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
katrin [286]
3 years ago
13

A random sample of 150 men found that 88 of the men excercise regularly, while a random sample 200 women found that 130 of the w

omen exercise regularly. A friend says that she believes that a higher proportion of women then men exercise regularly. Write hypotheses that you could use to test your friend's belief. (Be sure to define the parameters referred to in the hypotheses.) Do not actually perform the test. ONLY write the hypotheses.
Mathematics
2 answers:
maxonik [38]3 years ago
7 0

Answer:

Null Hypothesis, H_0 : p_1 \leq p_2   or  p_1-p_2 \leq 0

Alternate Hypothesis, H_a : p_1>p_2   or  p_1-p_2>0

Step-by-step explanation:

We are given that a random sample of 150 men found that 88 of the men exercise regularly, while a random sample 200 women found that 130 of the women exercise regularly.

A friend says that she believes that a higher proportion of women then men exercise regularly.

For this firstly;

Let p_1 = proportion of women who exercise regularly

     p_2 = proportion of men who exercise regularly  

So, Null Hypothesis, H_0 : p_1 \leq p_2   or  p_1-p_2 \leq 0

Alternate Hypothesis, H_a : p_1>p_2   or  p_1-p_2>0

Here, <u><em>null hypothesis</em></u> states that the proportion of women who exercise regularly are less than or equal to the proportion of men who exercise regularly.

Similarly, <em><u>alternate hypothesis</u></em> states that proportion of women who exercise regularly are higher than the proportion of men who exercise regularly.

So, this is the correct hypothesis that would be used for conducting the test.

melamori03 [73]3 years ago
6 0

Answer:

The hypothesis is:

<em>H₀</em>: p_{X}-p_{Y}=0.

<em>Hₐ</em>: p_{X}-p_{Y}.

Step-by-step explanation:

Let <em>X</em> = number of men who exercise regularly and <em>Y</em> = number of women who exercise regularly.

The information provided is:

n_{X}=150\\X=88\\n_{Y}=200\\Y=130

Compute the sample proportion of men and women who exercise regularly as follows:

\hat p_{X}=\frac{X}{n_{X}}=\frac{88}{150}=0.587

\hat p_{Y}=\frac{Y}{n_{Y}}=\frac{130}{200}=0.65

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 150 and \hat p_{X}=0.587.

The random variable <em>Y</em> also follows a Binomial distribution with parameters <em>n</em> = 200 and \hat p_{Y}=0.65.

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\hat p=p

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}}

So, the sampling distribution of the proportion of men and women who exercise regularly follows a Normal distribution.

A two proportion <em>z</em>-test cab be performed to determine whether the proportion of women is more than men who exercise regularly.

The hypothesis for this test cab be defined as:

<em>H₀</em>: The proportion of women is same as men who exercise regularly, i.e. p_{X}-p_{Y}=0.

<em>Hₐ</em>: The proportion of women is more than men who exercise regularly, i.e. p_{X}-p_{Y}.

You might be interested in
36^ - 1/2 Wich is equivalent? A -18<br> B -6<br> C- 1/18<br> D- 1/6
STatiana [176]

Answer:

3rd

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
You are creating an emergency fund and decide to place $415.00/month in an account that earns a 3.75 APR. How much interest accr
hoa [83]

At the end of the first full month the interest acquires is $ 1.30.

<u>Step-by-step explanation:</u>

Since we are looking for the interest for full month, we have to divide the APR by 12.

Because APR is the interest amount for the full year.

So 3.75 % = 3.75/100 = 0.0375

Now multiplying, we will get

415 × 0.0375/12 = $ 1.30

4 0
3 years ago
30 POINTS! <br><br> Use set builder notation to represent the following set. {... -3, -2, -1, 0}
Wittaler [7]
<span>{x | x I, x ≤ 0}
because I is the Integers</span>
4 0
3 years ago
THIS IS FUNNY
yaroslaw [1]

Answer:

thats funny lol :)

Step-by-step explanation:

8 0
2 years ago
Helppppppppppppppppppppp!
In-s [12.5K]

Answer:

1:3

Step-by-step explanation:

Since your scaling down you divide the smaller number by the larger number

7/21=1/3

=1:3

Hope this helps :)

5 0
2 years ago
Other questions:
  • amy bought a square table for her kitchen. The area of the table’s surface is 99ft². What is the best approximate length of one
    5·1 answer
  • Drag the orange point on the cube to change its side length. Then set the base of the pyramid to the same dimensions as a face o
    6·2 answers
  • Tables seating 4 people we're available for outside eating if 21 tables were filled how many people ate outside
    14·1 answer
  • The measurement of one angle of a right triangle is 34°.
    9·2 answers
  • Solve I=Prt for t, if I=105, P=700, and r=0.05
    11·1 answer
  • What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?
    6·1 answer
  • Daniel is a walmart he got a hoverboard for 100 dollars he pay with 250 dollars how much money did he get back
    11·1 answer
  • The graphs of ​ f(x)=−32x+2 ​ and ​ g(x)=3x−10 ​ intersect at (2, −1)
    9·2 answers
  • please someone help with this question we are doing angle properties in polygons and I can't figure out b) i will give brainest
    13·1 answer
  • 6th grade math help me pleaseee
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!