B. In a test of the effect of dampness on electric connections, 100 electric connections were...

B. In a test of the effect of dampness on electric connections, 100 electric connections were tested under damp conditions and 150 were tested under dry conditions. Twenty of the damp connections failed and only 10 of the dry ones failed.

(i) Conduct a hypothesis test with α = 0.10 to determine whether or not there is a greater proportion of connections which fail under damp conditions compared to dry conditions. Be sure to state your hypotheses, test statistic, p-value, and conclusions.

(ii) Construct a 90% two-sided confidence interval for the difference of proportions πdamp −πdry. Compare the CI with the results of the hypothesis test in (i). Are the conclusions consistent?

Expert Solution

(B)

(i)

Conclusion: There is evidence to conclude that there is a greater proportion of connections which fail under damp conditions compared to dry conditions

(ii)

Let sample 1 shows the sample of electric connections tested under damp conditions and sample 2 shows the sample of electric connections tested under dry conditions.

Since confidence interval does not contain zero and all values are greater than zero so we reject the null hypothesis on the basis of confidence interval.

(iii) Yes conclusion are consistent.

milcah answered 1 year ago

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