# What is the test statistic? What is the critical value?

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 this provide compelling evidence for concluding that more than 10% of all plates blister under such circumstances using a significance level 0.05?

Let p be the true proportion of plates that blister under such circumstances. State the appropriate hypotheses.

A. H0: p < 0.10 versus Ha: p = 0.10

B. H0: p = 0.10 versus Ha: p 0.10

C. H0: p = 0.10 versus Ha: p > 0.10

D. H0: p > 0.10 versus Ha: p = 0.10

E. H0: p = 0.10 versus Ha: p < 0.10

What is the test statistic?

Give answer to three decimal places

What is the critical value?

Give answer to three decimal places.

The proper conclusion is to reject H0.

A. TRUE

B. FALSE

https://brainmass.com/statistics/hypothesis-testing/what-is-the-test-statistic-what-is-the-critical-value-122301

#### Solution Preview

Let p be the true proportion of plates that blister under such circumstances. State the appropriate hypotheses.

A. H0: p < 0.10 versus Ha: p = 0.10

B. H0: p = 0.10 versus Ha: p 0.10

C. H0: p = ...

#### Solution Summary

The solution discusses the test statistic and the critical value for a hypothesis test of nickel-hydrogen batteries.