A pollster plans to survey a random sample of voters in a certain city to ask whether they support an increase in property taxes to fund the construction of a new elementary school. A preliminary poll of 40 voters finds that 29 of them support the proposal. (a) Find a 95% confidence lower bound for the proportion of voters who favor the proposal.

0.5867 is the lower bound for the proportion of voters who favor the proposal.  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 40

Number of voters who support the proposal, x = 29

95% Confidence interval:

Putting the values, we get:

0.5867 is the lower bound for the proportion of voters who favor the proposal.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0