A police officer would like to estimate the proportion of petty theft cases that have gone unsolved in a large city. He takes a random sample of 72 petty theft cases and finds 45 of these have gone unsolved.
Set up the equation for the 90% confidence interval for p.
Format: Estimate ± Crit. Value times x Standard Error

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

is the estimate

z is the zscore that has a pvalue of , also called the critical value.

The standard error is:

90% confidence level critical value

So , z is the value of Z that has a pvalue of , so .

Estimate:

72 petty theft cases and finds 45 of these have gone unsolved.

So

Standard error:

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction