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A commercial claims that 8 out of 10 dentists recommend a certain brand of toothpaste. To test this claim, a random sample of 85 dentists is obtained. Of these 85 dentists, 73 indicated that they recommend that brand of toothpaste. Using a significance level of 5%, test the claim to see if the proportion of dentists who recommend this toothpaste is not 8 of 10.



a) State the null and alternative hypotheses

b) State the p value

c) Make a conclusion about the claim

Answers

Answer 1

Answer:

rgb

Step-by-step explanation:

wrtbtrb

Answer 2

a) The null hypothesis is: p = 0.8 and the alternative hypothesis is p ≠ 0.8.

b) p-value is 0.0838

c) We accept the null hypothesis

What are null and alternative hypothesis?

The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.

What is p-value?

A p-value is a statistical measurement used to validate a hypothesis against observed data.

a. Let p be the proportion of 8 out of 10 dentists.

The null hypothesis is

[tex]H_0 : p=\frac{8}{10}=0.8[/tex]

The alternative hypothesis is

[tex]H_1:p\neq 0.8[/tex]

b. The sample proportion [tex]\hat p=\frac{73}{85}\approx 0.86\\[/tex]

Z-score, the test statistic is

[tex]Z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}}{n} } \\\\Z=\frac{0.86-0.8}{\frac{\sqrt{0.8(1-0.8)}}{85} }\\ \\Z=\frac{0.06}{0.043386}\\ \\Z=1.3829\\\\Z\approx 1.38[/tex]

P(Z > 1.38) = 1 - P(Z < 1.38)

∴ P(Z > 1.38) = 1 - 0.9162 = 0.0838

p-value is 0.0838

c. Since the p-value is greater than the level of significance α=0.05, we reject the alternative hypothesis and accept the null hypothesis

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This is invalid because you don't have to go some were to love something.

Answer:

Invalid

Step-by-step explanation:

All graduates love football;

This means all people who are graduates will love the football, it tells us nothing at all about people who are not graduates;

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He could, therefore, fall into either category, being a graduate since all graduates love the football or not being a graduate, since these might also love the football.

-3 (-3 - n) - 4 = 3n + 5

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[tex]-3 (-3 - n) - 4 = 3n + 5\\\\\implies 9+3n -4 = 3n+5\\\\\implies 5 +3n = 3n+5\\\\\text{The equation is true for all values of n.}[/tex]

What does it mean to be an independent student? A. You must pick your own study topics and research them. B. You can set your own deadlines, within a fixed time frame. C. You are responsible for your own study schedule and organization. D. You are expected to work without extra help from a teacher or tutor.

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C

Step-by-step explanation

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[(-4 2/7) x (-18)] x (-3 8/9) x (-1)

Answers

Answer:

300

Step-by-step explanation:

[(-4 2/7) x (-18)] x (-3 8/9) x (-1)

= [-30/7 x -18] x -35/9 x -1

= 540/7 x -35/9 x -1

= -300 x -1

= 300

Answer:

check if the question I used is right or not

Can someone pls answer them all?

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If you multiply by 24 you should get $864

Sarah opened a savings account with a $725 deposit. This account earns 3.5% annual interest compounded twice each month. How long will it take her account to reach a balance of $2000 if there are no other deposits or withdrawals.

Answers

Jody invested less in an account paying simple interest than she did in an account paying simple interest. At the end of the first year, the total interest from both accounts was Find the amount invested in each account.

It will take 29 years to reach $725 to $2000 compounded twice in a month.

What is compound interest?

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

The formula for compound interest compounded twice each month is,

A = P(1 +(r/24)/100)²⁴ⁿ.

Given, A = 2000, P = 725, r = 3.5.

∴ 2000 = 725(1 + (3.5/24)/100)²⁴ⁿ.

(1 + (3.5/24)/100)²⁴ⁿ = 2.76.

(1.00146)²⁴ⁿ = 2.76.

24n = [tex]log_{1.00146}2.76[/tex].

24n = 695.87.

n = 29 years.

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Help help math math math

Answers

Answer:

400

Step-by-step explanation:

10 movies * 5 drinks * 8 candy = 400 ways different ways to choose

Answer:

400

Step-by-step explanation:

Billy invests $5,000 in an account at 4.2% for 15 years, compounded monthly. Assuming no other deposits or withdrawals are made, how much will Billy have at the end of 15 years?

Answers

5,008 and you can find it on nerd wallet

The amount Billy has at the end of the 15 years is $9,377.73.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P[tex](1 + r/n)^{nt}[/tex]

P = principal

r = rate

t = time in years

n = number of times compounded in a year.

We have,

P = $5000

r = 4.2%

t = 15 years

n = 12

A = P[tex](1 + r/n)^{nt}[/tex]

A = 5000 [tex](1 + 0.0035)^{180}[/tex]

A = 5000 x [tex]1.0035^{180}[/tex]

A = $9,377.73

Thus,

Billy has $9,377.73 at the end of the 15 years.

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on tuesday a local a hamburger shop sold a combined total of 448 hamburgers and cheeseburgers , the number of cheeseburgers sold was three times the number of hamburgers sold how many hamburgers were sold on tuesday ?

Answers

Cheeseburger=3/4
Hamburgers=1/4
448/4=112
112x3=336
Cheeseburgers=336
Hamburgers=112
112 hamburgers were sold on Tuesday.

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What is the maximum rate, r, that the scuba diver may descend?



r≥241925


r≤12.6


r≤241925


r≥12.6

Answers

Answer:

r <= 12.6

Step-by-step explanation:

Let's calculate the rate at which he descends:

r = (46.7 - 15.2)/212 = 0.15 feet/minute

1 What is the universe made of? ...
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1. big planets and carbon dioxide

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A scientist crosses two pea plants that are

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color. Tall is dominant over short and purple is

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Then answer the questions below.

Answers

The Punnett square is a diagram divided into squares that is used to determine genotypes.

The question is incomplete, as the required details such as the characters that represent the plant heights and the flower colors are not given.

So, I will give a general explanation instead.

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See attachment for an illustration of the Punnett square.

Read more about Punnett square at:

https://brainly.com/question/15723456

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Answer:

Merry Christmas too!!

Step-by-step explanation:

Stay safe lovelots

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Here is the answer and the working

A birthday cake was cut into equal pieces, and 10 pieces were eaten. The
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Answers

Answer:

  Rs 8500

Step-by-step explanation:

For a cost price of c, the marked price is ...

  marked = c +25%·c = 1.25c

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The profit will be the difference between the sale price s and the cost c:

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Then the cost is ...

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1. given

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Answers

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Answer:

What supplies?

Step-by-step explanation:

a prisms base has a perimeter of 12cm and a height of 2 cm. the area of the base was 5cm. what is the surface area of the prism.

Answers

Answer:  34 square cm

==============================================================

Explanation:

For any prism, there are two congruent bases opposite one another. In other words, the bases are identical polygons with the same area. Each base is 5 square cm. So far, that accounts for 5+5 = 10 square cm of surface area. Let A = 10 as we'll use it later.

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Answers

Answer:

-5 2/3

Step-by-step explanation:

is 3(x-2) = -7 then it's same as 3x-6=-7

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Our result is

3x=-17

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Answers

Answer:

(f-g)(x) is given by -x^2+4x+6

Step-by-step explanation:

The dean of a business college in the Midwest claims that he can correctly identify whether a student is a finance major or a music industry management major by the way the student dresses. Suppose in actuality that he can correctly identify finance majors 84% of the time, while 16% of the time he mistakenly identifies a music industry management major as a finance major. Presented with one student and asked to identify the major of this student (who is either a finance or music industry management major), the dean considers this to be a hypothesis test with the null hypothesis being that the student is a finance major and the alternative that the student is a music industry management major. Which of the following statements illustrates a Type I error?

a. Saying that the student is a finance major when in fact the student is a music industry management major.
b. Saying that the student is a music industry management major when in fact the student is a music industry management major.
c. Saying that the student is a finance major when in fact the student is a finance major.
d. Saying that the student is a music industry management major when in fact the student is a finance major.

Answers

Using error concepts, it is found that the option that represents a Type I error is:

d. Saying that the student is a music industry management major when in fact the student is a finance major.

The definitions of each type of error are as follows:

A Type I error happens when a true null hypothesis is rejected. A Type II error happens when a false null hypothesis is not-rejected.

In this problem, the Hypothesis are:

Null: Student is a finance major.Alternative: Student is a music industry management major.

By the definition of a Type I error, in this problem, it would consist in saying that a finance major student is a music industry management major student, hence option d is correct.

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Determine the value of the unknown
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Answers

The answer would be -5 because then you can do the opposite, 0+5 which would equal 5

The factor that most heavily influences your credit score is
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C. amount owed
D. payment history

Answers

Answer:

D.payment history

Step-by-step explanation:

D:payment history because it shows your past credit history

Help
Geometry 1
Find z

Answers

Answer:

8

Step-by-step explanation:

The triangles are the same, except one is dilated.

So the hypotenuse of one is 5, and the other is 10. The triangle is dilated to double the other's size. so 4*2 = 8

I have no idea what i just wrote, but the answer is correct.

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