Final answer:
To write a confidence statement for the proportion of people who support a certain amendment to the state constitution, calculate the margin of error using the formula (ME = z * √(p*q/n)). Subtract the margin of error from the proportion and add it to the proportion to construct the confidence interval.
Step-by-step explanation:
A confidence statement is used to estimate the range of values within which the true population parameter is likely to fall. In this case, we want to write a 95% confidence statement for the proportion of people who support a certain amendment to the state constitution.
The proportion of people who support the amendment is 58%. To write the confidence statement, we need to determine the margin of error, which is calculated using the formula: ME = z * √(p*q/n)
Once we have the margin of error, we can construct the confidence interval by subtracting the margin of error from the proportion and adding it to the proportion. The confidence statement would be:
We are 95% confident that the true proportion of people who would support the amendment to the state constitution is between (proportion - margin of error) and (proportion + margin of error)