C/8 = - 12<br><br> please help fast

A buyer went to the market to buy strawberries. He purchased 120 randomly selected strawberries from a vendor who claimed that n

mafiozo [28]

Answer:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

Step-by-step explanation:

Data given and notation

n=120 represent the random sample taken

X=40 represent the number of strawberries damaged

$\hat p=\frac{40}{120}=0.333$ estimated proportion of strawberries damaged

$p_o=0.25$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that no more than 25% of his total harvest of strawberries was damaged.:

Null hypothesis: $p\leq 0.25$

Alternative hypothesis: $p > 0.25$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.333 -0.25}{\sqrt{\frac{0.25(1-0.25)}{120}}}=2.10$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.10)=0.018$

At 5% of significance we can conclude that the true proportion of strawberries damage is higher than 0.25

6 0

3 years ago

What is the measure of angle F in degrees when H is 127degrees and G is 33.5 degrees?

irina1246 [14]

Answer:

19.5

Step-by-step explanation:

Here is a key factors in triangles, it must add up to 180 degrees.

You have three angles in a triangle ABC,

A = 127

B = 33.5

C = ?

In this case you would add the two together (160.5) and subtract from 180 giving you the angle C = 19.5

CHECK:

Add 127+33.5+19.5 = 180! Yes!

PLs mark brainliest if you can! :)

4 0

3 years ago

Ryan uses 3 bars of clay for a sculpture. The first bar is 1.15 centimeters long. The second bar is 3.92 centimeters long. What

mash [69]

Since we aren't told the length of the 3rd bar, focus solely on the lengths of the first 2 bars. Add together their lengths: 1.15 cm + 3.92 cm = 5.07 cm.

6 0

4 years ago

Which line segment is a chord of o C in the diagram below?

Sholpan [36]

Answer:

A. AB

Step-by-step explanation:

line segment AB is a chord.

4 0

3 years ago

The function h(x) = x2 + 14x + 41 represents a parabola.

defon

Part A:

$h(x)= x^{2} +14x+41$

The first step of completing the square is writing the expression $x^{2} +14x$ as $(x+7)^{2}$ which expands to $x^{2} +14x+49$ .

We have the first two terms exactly the same with the function we start with: $x^{2}$ and $14x$ but we need to add/subtract from the last term, 49, to obtain 41.

So the second step is to subtract -8 from the expression $x^{2} +14x+49$

The function in completing the square form is
$h(x)= (x+7)^{2}-8$

Part B:

The vertex is obtained by equating the expression in the bracket from part A to zero

$x+7=0$
$x=-7$

It means the curve has a turning point at x = -7

This vertex is a minimum since the function will make a U-shape.
A quadratic function $a x^{2} +bx+c$ can either make U-shape or ∩-shape depends on the value of the constant $a$ that goes with $x^{2}$ . When $a$ is (+), the curve is U-shape. When $a$ (-), the curve is ∩-shape

Part C:

The symmetry line of the curve will pass through the vertex, hence the symmetry line is $x=-7$

This function is shown in the diagram below

3 0

4 years ago

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C/8 = - 12 please help fast