a hospital director is told that 30% of the treated patients are uninsured. the director wants to test the claim that the percentage of uninsured patients is less than

the expected percentage. a sample of 340 patients found that 85 were uninsured. state the null and alternative hypotheses.

Step-by-step explanation:

Definition:

Null Hypothesis : It is a statement about the population parameter that contains = , ≤ and ≥ signs.

Alternative hypothesis : It is also a statement about the population parameter against the null hypothesis that contains ≠  , < and > signs.

For the given situation.

Let be the population proportion of treated patients are uninsured.

A hospital director is told that 30% of the treated patients are uninsured.

Then, Null Hypothesis :

The director wants to test the claim that the percentage of uninsured patients is less than  the expected percentage.

i.e. Alternative hypothesis :

Hence, the set of hypothesis :

p> q if you calculate p is100 q is 79

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.