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azamat
3 years ago
8

g A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number

of times, and determines that 11 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% of all plates blister under such circumstances
Mathematics
1 answer:
nlexa [21]3 years ago
4 0

Complete 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 11 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% of plates blister under such circumstances?

A) State H_0 and H_a, (5 pts)

B) Test the hypothesis using the P-Value approach at a significance level of 4%: (15 pts)

Expert Answer

Answer:

a)H_0:p=0.10

  H_a:p>0.10

b) We fail to reject Null hypothesis

Step-by-step explanation:

From the question we are told that:

Sample size n=100

No. with blistered x=11

a)

Generally the Hypothesis given as

H_0:p=0.10

H_a:p>0.10

b)

Since p=0.10

Therefore

p'=\frac{11}{100}

p'=0.11

Test statistics

Z=\frac{p'-p}{\sqrt{p(1-p)}}

Z=\frac{0.11-0.10}{\sqrt{0.10*0.90/100}}

Z=1.33

From table

P-Value =0.092

Therefore

P-value >0.04 significance level

Hence,We cannot conclude that at 4\% significance level the proportion is greater than 10\%

We fail to reject Null hypothesis

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