SOLUTION: A manufacturer claims that at least 99% of all his products meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard. Conduct

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Question 203671: A manufacturer claims that at least 99% of all his products meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard.
Conduct the standard hypothesis test procedure and answer the following:
What is the null hypothesis?
What is the alternate hypothesis?
What is the critical value if a = .01?
What is the z-statistic? ?
What is your decision ?? Do the products meet the government standards?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A manufacturer claims that at least 99% of all his products meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard.
Conduct the standard hypothesis test procedure and answer the following:
What is the null hypothesis?
Ho: p >= 0.99
What is the alternate hypothesis?
Ha: p <0.99
What is the critical value if a = .01?
z = 2.3263....
What is the z-statistic?
z(490/500) = [(490/500)-0.99]/[sqrt(0.99*0.01/500)] = -0.01/0.01407...
= -0.7107
What is your decision ?? Do the products meet the government standards?
Reject Ho.
=========================
Cheers,
Stan H.

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