Reference no: EM131717911

(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