All categories

2 years ago

Find the value of the test statistic z using z = .

Mathematics

1 answer:

RUDIKE [14]2 years ago

6 0

Answer:

$\sf z = -16.35$

formula:

$\sf z = \dfrac{s-p}{\sqrt{\dfrac{p(1-p)}{n} } }$

Here s = 0.3, p = 0.5, n = 1671

solve:

$\rightarrow \sf z = \dfrac{0.30-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1671} } }$

$\rightarrow \sf z = \dfrac{-0.2}{\sqrt{\dfrac{0.25}{1671} } }$

$\rightarrow \sf z = -16.35$

You might be interested in

What is 0.85 as fraction? Show your work please and thank you!

Levart [38]

Answer:

85/100

Step-by-step explanation:

There are only 2 numbers after the decimal point which means that is 0/100. You would get 85/100 and you can't simplify more than that.

Hope This Helps :)

4 0

3 years ago

Read 2 more answers

Describe the sample space for each of these experiments (a) A coin is tossed and a single die is rolled. (b) A paper cup is toss

kondor19780726 [428]

Answer:

a) S={(head,1),(head,2),(head,3),(head,4),(head,5),(head,6),(tails,1),(tails,2),(tails,3),(tails,4),(tails,5),(tails,6)}

b) S={top,bottom,side}

c) S={(Ace of diamonds),(Two of diamonds),(Three of diamonds),(Four of diamonds),(Five of diamonds),(Six of diamonds),(Seven of diamonds), (Eight of diamonds),(Nine of diamonds),(Ten of diamonds), (Jack of diamonds), (Queen of diamonds), (King of diamonds), (Ace of hearts),(Two of hearts),(Three of hearts),(Four of hearts),(Five of hearts),(Six of hearts),(Seven of hearts), (Eight of hearts), (Nine of hearts),(Ten of hearts), (Jack of hearts), (Queen of hearts),(King of hearts),(Ace of clubs),(Two of clubs),(Three of clubs),(Four of clubs),(Five of clubs),(Six of clubs),(Seven of clubs), (Eight of clubs), (Nine of clubs),(Ten of clubs), (Jack of clubs),(Queen of clubs),(King of clubs),(Ace of spades),(Two of spades),(Three of spades),(Four of spades),(Five of spades),(Six of spades),(Seven of spades),(Eight of spades), (Nine of spades),(Ten of spades),(Jack of spades),(Queen of spades),(King of spades)}

Step-by-step explanation:

The sample space is all the possible outcomes from each experiment:

a) The sample has the pairs of the result of the coin (head or tails) and the dice (a number from 1 to 6):

S={(head,1),(head,2),(head,3),(head,4),(head,5),(head,6),(tails,1),(tails,2),(tails,3),(tails,4),(tails,5),(tails,6)}

b) A paper cup can land in three different ways, on its top, bottom or side:

S={top,bottom,side}

c) The sample space is all the cards in the deck:

S={(Ace of diamonds),(Two of diamonds),(Three of diamonds),(Four of diamonds),(Five of diamonds),(Six of diamonds),(Seven of diamonds), (Eight of diamonds),(Nine of diamonds),(Ten of diamonds), (Jack of diamonds), (Queen of diamonds), (King of diamonds), (Ace of hearts),(Two of hearts),(Three of hearts),(Four of hearts),(Five of hearts),(Six of hearts),(Seven of hearts), (Eight of hearts), (Nine of hearts),(Ten of hearts), (Jack of hearts), (Queen of hearts),(King of hearts),(Ace of clubs),(Two of clubs),(Three of clubs),(Four of clubs),(Five of clubs),(Six of clubs),(Seven of clubs), (Eight of clubs), (Nine of clubs),(Ten of clubs), (Jack of clubs),(Queen of clubs),(King of clubs),(Ace of spades),(Two of spades),(Three of spades),(Four of spades),(Five of spades),(Six of spades),(Seven of spades),(Eight of spades), (Nine of spades),(Ten of spades),(Jack of spades),(Queen of spades),(King of spades)}

3 0

3 years ago

3x + y = -2<br> x = 2 - y

andrezito [222]

Answer:

$y = 4 \\ x = - 2$

Step-by-step explanation:

$3(2 - y) + y = - 2 \\ 6 - 2y = - 2 \\ 2y = 8 \\ y = 4 \\ \\ x = 2 - 4 \\ x = - 2$

I hope that uesful for u :)

5 0

2 years ago

Y=25x+35

kow [346]

Answer:

The equation is in the form y=mx+b, where m=slope, b=y-intercept.

The y-intercept is 35: so the line goes through the y-axis at (0,35).

The slope is 25: so we need to count out the slope as rise over run, or 25 up and 1 to the right, starting from the y-intercept.

8 0

3 years ago

Read 2 more answers

Find the perimeter and area of each figure.

Sergio039 [100]

Answer:

1. A = 2x; P = 4x+2. A = 4; P = 10.

2. A = y² +2; P = 4y +2. A = 27; P = 22.

Step-by-step explanation:

1. The area is the sum of the marked areas of each of the tiles:

A = x + x

A = 2x

The perimeter is the sum of the outside edge dimensions of the tiles. Working clockwise from the upper left corner, the sum of exposed edge lengths is ...

P = 1 + (x-1) + x + 1 + (x+1) + x

P = 4x +2

When x=2, these values become ...

A = 2·2 = 4 . . . . square units

P = 4·2+2 = 10 . . . . units

_____

2. Again, the area is the sum of the marked areas:

A = y² + 1 + 1

A = y² +2

The edge dimension of the square y² tile is presumed to be y, so the perimeter (starting from upper left) is ...

P = y +(y-2) +1 +2 +(y+1) +y

P = 4y +2

When y=5, these values become ...

A = 5² +2 = 27 . . . . square units

P = 4·5 +2 = 22 . . . . units

4 0

3 years ago