(Use Excel) The quality department at an electronics company has noted that, historically, 93% of the units of a specific product pass a test operation, 4% fail the test but are able to be repaired, and 3% fail the test and need to be scrapped. Due to recent process improvements, the quality department would like to confirm whether these rates are still valid. A recent sample of 500 parts revealed that 475 parts passed the test, 16 parts failed the test but were repairable, and 9 parts failed the test and were scrapped. Table 3.
a. Choose the appropriate alternative hypothesis for the test.
At least one of the pi (i = 1, 2, 3) differs from its hypothesized value.
All pi (i = 1, 2, 3) values differ from its hypothesized value.
b. 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
c. Approximate the p-value.
p-value < 0.01
0.01 Picture p-value < 0.025
p-value Picture 0.10
0.025 Picture p-value < 0.05
0.05 Picture p-value < 0.10
d-1. At the 5% significance level, what is your conclusion?
(select one) (do not reject, reject) H0. At the 5% significance level, we cannot conclude that at least one of the proportions are different from 0.93, 0.04, and 0.03.
d-2. Would your conclusion change at the 5% significance level?
No
Yes