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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 11% of all lenses with defects. Looking at the type of defects, they found in a certain time period that out of 34,186 defective lenses, 3931 were due to scratches. Test the claim from above at a 1% level of significance. State the hypotheses. Но: р HA: P Calculate the sample proportion. Round to four decimal places. Calculate the test statistic. Round to two decimal places. Find the p-value. Give to four decimal places. p-value = State your decision. O Since the p-value is greater than 0.01, reject Но- Since the p-value is less than 0.01, reject Ho. | Since the p-value is less than 0.01, fail to reject Ho. |Since the p-value is greater than 0.01, fail to reject Ho. Interpret the results. At the 1% level of significance, there is enough evidence to support that the proportion of defective lenses from scratches is higher than 11% of all lenses with defects. O At the 1% level of significance, there is not enough evidence to support that the proportion of defective lenses from scratches is higher than 11% of all lenses with defects. At the 1% level of significance, there is not enough evidence to support that the proportion of defective lenses from scratches is lower than 11% of all lenses with defects. |At the 1% level of significance, there is enough evidence to support that the proportion of defective lenses from scratches is lower than 11% of all lenses with defects.

A manufacturer of eyeglasses is testing to see if the percent of scratched lenses in a given time period is higher than 11% of all lenses with defects. Looking at the type of defects, they found in a certain time period that out of 34,186 defective lenses, 3931 were due to scratches. Test the claim from above at a 1% level of significance. State the hypotheses. Но: р HA: P Calculate the sample proportion. Round to four decimal places. Calculate the test statistic. Round to two decimal places. Find the p-value. Give to four decimal places. p-value = State your decision. O Since the p-value is greater than 0.01, reject Но- Since the p-value is less than 0.01, reject Ho. | Since the p-value is less than 0.01, fail to reject Ho. |Since the p-value is greater than 0.01, fail to reject Ho. Interpret the results. At the 1% level of significance, there is enough evidence to support that the proportion of defective lenses from scratches is higher than 11% of all lenses with defects. O At the 1% level of significance, there is not enough evidence to support that the proportion of defective lenses from scratches is higher than 11% of all lenses with defects. At the 1% level of significance, there is not enough evidence to support that the proportion of defective lenses from scratches is lower than 11% of all lenses with defects. |At the 1% level of significance, there is enough evidence to support that the proportion of defective lenses from scratches is lower than 11% of all lenses with defects.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 11% of all lenses with defects. Looking at the type of defects, they found in a certain time period that out of 34,186 defective lenses, 3931 were due to scratches. Test the claim from above at a 1% level of significance. State the hypotheses. Ho: p (? HA: P (? - Calculate the sample proportion. Round to four decimal places. p = Calculate the test statistic. Round to two decimal places. Z = Find the p-value. Give to four decimal places. p-value = State your decision. Since the p-value is greater than 0.01, reject Но- Since the p-value is less than 0.01, reject Ho. Since the p-value is less than 0.01, fail to reject Ho. O Since the p-value is greater than 0.01, fail to reject Ho. Interpret the results. O At the 1% level of significance, there is enough evidence to support that the proportion of defective lenses from scratches is higher than 11% of all lenses with defects. O At the 1% level of significance, there is not enough evidence to support that the proportion of defective lenses from scratches is higher than 11% of all lenses with defects. At the 1% level of significance, there is not enough evidence to support that the proportion of defective lenses from scratches is lower than 11% of all lenses with defects. At the 1% level of significance, there is enough evidence to support that the proportion of defective lenses from scratches is lower than 11% of all lenses with defects.
Transcribed Image Text:A manufacturer of eyeglasses is testing to see if the percent of scratched lenses in a given time period is higher than 11% of all lenses with defects. Looking at the type of defects, they found in a certain time period that out of 34,186 defective lenses, 3931 were due to scratches. Test the claim from above at a 1% level of significance. State the hypotheses. Ho: p (? HA: P (? - Calculate the sample proportion. Round to four decimal places. p = Calculate the test statistic. Round to two decimal places. Z = Find the p-value. Give to four decimal places. p-value = State your decision. Since the p-value is greater than 0.01, reject Но- Since the p-value is less than 0.01, reject Ho. Since the p-value is less than 0.01, fail to reject Ho. O Since the p-value is greater than 0.01, fail to reject Ho. Interpret the results. O At the 1% level of significance, there is enough evidence to support that the proportion of defective lenses from scratches is higher than 11% of all lenses with defects. O At the 1% level of significance, there is not enough evidence to support that the proportion of defective lenses from scratches is higher than 11% of all lenses with defects. At the 1% level of significance, there is not enough evidence to support that the proportion of defective lenses from scratches is lower than 11% of all lenses with defects. At the 1% level of significance, there is enough evidence to support that the proportion of defective lenses from scratches is lower than 11% of all lenses with defects.
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