A manufacturer of nickelhydrogen batteries randomly selects

Solution

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. Does the data provide compelling evidence for concluding that more than 10% of all plates blister under such circumstances? Use alpha=0.10

A. State the null and alterative hypothesis.

Ho: P = 0.10

H1: P > 0.10

B. Calculate the test statistic.

P=14/100=0.14

z = \\frac{ p - P}{\\sqrt{ P*(1-P)/n}}

z = \\frac{ 0.14 - 0.10}{\\sqrt{ 0.10*(1-0.10)/100}}

=1.3333

C. Give a p-value corresponding to the test.

P=0.0912

D. Make a conclusion and interpret.

Calculated P = 0.0912 < 0.10 the level of significance

The null hypothesis is rejected.

There is evidence for concluding that more than 10% of all plates blister under such circumstances.