Appliance Company should reject that batch of shelfs

Step-by-step explanation:

From the question we are told that

    The population of defective plastics is  

    The sample size is  n = 573

    The number of shelf that are defective is  k =  70  

     The level of significance is  

Generally the sample proportion is mathematically represented as

=>      

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 right  corresponding to  1.77   is

From the question we are told that   hence

  The decision rule is  

Reject the null hypothesis  

The conclusion is  

  There is no sufficient evidence to conclude that  proportion of defective shelf is less than or equal to  0.10  hence the company should reject theat batch of shelfs

answer: -1

step-by-step explanation:

answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

hope this !