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?
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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.