(Use Excel) The quality department at an electronics company has noted that, his

Question

(Use Excel) The quality department at an electronics company has noted that, historically, 92% of the units of a specific product pass a test operation, 7% 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 confirm whether these rates are still valid. A recent sample of 500 parts revealed that 472 parts passed the test, 24 parts failed the test but were repairable, and 4 parts failed the test and were scrapped. Table 3. a. Choose the appropriate alternative hypothesis for the test. At least one of the p: (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

Explanation / Answer

Ans:

a)Atleast one of the pi differes from the hypothized value.

b)

Test statistic:

Calculated chi square=3.970

c)df=3-1=2

p-value=chidist(3.970,2)=0.1374

p-value>=0.1

d-1))As,p-value>0.05,we fail to reject H0.

d-2)No

Observed(O) Expected(E) (O-E)^2/E pass 472 460 0.313 fail but repaired 24 35 3.457 fail but scrapped 4 5 0.200 Total= 500 500 3.970

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