Can someone tell me how to solve this problem with a TI nspire CX CAS. or a TI 8

Question

Can someone tell me how to solve this problem with a TI nspire CX CAS. or a TI 84.

Identify the null hypothesis, alternative hypothesis, test statistic, critical value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. A supplier of 3.5" disks claims that no more than 1% of the disks are defective. In a random sample of 600 disks, 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 no more than 1% are defective.

Explanation / Answer

Formulating the null and alternatuve hypotheses,          
          
Ho:   p   <=   0.01
Ha:   p   >   0.01

As we see, the hypothesized po =   0.01      

Getting the point estimate of p, p^,          
          
p^ = x / n =    0.03      
          
Getting the standard error of p^, sp,          
          
sp = sqrt[po (1 - po)/n] =    0.004062019      
          
Getting the z statistic,          
          
z = (p^ - po)/sp =    4.923659639      
          
As this is a    1   tailed test, then, getting the p value,  
          
p =    4.24703*10^-7      

As Pvalue < 0.01, we   REJECT THE NULL HYPOTHESIS.  

There is significant evidence that the supplier's claim is false--the true proportion of defectives is greater than 1% at 0.01 level. [CONCLUSION]

**************************

In a ti-84, you can use the 1-PropZTest by going to [STAT] [TESTS] [1-PropZTest] and putting in the given
po = 0.01
x = 0.03*600 = 18
n = 600
>po [as this is right tailed]

Then CALCULATE. DONE!  

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