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Century Business Products tested 198 computers with 8-bit microcontrollers and found that 13 failed to perform...

Century Business Products tested 198 computers with 8-bit microcontrollers and found that 13 failed to perform adequately on a compliance test. The same test was applied to a sample of 57 32-bit CPUs and 13 of those failed.

a. State the decision rule for 0.05 significance level: H0: π8π32;H1: π8 < π32. (Negative answer should be indicated by a minus sign. Round the final answer to 3 decimal places.)

Reject H0 if z <  .

b. Compute the pooled proportion. (Round the final answer to 3 decimal places.)

pc =

c. Compute the value of the test statistic. (Negative answer should be indicated by a minus sign. Round the final answer to 3 decimal places.)

Value of the test statistic  

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Answer #1

a)

Reject H0 if z < -1.645

b)

pooled proportion =-0.102

c)

value of the test statistic =-3.560 (try -3.561 or -3.600 if this comes wrong)

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