in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine, the rate of flu infection was just 3.5%. What conclusion should you draw?

Step-by-step explanation:

Step 1: Define significance level

In this hypothesis testing problem, significance levels α is selected: , the associated z-value from Laplace table:

Φ() = α -

=> =

Step 2: Define null hypothesis () and alternative hypothesis ()

: rate of flu infection = 8.3% or 8.3/100 = 0.083

: rate of flu infection < 8.3% or 8.3/100 = 0.083

Step 3: Apply the formula to check test statistic:

with is actual sampling percent, is rate of flu infection of , is number of samples.

The null hypothesis will be rejected if

Step 4: Calculate the value of K and compare with

We have

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As states)

Hope this helps!

:)

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is