The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H0 : p=0.28 vs Ha : p<0.28 when the sample has n=800, and p^=0.217 with SE=0.01.

Required:
Find the value of the standardized z-test statistic.

Answers

Answer 1

Answer:

Z = -6.3

Step-by-step explanation:

Given that:

[tex]\mathbf{H_o :p= 0.28}[/tex]

[tex]\mathbf{H_o :p < 0.28}[/tex]

Since the alternative hypothesis is less than 0.28, then this is a left-tailed hypothesis.

Sample sixe n = 800

[tex]\hat p[/tex] = 0.217

The standard error [tex]S.E(p) = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]S.E(p) = \sqrt{\dfrac{0.28(1-0.28)}{800}}[/tex]

[tex]S.E(p) \simeq0.015[/tex]

Since this is a single proportional test, the test statistics can be computed as:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.217- 0.28}{0.01}[/tex]

Z = -6.3


Related Questions

Rewrite 4x − 2y = 10 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =

Answers

Add -2y and subtract 10
2y = 4x - 10
Divide by 2
Y = 2x - 5
m= 2, b= -5

Answer:

y=2x-5

slope is 2 and y intercept is -5

Step-by-step explanation:

this is because you put y by itself and the equation becomes -2y=-4x+10. Multiply by -1 to make these positive and get 2y=4x-10. Divide both sides by 2 and make the equation y=2x-5. Hope this helps

What the * stands for ?

Answers

Depends. It’s called an asterisk.
In math it’s used for multiplying.
So 5*5= 25

A laboratory scale is known to have a standard deviation of Ï = 0.001 gram in repeated weighings. Scale readings in repeated weighings are Normally distributed, with mean equal to the true weight of the specimen. A particular specimen is weighed 8 times on this scale. The average weight is x ¯ = 4.1602 grams. A 99% confidence interval for the true weight of the specimen is:_______

Answers

Answer:

the confidence interval for the true weight of the specimen is;

4.1593 ≤ μ ≤ 4.1611

Step-by-step explanation:

We are given;

Standard deviation; σ = 0.001

Sample size; n = 8

Average weight; x¯ = 4.1602

We are given a 99% confidence interval and the z-value at this interval is 2.576

Formula for confidence interval is;

CI = x¯ ± (zσ/√n)

Plugging in the relevant values, we have;

CI = 4.1602 ± (2.576 × 0.001/√8)

CI = 4.1602 ± 0.000911

CI = (4.1602 - 0.000911), (4.1602 + 0.000911)

CI ≈ (4.1593, 4.1611)

Thus, the confidence interval for the true weight will be expressed as;

4.1593 ≤ μ ≤ 4.1611

Where μ represents the true weight

Factors of 121 what do you think ???

Answers

Step-by-step explanation:

[tex]121 = 11 \times 11[/tex]

1, 11 and 121

Lisa takes a night walk after dinner every night. She walks 1/4 mile in 2 minutes. How how does she walk in 10 minutes? (write-in decimal form)

Answers

Answer:

1.25 miles

Step-by-step explanation:

Lisa takes a night walk after dinner every night.

She walks 1/4 mile in 2 minutes.

Distance = 1/4 mile

Time, t = 2 minutes

For covering 1 mile,

1/4 mile = 2 minutes

In 1 minute she will cover [tex]\dfrac{1}{8}\ \text{mile}[/tex]

For 10 minutes, she will cover [tex]\dfrac{10}{8}\ \text{mile}\ or\ 1.25\ \text{miles}[/tex]

So, she will cover 1.25 miles.

Given 2x+4y=12 what is the x and y int

Answers

both are 2! 2x2=4 4x2=8 so 8+4=12

How many ways can you arrange the word HOCKEY using only 5 letters
if each letter can only be used once?

Answers

Answer:

Total arrangement = 720

Step-by-step explanation:

Given:

Total letter n = 6

Using letter r = 5

Computation:

Total arrangement = nPr

Total arrangement = !n / !(n-r)

Total arrangement = !6 / !(6-5)

Total arrangement = 6 x 5 x 4 x 3 x 2

Total arrangement = 720

What is the Magnitude of 6.8

Answers

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Santiago Chile (AP)

♥plz give me brain list it would help a lot!

                                                   ♥ お力になれて、嬉しいです

12 cookies for 3 students rate and unit rate

Answers

Answer:

3:12 1:4

Step-by-step explanation:

Hope this helps! (^-^)

Answer: 4 cookies per student.

Step-by-step explanation:

his is a fraction equal to

12 cookies ÷ 3 students

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

12 cookies ÷ 3

3 students ÷ 3

=

4 cookies

1 student

=

4 cookies

student

= 4 cookies per student

Please Note: IMAGE BELOW IS NOT DRAWN TO SCALE!
Given: Point E is the midpoint of AC and DF
Prove: ADEA AFEC
C
F
А
B
B

Answers

Answer:

more imformation?

Step-by-step explanation:

a number plus the sum of the number
and seven.

Answers

Answer:

x+(x+7)

Step-by-step explanation:

sum=add all together

What are the different ways to write multiplication?

Answers

Answer:

Distribution, equal groups, skip counting, repeated addition, and array.

Step-by-step explanation:

• x it help leave my first like :)

pls answer this yall
2a-1+8b-12b+7a-12

Answers

2a+7a+8b-12b-12-1 9a-4b-13

g The average work week in Los Angeles was 40.1 hours in the first quarter of 2019. It is believed that the pandemic has led to a reduction in the average work week. To test the validity of this belief, the hypotheses are

Answers

Answer:

b. Hо : μ ≥ 40.1; Ha : μ > 40.1

Step-by-step explanation:

Note: The complete options to the question is attached as picture below

The alternative hypothesis is focusing on "the recession has led to a reduction in the average work week".

So, it will be less than the past average. i.e, 40.1.. so, we will use a less than (<) sign to write the alternative hypothesis.

The hypotheses are as below:

Hо : μ ≥ 40.1 (Null hypothesis)

Ha : μ > 40.1 (Alternative hypothesis)

Set up a proportion and solve. Round answers to the nearest tenth.

What is 20% of 72?

Answers

14.4 I hope this helped you :)
It would be 14.4 (it’s already a tenth so no rounding) be if it needs to be rounded to nearest whole number, it would be just 14 :)!! Hope this helps!! Pls mark as brainliest!! Have a great night!!

8x + 13x

PLEAsE HLEP ME SLOVE THIS PLEASE SHOW WORK TO? THANK YOU

Answers

Answer & Step-by-step explanation:

Since they are like terms (meaning they are in the same form), you can add:

[tex]8x+13x=21x[/tex]

:Done

200 people watched a movie. 55% of the people liked the movie. How many
people did not like the movie?

Answers

Answer:

115

Step-by-step explanation:

Answer:

90 people

Step-by-step explanation:

So, all you have to do is put the equation as a proportional rate. First, you should subtract 55% from 100% to get you 45%, since that's the percentage of the people who didn't like it. Now, put that percentage in a fraction, so 45/100. Next to it, put the fraction x/200, since the denominator should be the total amount of people and x for the people who didn't like the movie. To solve this, you must take the numerator from 45/100 with the denominator from x/200 and multiply it, getting you 9000. Now divide this from the denominator in the fraction 45/100, getting you to 45/100 = 90/200. So x=90.

If that was confusing, just think about it like this... 200 is a multiple of 100, right? So, to get your answer you could just multiply 45/100 by 2 on both sides getting you to 90/200 = 90/200.

Hope that helps ;D

In which pair do both decimals represent rational numbers?
O A. 0.296 and 0.9888...
B. 4.462837305718274... and 0.9888
O C. 6.32891237302554... and 0.9888...
D. 6.32891237302554... and 0.296

Answers

Answer:

Step-by-step explanation:

Option A. 0.296 and 0.9888 is correct because rational no are terminating and repeating ..

Which recursive formula defines the sequence?

f(1) = 6, f(4) = 12, f(7) = 18

Answers

Step-by-step explanation:

HELP PLEASE NO FOOLISH ANSWERS
QUESTION: When we apply a force to something, it moves! Mass is important for calculating how fast things accelerate (change speed) when we apply a force to them. What determines how fast a car can speed up? You probably know that your car accelerates slower if it has five adults in it than if it only has one. IDEK WHY THIS IS A MATH PROBLEM-

Answers

Answer:

Mass determines how fast a car can accelerate. Since a car accelerates slower with more adults, and faster with less adults, this means that the mass has a big impact on acceleration. Therefore, we can conclude that the mass determines how fast a car can accelerate.

if receiver travels 54 yards in 9 seconds whats the average speed

Answers

Answer:

Step-by-step explanation:

The average speed is 6 yards in 1 second!

GO CHEIFS!

Hope it helps

Answer:

6

Step-by-step explanation:

To find the average speed which is also the unit rate you simply need to divide the two numbers.

54 ÷ 9 = 6

So, 6 yards is your average speed.

Make me brainliest

Enter an Integer to represent the situation.
a $535 profit

Answers

Answer:

67

Step-by-step explanation:

Took a test

A city holds an election for mayor every 2 years and an election for treasurer every 6 years. It held elections for both mayor and treasurer this year. How many years will
it be before the elections for mayor and treasurer both happen in the same year again?

Answers

Answer:

3years

Step-by-step explanation:

Answer:

It will take for about 6 six years for the election for both positions be taken

A pharmacologist measured the concentration of dopamine in the brains of several rats. The mean concentration was 1,269 ng/gm and the standard deviation was 145 ng/gm.4 What was the standard error of the mean if:_______.(a) 8 rats were measured?
(b) 30 rats were measured?

Answers

Answer:

51.265242 ng/gm ; 26.473257 ng/gm

Step-by-step explanation:

The standard error of the mean = standard deviation / √sample size

Given that:

mean concentration = 1,269 ng/gm

Standard deviation (s) = 145 ng/gm

Standard Error if 8 rats were measured :

Sample size (n) = 8

Standard Error = s / √n

Standard Error = 145 / √8

Standard Error = 145 / 2.8284271

Standard Error = 51.265242 ng/gm

If 30 rats were measured :

Standard Error = 145 / √30

Standard Error = 145 / 5.4772255

Standard Error = 26.473257 ng/gm

If ll m, find the value of each missing variable(s) .

Answers

Answer:

1. m=5

2. 2(8x+11)

3.m=7

Step-by-step explanation:

A carpenter needs to cut two pieces of trim around a window at 34 3/8 inches each. If the saw blade will remove 1/8 of an inch of wood, what is the smallest piece of wood that can be used to produce both pieces?

Answers

Answer:

It is so ez, it is of course 2

Step-by-step explanation:

solve for the unknown.
4^2x+3=1
what does x equal?

Answers

Answer:

x = -1/8

Step-by-step explanation:

4^2x + 3 = 1 start by simplifying the equation

16x + 3 = 1 now subtract 3 on both sides

16x = -2 isolate the variable by dividing 16 on both sides

x = -1/8

Answer:

x = -1/8

Step-by-step explanation:

4^2x + 3 = 1

You want to try to get the x on one side by itself.

First step subtract 3 from both sides

4^2x + 3 -3 = 1 -3

so now it looks like 4^2x = -2

We know 4^2 is 4x4 which is 16.

16x= -2

Divide 16 by both sides.

x = -2 / 16

Reduce.

x = -1/8

     

Please turn the sentence into an expression

3. twelve more than the sum of ten and a
number

Answers

Answer:

Do U-Turn

Step-by-step explanation:

Step-by-step explanation:

12+(10+x)

I hope this helps

Find the midpoint of the segment with the following endpoints.
(-3, 8) and (-8,2)

Answers

Answer:

[tex](\frac{-11}{2},5)[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point (-3, 8)

Point (-8, 2)

Step 2: Solve for midpoint

Substitute:                    [tex](\frac{-3-8}{2},\frac{8+2}{2})[/tex]Subtract/Add:               [tex](\frac{-11}{2},\frac{10}{2})[/tex]Divide:                          [tex](\frac{-11}{2},5)[/tex]

Answer:

The answer is (-5.5, 5)

How do you solve 5(N+4)/3 = N-8

Answers

Answer:

n=-22

Step-by-step explanation:

rewrite the equation as 5(n+4) = n-8

3

now distribute the 5 through the parentheses 5n+20 = n-8

3

multiply each side by 3 5n+20=3n - 24

subrtact 3n from both sides 5n+20=3n - 24

-3n -3n

2n+20=-24

then subtract 20 from each side 2n +20=-24

-20 -20

Giving you 2n=-44 then divide both sides by 2

2n=-44 Giving you n=-22

2 2

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