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

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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

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Solution Summary

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

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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 = ...

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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