Question

IU 3721 Assignment 1-Protected View- Saved to this PC View Help ρ Tell me what you want to do Review (s2/n) In an industry manufacturing process, 10% of samples were usually found to be defective. From a randomly 40 selected samples from a lot, 9 samples were found to be defective. Does this lot have higher defect rate than usual? Use 5% as your level of significance. 8
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Answer #1

its is an one sample propportion hypothesis testing

The hypothesised proportion is =0.10

the null hypothesis

Ho p 0.10

the alternative hypothesis

Hi: p>0.10

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I have performed the test in minitab

Steps

  1. Stat-Basic Statistics-one proportions
  2. One-Sample Proportion Summarized data Number of events: 9 Number of trials: 10 Perform hypothesis test Hypothesized proportion: 0.10 Select Options... Help OK Cancel
  3. options
  4.   One-Sample Proportion: Options Confidence level: Alternative hypothesis: Proportion >hypothesized proportion Method: 95.0 Exact Help OK Cancel
  5. ok-ok

output

29-01-2019 02:23:03 Welcome to Minitab, press Fl for help Test and Cl for One Proportion Test of p0.1 vs p> 0.1 Exact Sample X N Sample p 95% Lower Bound P-value 0.605837 0.000 9 10 0.900000

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As the p value is less than the signififance level=0.05 we reject the null hypothesis and conclude that this lot has higher defect than usual.

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