Question

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

Answer 1

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