der the following hypothesis test. H0: ? ≥ 90 Ha: ? < 90   A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use  ? = 0.01.   x = 91   A) Find the value of the test statistic. (Round your answer to two decimal places.)

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Chapter1: Combinatorial Analysis
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Consider the following hypothesis test.
H0: ? ≥ 90
Ha: ? < 90
 
A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use 
? = 0.01.
 
x = 91
 
A) Find the value of the test statistic. (Round your answer to two decimal places.)
 
B) Find the p-value. (Round your answer to four decimal places.)
p-value =  
State your conclusion.
Do not reject H0. There is sufficient evidence to conclude that ? < 90.
Do not reject H0. There is insufficient evidence to conclude that ? < 90.    
Reject H0. There is sufficient evidence to conclude that ? < 90.
Reject H0. There is insufficient evidence to conclude that ? < 90.
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