Question 305680: ONE SAMPLE HYPOTHESIS TEST FOR PROPORTION: The Webster University librarian believes that more than 60% of the books checked out by students was fictional material. In a random sample of 1000 students who checked books out in the last year, 628 checked out fictional material. What can one conclude about the librarian's hypothesis at a level of significance of .05?
2a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED (circle one)
2b) P-value = ________________
2c) REJECT THE NULL or DO NOT REJECT THE NULL? (circle one)
2d) Can we conclude the librarian’s claim is correct? YES or NO (circle one)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! ONE SAMPLE HYPOTHESIS TEST FOR PROPORTION: The Webster University librarian believes that more than 60% of the books checked out by students was fictional material. In a random sample of 1000 students who checked books out in the last year, 628 checked out fictional material. What can one conclude about the librarian's hypothesis at a level of significance of .05?
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2a) Direction = UPPER TAILED / LOWER TAILED / 2-TAILED (circle one)
Ans: The key words are "more than"; so the test is right tail.
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2b) P-value = ________________
p-hat = 628/1000 = 0.628
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test stat: z(0.628)=(0.628-0.600)/sqrt(0.6*0.4/1000) = 1.8074
p-value = P(z > 1.8074) = 0.0354
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2c) REJECT THE NULL or DO NOT REJECT THE NULL? (circle one)
Since the p-value is less than 5%, reject Ho.
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2d) Can we conclude the librarian’s claim is correct? YES or NO (circle one)
YES
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Cheers,
Stan H.
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