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Statistics Homework Solutions 136

# Statistics Homework Solutions 136 - 136 Yes we can compute...

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136 CHAPTER 6 19. Yes, we can compute the P -value exactly. Since the 95% upper confidence bound is 3.45, we know that 3 40 1 645 s n 3 45. Therefore s n 0 0304. The z -score is 3 40 3 50 0 0304 3 29. The P -value is 0.0005, which is less than 0.01. Section 6.3 1. X 25, n 300, p 25 300 0 083333. The null and alternate hypotheses are H 0 : p 0 05 versus H 1 : p 0 05. z 0 083333 0 5 0 05 1 0 05 300 2 65. Since the alternate hypothesis is of the form p p 0 , the P -value is the area to the right of z 2 65, so P 0 0040. The claim is rejected. 3. X 25, n 400, p 25 400 0 0625. The null and alternate hypotheses are H 0 : p 0 05 versus H 1 : p 0 05. z 0 0625 0 05 0 05 1 0 05 400 1 15. Since the alternate hypothesis is of the form p p 0 , the P -value is the area to the right of z 1 15, so P 0 1251. The company cannot conclude that more than 5% of their subscribers would pay for the channel. 5. X 330, n 600, p 330 600 0 55. The null and alternate hypotheses are H 0 : p 0 50 versus H 1 : p 0 50.
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