An opinion poll about school choice asks a sample of 70 randomly selected north county adults whether they favor giving parents of school-aged children vouchers that can be exchanged for tuition at any local private school. Based on other research, it is believed that 15% of the adult population in this area support government funded vouchers for school choice.
a. Describe the shape, center, and variability of the sampling distribution for the sample proportion (p-hat) for this poll. Use proper notation for describing the center and spread of this distribution and calculate both as needed.
b. What condition must be met when determining the measure of spread?
c. Determine the probability that the proportion of adults who support government sponsored vouchers for school-choice is between 18% and 22%. Explain your response and show your work.
d. A group plans to conduct a similar opinion poll for the same issue in south county. Based on other research, it is believed that 30% of the adult population in this area support government funded vouchers for school choice. What is the minimum sample size the group must use so that the sampling distribution will be approximately normal? Clearly explain your reasoning.
3. An opinion poll about school choice asks a sample of 70 randomly selected north county adults whether they favor giving parents of school-aged children vouchers that can be exchanged for tuition at area support government funded vouchers for school choice. a.Describe the shape, center, and variability of the sampling distribution for the sample proportion (p-hat) for this poll. Use proper notation for describing the center and spread of this distribution and calculate both as needed.
b.What condition must be met when determining the measure of spread?
c.Determine the probability that the proportion of adults who support government sponsored vouchers for school-choice is between 18% and 22%. Explain your response and show your work.
d.A group plans to conduct a similar opinion poll for the same issue in south county. Based on other research,it is believed that 30% of the adult population in this area support government funded vouchers for school choice. What is the minimum sample size the group must use so that the sampling distribution will be approximately normal? Clearly explain your reasoning