What is the value of X (x+40) (3x)

Suppose that the p-value was 0.0259. what is the appropriate conclusion to make if α = 0.05?

fiasKO [112]

<span>It is clear to see that 0.0259 is less than 0.05. A p-value that is less than the confidence level of alpha indicates that there is sufficient evidence from the data that the null hypothesis should be rejected in favor of an alternative hypothesis.</span>

6 0

4 years ago

According to the U.S. Census Bureau, the prob ability that a randomly selected household speaks only English at home is 0.81. Th

ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that according to the U.S. Census Bureau, the prob ability that a randomly selected household speaks only English at home is 0.81.

The probability that a randomly selected household speaks only Spanish at home is 0.12.

(a) the probability that a randomly selected household speaks only English or only Spanish at home

= 0.81+0.12 = 0.93

(since these two are disjoint sets)

(b) the probability that a randomly selected household speaks a language other than only English or only Spanish at home

= 1-0.93= 0.07 (remaining)

(c) the probability that a randomly selected household speaks a language other than only English at home

=1-0.81=0.19

(d) Can the probability that a randomly selected household speaks only Polish at home equal 0.08? Why or why not?

Polish alone can never exceed 1-(0.81+0.12) i.e. 0.70

At most it can take values as 0.7 only

So no is the answer.

4 0

3 years ago

Solve the absolute value equation |8|=28

DENIUS [597]

The answer is false. This is because<u> 8 does not equal the number 28</u>.

Explination:

|8| = 28

8≠28

7 0

3 years ago

Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below cer

aleksley [76]

Answer:

a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates

Step-by-step explanation:

For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.

This means that $p = 0.7$

Five residential subscribers are randomly selected from San Juan, Puerto Rico

This means that $n = 5$

a. All five qualify for the favorable rate

This is P(X = 5). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

0.1681 = 16.81% probability that all five qualify for the favorable rate.

b. At least four qualify for the favorable rates

This is

$P(X \geq 4) = P(X = 4) + P(X = 5)$

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602$

$P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681$

$P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283$

0.5283 = 52.83% probability that at least four qualify for the favorable rates

5 0

3 years ago

A class has 18 students. the teacher asks how many students in the class have pets and find 5/9 of students have pets. how many

adell [148]

Here is the answer to the given question above. Given that there are a total of 18 students and 5/9 of the students have pets, let us divide 18 by 9 to see how many students have pets. So the answer would be 2. Since it is 5 out of 9, we multiply 2 by 5 and we get 10. Therefore, the answer is 10 students. Hope this answer helps.

7 0

3 years ago