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Solve question 11 for part D only.

Solve question 11 for part D only.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Solve question 11 for part D only.

11. The proportion of defective parts produced by ABC Company was equal to 0.25 when the owner ordered some changes in the assembly process. After the changes were put into effect, a random sample of 40 parts was tested, revealing a total of 8 defective parts. Do the sample data provide sufficient sample evidence to conclude that the proportion of defective parts produced by ABC Company was reduced and became smaller than 0.25 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: H₂: H₁₂ : b. Find the observed value of test statistic. Keep 3 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. Decide whether null hypothesis is rejected or is not rejected, and insert the word rejected or the words not rejected into the following statement. Null hypothesis is Insert the word sufficient or insufficient into the following statement. There is sample evidence that the proportion of defective parts became smaller than 0.25 after the changes in the assembly process were put into effect.
Transcribed Image Text:11. The proportion of defective parts produced by ABC Company was equal to 0.25 when the owner ordered some changes in the assembly process. After the changes were put into effect, a random sample of 40 parts was tested, revealing a total of 8 defective parts. Do the sample data provide sufficient sample evidence to conclude that the proportion of defective parts produced by ABC Company was reduced and became smaller than 0.25 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: H₂: H₁₂ : b. Find the observed value of test statistic. Keep 3 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. Decide whether null hypothesis is rejected or is not rejected, and insert the word rejected or the words not rejected into the following statement. Null hypothesis is Insert the word sufficient or insufficient into the following statement. There is sample evidence that the proportion of defective parts became smaller than 0.25 after the changes in the assembly process were put into effect.
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