please provide step by step solutions ( including formulas and calculations) A c

Question

please provide step by step solutions ( including formulas and calculations)

A computer manufacturer is considering the use of a new process for assembling wiring harnesses. It tested 160 of these harnesses assembled by the new process, and found 4 defects. It would like to offer a warranty that its process will yield a very high reliability. Conduct a hypothesis test at the 5% significance level that the manufacturer is achieving at least 98 percent reliability. What do you conclude? Is this a viable claim?

Explanation / Answer

Ho p = 0.02

Ha: p > 0.02

X = 4 , n = 160

p^ =X/n = 4/160 = 0.025

TS = (p^ - p)/sqrt(pq/n)

= (0.025-0.02)/sqrt(0.02*0.98/160)

=0.4517539

critical value = 1.645 for 5% significance level

since TS < critical value

we fail to reject the null

this is not viable claim

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