The quality department at an electronics company has noted that, historically, 96% of the units of a specific product pass a test operation, 3% fail the test but are able to be repaired, and 1% fail the test and need to be scrapped. Due to recent process improvements, the quality department would like to test if the rates have changed. A recent sample of 500 parts revealed that 474 parts passed the test, 18 parts failed the test but were repairable, and 8 parts failed the test and were scrapped. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Choose the appropriate alternative hypothesis for the test. O At least one of the p; (i=1,2, 3) differs from its hypothesized value. O All p; (i=1, 2, 3) values differ from its hypothesized value. b-1. Compute the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic b-2 Find the p-value.

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The quality department at an electronics company has noted that, historically, 96% of the units of a specific product pass a test
operation, 3% fail the test but are able to be repaired, and 1% fail the test and need to be scrapped. Due to recent process
improvements, the quality department would like to test if the rates have changed. A recent sample of 500 parts revealed that 474
parts passed the test, 18 parts failed the test but were repairable, and 8 parts failed the test and were scrapped. (You may find it
useful to reference the appropriate table: chi-square table or F table)
a. Choose the appropriate alternative hypothesis for the test.
O At least one of the p; (i=1, 2, 3) differs from its hypothesized value.
O All p; (i=1, 2,3) values differ from its hypothesized value.
b-1. Compute the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 3
decimal places.)
Test statistic
b-2 Find the p-value.
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Transcribed Image Text:The quality department at an electronics company has noted that, historically, 96% of the units of a specific product pass a test operation, 3% fail the test but are able to be repaired, and 1% fail the test and need to be scrapped. Due to recent process improvements, the quality department would like to test if the rates have changed. A recent sample of 500 parts revealed that 474 parts passed the test, 18 parts failed the test but were repairable, and 8 parts failed the test and were scrapped. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Choose the appropriate alternative hypothesis for the test. O At least one of the p; (i=1, 2, 3) differs from its hypothesized value. O All p; (i=1, 2,3) values differ from its hypothesized value. b-1. Compute the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic b-2 Find the p-value. < Prev. 2 of 10 Next > re to search
c-1. At the 10% significance level, what is your conclusion?
H0 and cannot conclude at the 10% significance level that at least one of the proportions have changed from the historical rates.
C-2. Would your conclusion change at the 5% significance level?
O No
O Yes
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Transcribed Image Text:c-1. At the 10% significance level, what is your conclusion? H0 and cannot conclude at the 10% significance level that at least one of the proportions have changed from the historical rates. C-2. Would your conclusion change at the 5% significance level? O No O Yes <Prev 2 of 10 Next > to search 曲 a |中
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