In a survey of 100 adults, 91 of them said that they trusted dna testing. a. what is pˆ , the sample proportion of adults who trust dna testing? b. find and interpret the 98% confidence interval for the proportion of adults that trust dna testing

a) The sample proportion of adults who trust DNA testing is p=0.91.

b) 98% CI:

We can claim with 98% confidence that the real proportion of adults that trust DNA is between 0.84 and 0.98.

Step-by-step explanation:

a) In this problem, we calculate p-hat, the sample proportion of adults who trust DNA testing, as

b) The z-value for a 98% CI is z=2.326.

The standard deviation of the proportion is:

Then we can define the CI as:

We can claim with 98% confidence that the real proportion of adults that trust DNA testing is between 0.84 and 0.98.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0