The proportion of defective parts produced by ABC Company was equal to 0.20 when the owner ordered some changes in the assembly process. After the changes were put into effect, a random sample of 50 parts was tested, revealing a total of 6 defective parts. Do the sample data provide sufficient sample evidence to conclude that the proportion of defective parts produced by ABC Company became different from 0.20 after the changes in assembly process? Test the appropriate hypothesis using critical value approach. Use level of significance a = 0.05. a. State null and research hypotheses: Ho H₁: b. Find the observed value of test statistic. Keep 2 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is Z obs. = c. State the rejection region (in the form of inequality). The rejection region is d. Insert the word sufficient or insufficient into the following statement. There is been changed after the changes in the assembly process were put into effect. sample evidence that the proportion of defective parts has

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The proportion of defective parts produced by ABC Company was equal to 0.20 when the owner
ordered some changes in the assembly process. After the changes were put into effect, a random
sample of 50 parts was tested, revealing a total of 6 defective parts.
Do the sample data provide sufficient sample evidence to conclude that the proportion of defective
parts produced by ABC Company became different from 0.20 after the changes in assembly
process?
Test the appropriate hypothesis using critical value approach. Use level of significance a = 0.05.
a. State null and research hypotheses:
Ho:
H₁ :
b. Find the observed value of test statistic.
Keep 2 digits after decimal point in the expression for observed value of test statistics.
The observed value of test statistic is Z =
obs.
c. State the rejection region (in the form of inequality).
The rejection region is
d. Insert the word sufficient or insufficient into the following statement.
There is
sample evidence that the proportion of defective parts has
been changed after the changes in the assembly process were put into effect.
-
Transcribed Image Text:The proportion of defective parts produced by ABC Company was equal to 0.20 when the owner ordered some changes in the assembly process. After the changes were put into effect, a random sample of 50 parts was tested, revealing a total of 6 defective parts. Do the sample data provide sufficient sample evidence to conclude that the proportion of defective parts produced by ABC Company became different from 0.20 after the changes in assembly process? Test the appropriate hypothesis using critical value approach. Use level of significance a = 0.05. a. State null and research hypotheses: Ho: H₁ : b. Find the observed value of test statistic. Keep 2 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is Z = obs. c. State the rejection region (in the form of inequality). The rejection region is d. Insert the word sufficient or insufficient into the following statement. There is sample evidence that the proportion of defective parts has been changed after the changes in the assembly process were put into effect. -
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