A manufacturer of eyeglasses is testing to see if the percent of scratched lenses in a given time period is higher than 12% of all lenses with defects. Looking at the type of defects, they found in a certain time period that out of 34,138 defective lenses, 4267 were due to scratches. Test the claim from above at a 1% level of significance. State the hypotheses. H0: p  ≤ ___       HA: p  > ___ Calculate the sample proportion. Round to four decimal places. p̂ = ___ Calculate the test statistic. Round to two decimal places. z = ___ Find the p-value. Give to four decimal places. p-value = ___

MATLAB: An Introduction with Applications
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A manufacturer of eyeglasses is testing to see if the percent of scratched lenses in a given time period is higher than 12% of all lenses with defects. Looking at the type of defects, they found in a certain time period that out of 34,138 defective lenses, 4267 were due to scratches. Test the claim from above at a 1% level of significance.

State the hypotheses.
H0p  ≤ ___      
HAp  > ___

Calculate the sample proportion. Round to four decimal places.
p̂ = ___

Calculate the test statistic. Round to two decimal places.
z = ___

Find the p-value. Give to four decimal places.
p-value = ___

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