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jayycruz59
15.04.2020 •
Mathematics
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 circuits is tested, revealing 16 defectives. Part 1 (a) Use the data to test the hypothesis that the proportion is not 0.04. Use α =0.05. Round the answer to 2 decimal places.
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Ответ:
The test statistic
Z = 1.149
Since the calculated value of Z = 1.149 is less than 1.96 at 5% (0.05) level of significance.
The null hypothesis is accepted
Hence the proportion is not equal 0.04
Step-by-step explanation:
Given data a random sample of 300 circuits is tested, revealing 16 defectives.
The proportion of success
Null hypothesis:- H₀ = P ≠0.04
Alternative hypothesis:- H₁ = P =0.04
Q = 1-P = 1-0.04=0.96
Level of significance ∝ =0.05
The test statistic
now substitute all values, we get
on calculation, Z = 1.149
Since the calculated value of Z = 1.149 is less than 1.96 at 5% (0.05) level of significance.
The null hypothesis is accepted .
Hence the proportion is not equal 0.04
Ответ:
0.9 , 0.088 , 0.032
Step-by-step explanation:
0.9 --> 1st greatest
0.088 --> 2nd greatest
0.032 --> 3rd greatest
So, 0.9 , 0.088 , 0.032