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3 years ago

In a hypothesis test, if the computed P-value is greater than a specified level of significance, then we__________.

Mathematics

1 answer:

Verizon [17]3 years ago

8 0

Answer:

We fail to reject the null hypothesis.

Step-by-step explanation:

In a hypothesis test, if the computed p-value is grater than a specified level of significance, then we fail to reject the null hypothesis. The p-value can be computed as the probability of getting a value equal or greater (in absolute value) than the observed value using the test statistic, this implies that if the p-value is greater than a specified level of significance, then the observed value does not fall inside the rejection region. Therefore we fail to reject the null hypothesis.

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The number of lightning strikes in a year at the top of a particular mountain has a poisson distribution with a mean of 3.8. fin

atroni [7]

Let X be the number of lightning strikes in a year at the top of particular mountain.

X follows Poisson distribution with mean μ = 3.8

We have to find here the probability that in randomly selected year the number of lightning strikes is 0

The Poisson probability is given by,

P(X=k) = $\frac{e^{-mean} mean^{x}}{x!}$

Here we have X=0, mean =3.8

Hence probability that X=0 is given by

P(X=0) = $\frac{e^{-3.8} 3.8^{0}}{0!}$

P(X=0) = $\frac{0.02237 * 1}{1}$

P(X=0) = 0.0224

The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224

5 0

3 years ago

Pls help asap I will mark brainlist

Luba_88 [7]

<u>Answer</u>:

A. y = $\frac{-2}{3}x$ + 3

<u>Explanation</u>:

slope: $\frac{y2-y1}{x2-x1}$

: $\frac{1-3}{3-0}$

: $\frac{-2}{3}$

equation: y - y1 = m( x - x1 )

y - 1 = $\frac{-2}{3}$ ( x - 3 )

y = $\frac{-2}{3}x$ + 3

6 0

2 years ago

The Key Club is having a fundraising dinner for charity. The venue that holds a maximum of 500 people will

Alexus [3.1K]

Answer:

$\dfrac{\$1000+\$20x}{x} \leq \$25$

Minimum 200 people other than the 2 charity representatives.

Step-by-step explanation:

Given that:

The venue can hold a maximum of 500 people.

Cost of venue = $1000

Per person cost for food = $20

Two charity representatives get to attend the dinner for free.

To find:

The inequality and to determine how many people must come to keep costs at most $25.

Solution:

Let the number of people attending the dinner = $x$

Cost of food for $x$ people = $\$20x$

Total cost = $1000 + $\$20x$

Cost per person = Total cost divided by Number of people attending the dinner.

As per question statement:

$\dfrac{\$1000+\$20x}{x} \leq \$25\\\Rightarrow 1000+20x\leq25x\\\Rightarrow 1000 \leq 5x\\\Rightarrow x\geq 200$

Therefore, the answer is:

Minimum 200 people other than the 2 charity representatives should attend the dinner.

8 0

2 years ago

Show that for any real number x ≥ 0 the set (x,x + 1]∩N is a singleton set

inessss [21]

Answer: First, a singleton set is the set with only one element, for example, the set {∅} or set "null" is a singleton.

now, X ≥ 0, and X ∈ R.

(x,x + 1]∩N is the intersection between the set x and x+1 with the set of natural numbers, so the result of this operation is the set of all the natural numbers between x and x+1.

if x is a rational (or irrational) number, such as 1.5, then x +1 = 2.5

in (1.5, 2.5] there is only one natural element, the 2, then (x,x + 1]∩N is the singleton {2}

if x is a positive integer number, such as 1, then x + 1 = 2

the set is (1,2] is important to notice that 1 ∉ (1,2] because the set is open in the lower limit. so this set only contains one natural number, the 2; so again; the intersection with the natural set is a singleton

So this is proven for x rational, irrational and integers.

This happens because each element in the natural set is separated by the next one by 1, and in the set (x,x + 1] although the distance between the lower and upper limits is 1, the set is open in the lower limit, so the distance is < 1. then you never can have two natural numbers on this set.

8 0

3 years ago

Martha breaded 1/2 of fish and ate 1/3 how much did Martha eat

tigry1 [53]

So she breaded 1/2 of the fish and then ate 1/3 of that 1/2. So we need to find 1/3 of 1/2.

When you see "of" it means "×"

1/3 of 1/2 =
1/3 × 1/2 =
1/6

She ate 1/6 of the fish. She only ate 1/6 because fish is gross.

6 0

3 years ago