A potential candidate for President has stated that she will run for office if at least 30% of Americans voice support for her candidacy. To make her decision she draws a random sample of 500 Americans. Suppose that in fact 35% of all Americans support her candidacy. What is the probability that the potential candidate will obtain a p^ ≥ 0.30 (and run for President)? Round your answer to four decimal places.

Probability that the potential candidate will run for President election is 0.0096.

Step-by-step explanation:

We are given that a potential candidate for President has stated that she will run for office if at least 30% of Americans voice support for her candidacy.

To make her decision she draws a random sample of 500 Americans. Suppose that in fact 35% of all Americans support her candidacy.

Let p = % of Americans voice support for her candidacy

The z score probability distribution for sample proportion is given by;

                               Z  =    ~ N(0,1)

where, = sample proportion of Americans support her candidacy = 35%

            n = sample of Americans = 500

Now, probability that the potential candidate will obtain a p^ ≥ 0.30 and run for President is given by = P( ≥ 0.30)

      P( ≥ 0.30) = P( ≥ ) = P(Z ≥ 2.34) = 1 - P(Z 2.34)

                                                                      = 1 - 0.9904 = 0.0096

The above probability is calculated by looking at the value of x = 2.34 in the z table which has an area of 0.9904.

Hence, the required probability is 0.0096.

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.