1 Lumber companies dry freshly cut boards in kilns 1 Lumber companies dry freshly cut...

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1 Lumber companies dry freshly cut boards in kilns 1 Lumber companies dry freshly cut boards in kilns before selling them As a result of the drying process a certain percentage of the boards crack The current drying procedure is known to produce cracks in 16 of the boards The drying supervisor wants to test a new method to determine if fewer boards will crack a State appropriate hypotheses for a significance test in this setting To investigate he selected an SRS of 50 boards dried them using the new method and found 5 that cracked p 5 50 0 10 To determine if these data provide convincing evidence that less than 16 of the boards will crack when using the new method 100 trials of a simulation were conducted Each dot in the graph below shows the proportion of boards that cracked in a random sample of 50 boards assuming that each board has a 16 chance of cracking b Use the simulation results to estimate the P value of the test c Interpret the P value d What conclusion would you make using a 0 05

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1 Lumber companies dry freshly cut boards in kilns 1 Lumber companies dry freshly cut boards in kilns before selling them As a result of the drying process a certain percentage of the boards crack The current drying procedure is known to produce cracks in 16 of the boards The drying supervisor wants to test a new method to determine if fewer boards will crack a State appropriate hypotheses for a significance test in this setting To investigate he selected an SRS of 50 boards dried them using the new method and found 5 that cracked p 5 50 0 10 To determine if these data provide convincing evidence that less than 16 of the boards will crack when using the new method 100 trials of a simulation were conducted Each dot in the graph below shows the proportion of boards that cracked in a random sample of 50 boards assuming that each board has a 16 chance of cracking b Use the simulation results to estimate the P value of the test c Interpret the P value d What conclusion would you make using a 0 05

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