Unformatted text preview: = 0.10, n×p = 6 < 10. This condition is not satisfied hence we CANNOT use the normal approximation to the binomial distribution. However, we may use exact distribution. Hypotheses: Ho: p = 0.10 vs. Ha: p > 0.10. Test Statistic: is Y = Number of resistors in the sample that do not meet the established tolerance limits. Then Y ~ B(60, 0.10). [Why? Check all 5 conditions for the binomial distribution.] The pvalue: Remember the general definition of the pvalue: From the observed data we have, We can find the above probability using a more extensive table than what you have in your text [Table 2 in the appendix]. Alternatively, we can see and state that Decision: Reject Ho since the pvalue is extremely large. Conclusion: The observed sample give strong evidence to indicate that the proportion of resistors that do not meet the established limits in the population exceeds the manufacturer’s claim of 10%....
View
Full Document
 Summer '08
 Kyung
 Statistics, Normal Distribution, 10%, Statistical hypothesis testing, 5%

Click to edit the document details