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Answer:
The calculated value Z= -0.5822
|z| = |-0.5822|< 2.576 at 0.01 level of significance
Hence null hypothesis is accepted
The quality manager at Restful Company is certifying a new process that must produce 95% (or better) good product
Step-by-step explanation:
<u>Explanation:</u>-
<u>Step:-(i)</u>
The Population proportion is P = 95% =0.95
A sample of 40 containers from the process line are tested, and 93% are found to be good
Sample size ( n) =40
The sample proportion 'p' = 0.93
<u>Level of significance (α )= 0.01.</u>
<u>Null hypothesis:</u>-p = 95%=0.95
<u>Alternative hypothesis:- </u>p≠0.95
The test statistic
(i)
<u>Step:(ii)</u>
substitute all values in (i)
Z = -0.5822
The calculated value Z= -0.5822
|z| = |-0.5822|< 2.576 at 0.01 level of significance
Hence null hypothesis is accepted
<u>Conclusion</u>:-
The quality manager at Restful Company is certifying a new process that must produce 95% (or better) good product