Answer:
The statements that are true are: A, B, F, G, and H.
Step-by-step explanation:
The statements are:
A. A 90% confidence interval would be narrower than the interval given.
TRUE.
The less confidence, the less conservative is the interval and the narrower it can be. So this statement is true.
B. You are 95% confident that the proportion of all seniors who drive to campus is in the interval from .69 to .85.
TRUE.
That is the definition of confidence interval.
C. 95% of all seniors drive to campus from 69% to 85% of the time, and the rest drive more frequently or less frequently.
FALSE.
The confidence interval only has meaning referred to the population proportion, not the individual values. So we can not claim this is true.
D. All seniors drive to campus an average of 77% of the time.
FALSE.
The average is expected to be, with 95% confidence, between 0.69 and 0.85. The sample proportion is 0.77*, and this outcome is used to calculate the confidence interval, but we don't know if the true average is 0.77.
*Sample proportion:
E. You are 95% confident that the proportion of seniors in the sample who drive to campus is between .69 and .85.
FALSE.
The sample proportion is known and it is 0.77.
F. 77% of the seniors in your sample drive to campus.
TRUE.
This is the sample proportion.
G. If the sampling were repeated many times, you would expect 95% of the resulting samples to have a sample proportion that falls in the interval from .69 to .85.
TRUE.
This is a property of the confidence intervals.
<em>H. If the sampling were repeated many times, you would expect 95% of the resulting confidence intervals to contain the proportion of all seniors who drive to campus.</em>
TRUE.
This is a property of the confidence intervals.
Answer:
The graph is shown below.
Step-by-step explanation:
Given:
The inequality of a line to graph is given as:
In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,
Now, we plot this line on a graph. The given line is of the form:
Where, 'm' is the slope and 'b' is the y-intercept.
So, for the line ,
The y-intercept is at (0, -3).
In order to draw the line correctly we find another point. Let the 'y' value be 0.
Now,
So, the point is (3, 0).
Now, we mark these points and draw a line passing through these two points.
Now, consider the line inequality . The 'y' value is less than
. So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.
The graph is shown below.
