Question

A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 14 of the plates have blistered. (a) Does this provide compelling evidence for concluding that more than 10% of all plates blister under such circumstances? State and test the appropriate hypotheses using a significance level of 0.05. O Ho: p > 0.10 Ha: p = 0.10 Ho: P = 0.10 Ha: p < 0.10 = 0.10 Ha: P = 0.10 Ho: p = 0.10 Ha: p > 0.10 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your p-value to four decimal places.) z = P-value =
Part of the same question, need all of those parts answered. Double-check them as I have been getting the wrong answer. Thank you!

Answer 1

(x/n))=14/100 =0.14

z =(x/n-p)/√(p*(1-p)/n)=				1.33
p value =				0.0912

b)for n=100

rejection region: p+z*√p(1-p)/n =				0.1494
P(not be rejected given p=0.16)=P(phat<0.1494)=P(Z<(0.1494-0.1)/sqrt(0.16*0.84/100))=					P(Z<-0.29)=		0.3859

for n=200

rejection region: p+z*√p(1-p)/n =				0.1349
P(not be rejected given p=0.16)=P(phat<0.1349)=					P(Z<-0.97)=		0.1660

c)

required sample size             =n=

((zα(√po(1-po)+zβ(√pa(1-pa))/(p-po))2=

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