Hw7_skeleton

8.2

• 1. p=0.44
• 2. sample proportion, x/n
• 3. False
• 4. True
• 5. The shape of the sampling distribution of p̂ is approximately normal when np(1-p)≥10 and n≤0.5N.
• 6. The standard deviation of p̂ decreases as the sample size increases. If the sample size is increased by a factor of 4, then the standard deviation of p̂ is halved.
• 7. p̂~N(0.4,0.022)
• 8. p̂~N(0.7,0.026)
• 1. p̂~N(0.35,0.015)

  2. 0.004

  3. .0233

• 1. p̂~N(0.42,0.013)

  2. 0.0104

  3. 0.0618

• 1. p̂~(0.39,0.022)

  2. 0.3264

  3. 0.3232

  4. Yes, it would be unusual because the probability of 210 or more people believing marriage is obsolete from a sample size of 500 is about 8.7%.