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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Thanks for your help
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F121089f5-c043-4b6f-9d39-323ed3bb7fc0%2Ff59b8647-616e-4329-ac55-f4f511cf17be%2Fzefrize_processed.jpeg&w=3840&q=75)
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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