A manufacturer claims that less than 1% of all his products donot meet the minimum government standards. A survey of 500 productsrevealed ten did not meet the standard. What is the z-statistic and the p-value?

Chaya Galloway

Chaya Galloway

Answered question

2021-03-07

A manufacturer claims that less than 1% of all his products donot meet the minimum government standards. A survey of 500 productsrevealed ten did not meet the standard.
What is the z-statistic and the p-value?

Answer & Explanation

Dora

Dora

Skilled2021-03-08Added 98 answers

Null hypothesis; the products donot meet theminimum government standards percentage is 1%P=0.01
Alternative hypothesis :P>0.01
n=500 no.of observationsdid not meet the standard X=10
proportion in the sample p=10500
test statistic z=pPnPQn=0.010.0044=2.2727 the P- value 0.0115

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