Question 631166: Dr. Cawood's class is presented with a large bin that contains small plastic beads. The beads in the box are either purple or white. Dr. Cawood states that 25% of the beads are purple but Oliver, a student in Dr. Cawood's class believes that more than a quarter of the beads in the model box are purple.
Oliver takes a random sample of beads and finds that 19 out of the 52 beads sampled are purple. What is the p-value associated with the hypothesis test from Question 2?
Give your answer to 4 decimal places.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Dr. Cawood states that 25% of the beads are purple but Oliver, a student in Dr. Cawood's class believes that more than a quarter of the beads in the model box are purple.
Oliver takes a random sample of beads and finds that 19 out of the 52 beads sampled are purple. What is the p-value associated with the hypothesis test from Question 2?
Give your answer to 4 decimal places.
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Ho: p = 0.25
Ha: p > 0.25
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p-hat = 19/52 = 0.3654
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Test stat: z(0.3654) = = (0.3654-0.25)/sqrt(0.25*0.75/19) = 1.1617
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p-value = P(z > 1.1617) = normalcdf(1.1617,100) = 0.1227
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Cheers,
Stan H.
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