Sample information: 24 out of 1000 people who were surveyed had type 2 diabetes. Use the above sample information and construct two confidence intervals (one with confidence level of 90% and the other one with confidence level of 99%) to estimate the proportion of people who have type 2 diabetes. What is the relationship between the confidence level and the size of the confidence interval

Solution :

The sample proportion

                                           = 0.024

90% confidence interval

The standard deviation  =

                                        =

                                        = 0.00484

z = 1.645 for 90% CI

Upper band = 0.024 + (0.00484 x 1.645 ) = 0.03196

Lower band = 0.024 - (0.00484 x 1.645 ) = 0.01603

Therefore, the 90% CI is (0.016, 0.032)

99% confidence interval

z = 2.576 for 99% CI

Upper band = 0.024 + (2.576 x 0.00484 ) = 0.0365

Lower band = 0.024 - (2.576 x 0.00484 ) = -0.0115

Therefore, the 99% CI is (0.0115, 0.0365)

3; 9 is 8 to -4

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17