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 12 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. • Ho: p=0.10 Hai p>0.10 Ho: p=0.10 Hap#0.10 Ho:p> 0.10 Ha: p=0.10 Ho: p = 0.10 Hap<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 = 0.67 P-value = 0.2514 State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence that more than 10% of plates blister under the experimental conditions. Do not reject the null hypothesis. There is not sufficient evidence that more than 10% of plates blister under the experimental conditions. Reject the null hypothesis. There is sufficient evidence that more than 10% of plates blister under the experimental conditions. Reject the null hypothesis. There is not sufficient evidence that more than 10% of plates blister under the experimental conditions. In reaching your conclusion, what type of error might you have committed? type type II (b) If it is really the case that 16% of all plates blister under these circumstances and a sample size 100 is used, how likely is it that the null hypothesis of part (a) will not be rejected by the 0.05 test? (Round your answer to four decimal places.) 0.3859 If it is really the case that 16% of all plates blister under these circumstances and a sample size 200 is used, how likely is it that the null hypothesis of part (a) will not be rejected by the 0.05 test? (Round your answer to four decimal places.) 0.1930

A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 12 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.

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	=

State the conclusion in the problem context.

Do not reject the null hypothesis. There is not sufficient evidence that more than 10% of plates blister under the experimental conditions.    

In reaching your conclusion, what type of error might you have committed?
type II

(b) If it is really the case that 16% of all plates blister under these circumstances and a sample size 100 is used, how likely is it that the null hypothesis of part (a) will not be rejected by the 0.05 test? (Round your answer to four decimal places.)

answer: 0.3859

If it is really the case that 16% of all plates blister under these circumstances and a sample size 200 is used, how likely is it that the null hypothesis of part (a) will not be rejected by the 0.05 test? (Round your answer to four decimal places.)

^ this is the question i need answered. ^

Answer 1

Ho: P=0.10 Hy: P >0.10 Р- Р Z ; Given data P = K = 12 00 PCI-P) -0.12 n=100 0.12 - 0.10 ZE =10.67 0.1*0.9 100 P-value = P(Z > 0.67) = P(Z <-0.67) Symmeni's about mean шо Excel bu 2- = NORMS DIST(-0.67) =10.2514 Conclusion second option | → Do not reject the mull hypothesis ... (TYPE IT

Pembet in 體 i ool - 0.1*0.9 - NORMSINV(0.95) WIZT V 100 P0.14935) P-01 .645 Jo.09 V 100 : P = 0.14935 PlTypeIIeriou) - PCP <0.14935 | P=0.16) Plzs 0,14935 -0.16 0.16x0.84 100 - P(Z <-0.29 ) = NORMS DIST (-0.29) =10.3859] . per n=200, P-0.1 = 10.180.9 = 1645 200 P = 0.1349 .: PCô20.1349 1P = 0.16) Plz < 0.1349 -0.16 0.16x0.84 I 200 EP (2-0.97 ) = NORMS DIST(-0.97) =10.1660]
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