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Solve question 11 for part D only.

Solve question 11 for part D only.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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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