1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alchen [17]
3 years ago
11

An opinion poll asks a random sample of adults whether they favor banning ownership of handguns by private citizens. A commentat

or believes that more than half of all adults favor such a ban. The null and alternative hypotheses you would use to test this claim are (a)
H0:p^=0.5;Ha:p^>0.5
(b)
H0:p=0.5;Ha:p>0.5
(c)
H0:p=0.5;Ha:p<0.5
(d)
H0:p=0.5;Ha:p≠0.5
(e)
H0:p>0.5;Ha:p=0.5
Mathematics
1 answer:
andreev551 [17]3 years ago
3 0

Answer:

(b) H0: p = 0.5; Ha: p > 0.5

Step-by-step explanation:

p represents the population proportion.

A null hypothesis is a statement from the population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

An alternate hypothesis is also a statement from the population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.

You might be interested in
Solution for dy/dx+xsin 2 y=x^3 cos^2y
vichka [17]
Rearrange the ODE as

\dfrac{\mathrm dy}{\mathrm dx}+x\sin2y=x^3\cos^2y
\sec^2y\dfrac{\mathrm dy}{\mathrm dx}+x\sin2y\sec^2y=x^3

Take u=\tan y, so that \dfrac{\mathrm du}{\mathrm dx}=\sec^2y\dfrac{\mathrm dy}{\mathrm dx}.

Supposing that |y|, we have \tan^{-1}u=y, from which it follows that

\sin2y=2\sin y\cos y=2\dfrac u{\sqrt{u^2+1}}\dfrac1{\sqrt{u^2+1}}=\dfrac{2u}{u^2+1}
\sec^2y=1+\tan^2y=1+u^2

So we can write the ODE as

\dfrac{\mathrm du}{\mathrm dx}+2xu=x^3

which is linear in u. Multiplying both sides by e^{x^2}, we have

e^{x^2}\dfrac{\mathrm du}{\mathrm dx}+2xe^{x^2}u=x^3e^{x^2}
\dfrac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]=x^3e^{x^2}

Integrate both sides with respect to x:

\displaystyle\int\frac{\mathrm d}{\mathrm dx}\bigg[e^{x^2}u\bigg]\,\mathrm dx=\int x^3e^{x^2}\,\mathrm dx
e^{x^2}u=\displaystyle\int x^3e^{x^2}\,\mathrm dx

Substitute t=x^2, so that \mathrm dt=2x\,\mathrm dx. Then

\displaystyle\int x^3e^{x^2}\,\mathrm dx=\frac12\int 2xx^2e^{x^2}\,\mathrm dx=\frac12\int te^t\,\mathrm dt

Integrate the right hand side by parts using

f=t\implies\mathrm df=\mathrm dt
\mathrm dg=e^t\,\mathrm dt\implies g=e^t
\displaystyle\frac12\int te^t\,\mathrm dt=\frac12\left(te^t-\int e^t\,\mathrm dt\right)

You should end up with

e^{x^2}u=\dfrac12e^{x^2}(x^2-1)+C
u=\dfrac{x^2-1}2+Ce^{-x^2}
\tan y=\dfrac{x^2-1}2+Ce^{-x^2}

and provided that we restrict |y|, we can write

y=\tan^{-1}\left(\dfrac{x^2-1}2+Ce^{-x^2}\right)
5 0
3 years ago
Hiro and his co-workers had lunch at a restaurant near their work. An 18% tip on their bill was $10.08. How much was the bill, n
Ghella [55]

Answer:

$8.27

Step-by-step explanation:

First we need to find the tip.  We know it was 18% of the total. So...

x (the variable we need to find)         18%

__                                                   =     ___

10.08 (the total bill including tip)        100%

cross multiply

100x = 181.44

--------------------   (divide by 100 to get x by itself)

100

x = 1.81 (The 18% tip that was given)

So now we know how much the tip was, we subtract it from the bill

10.08 - 1.81 = $8.27

5 0
3 years ago
A researcher is interested in determining if the more than two thirds of students would support making the Tuesday before Thanks
klio [65]

Answer:

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor of making the Tuesday before Thanksgiving a holiday, or they are against. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

So, the binomial probability distribution has two parameters, n and p.

In this problem, we have that n = 1000 and p = \frac{700}{1000} = 0.7. So the parameter is

a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.

8 0
3 years ago
The profits in a business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order. The profit for the
jeka94

Answer:

The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.

Step-by-step explanation:

The profits in the business are to be shared by the three partners in the ratio of 3 to 2 to 5, in that order.

That is:

3 : 2 : 5

The profit for the year was $176,500.

To find the number of dollars that each partner, we have to first find the total ratio and then divide each of the ratios by the total ratio and multiply by the profit.

The total ratio is:

3 + 2 + 5 = 10

The first partner will receive 3/10 of the profits:

\frac{3}{10} * 176500 = $52950

The second partner will receive 2/10 of the profits:

\frac{2}{10} * 176500 = $35300

The third partner will receive 5/10 of the profits:

\frac{5}{10} * 176500 = $88250

The first partner will receive $52950, the second partner will receive $35300, the third partner will receive $88250.

7 0
3 years ago
Tom bought a soft drink for $4.00 and 7 candy bars. He spent a total of $18.00. How
olga2289 [7]

Answer:

$2

Step-by-step explanation:

$18-$4=$14

$14/7=$2

8 0
3 years ago
Other questions:
  • 22/25 of a number is what percentage of that number
    7·2 answers
  • Help me answer #4 please
    6·1 answer
  • Chanita wants to swim the 21-mile English Channel in 48 hours. On the first day she swam 9 miles and then was picked up by a fer
    15·1 answer
  • Rational numbers between 6 and 7
    9·1 answer
  • The difference of two numbers is 3. their sum is 14. find the two numbers. (show work please)
    5·1 answer
  • Solve this equation <br> 16x^2-81=0
    9·2 answers
  • Which angles of the triangles measure 90°?
    6·2 answers
  • What is the answer for this​
    15·2 answers
  • Can you help me please ​
    15·1 answer
  • How many ounces of milk would you need for 5 ounces of flour?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!