Hw7_skeleton

8.2

• 1. .44
• 2. sample proportion,p hat=x/n
• 3. false
• 4. false
• 5. np(1-p) is greater than or equal to 10
• 6. The standard deviation of the distribution of the sample proportion decreases as the sample size increases
• 7. The distribution of p hat is approx. normal and mew sub p hat is .4 with a standard deviation of sigma sub p hat which is approx. .022
• 8. The distribution of p hat is normal with a mew sub p hat of .7 and a standard deviation of sigma sub p hat of .017
• 1. 1000(.35)(.65)=227.5 is greater than or equal to 10, 1000000(.05)=50,000 so the sample size n=1000 is less than 5% of the population size

  2. .0040, about 4 out of 1000 random samples of size n=1000 will result in 390 or more individuals with the characteristic

  3. .0233, 2% of the random samples in 320 or less individuals will have the characteristic

• 1. 460(.42)(.58)=112.056 is greater than or equal to 10, 15000000(.05)=750,000 the sample size n=460 is less than 5% of the population size

  2. .0102 about 1% of the samples from size n=1460 will result in 657 or more individuals with the characteristic

  3. .606, about 6%

• 1. The distribution of p hat is normal with a mean of .39 and a standard deviation of .022

  2. .3228, about 32% of samples from size n=500 adults will result in less than 38% who believe that marriage is obsolete

  3. .3198, about 32% of the random samples from size n=500 adults will have between 40 and 45 percent of the respondents who say marriage is obsolete

  4. .0838 about 8 percent of random samples of the size n=500 will have at least 210 of the respondents who say marriage is obsolete