Answer:
C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.
Step-by-step explanation:
Given that 20% of the residents in a certain state support an increase in the property tax.
Sample size = 400
We want the sample proportion to be within 0.04 of the true proportion (i.e., between 0.16 and 0.24)
i.e. margin of error <0.04
Std error of sample =
Critical value = margin of error/ std error =
We know z value for 95% two tailed roughly equals 2.
Hence 95% confidence is right.
C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.