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
Oliga [24]
2 years ago
9

According to a study by the American Pet Food Dealers association, 63 percent of U.S. households own pets. A report is being pre

pared for an editorial in the San Francisco Chronicle. As a part of the editorial a random sample of 300 households showed 210 own pets. Does this data disagree with the Pet Food Dealers Association data? Use a .05 level of significance.
Mathematics
1 answer:
Nastasia [14]2 years ago
7 0

Answer

z=\frac{0.7 -0.63}{\sqrt{\frac{0.63(1-0.63)}{300}}}=2.511  

p_v =2*P(z>2.511)=0.012  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of households with pets is different from 0.63. This data disagree deom the Pet food association

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

X=210 represent the households with pets

\hat p=\frac{210}{300}=0.7 estimated proportion of households with pets

p_o=0.63 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_vrepresent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that true proportion is 0.63:  

Null hypothesis:p=0.63  

Alternative hypothesis:p \neq 0.63  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.7 -0.63}{\sqrt{\frac{0.63(1-0.63)}{300}}}=2.511  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.511)=0.012  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of households with pets is different from 0.63. This data disagree deom the Pet food association

You might be interested in
Please help with the ones you can do. It’s due tomorrow
tia_tia [17]
Hope that helps you, Good luck!

7 0
3 years ago
A line with points (-4.0) and (-3.1)<br> has a slope of?
pychu [463]

Slope is the change in y over the change in x

Slope = (1-0) /( -3 - -4)

Slope = 1/1

Slope = 1

5 0
2 years ago
Convert x2 + y2 -4x = 0 to polar form.
Bingel [31]

Answer:

r(r-4\cos \theta)=0

Step-by-step explanation:

We are given the following equation:

x^2 + y^2 -4x = 0

We have to convert it into polar form.

We put

x = r \cos \theta\\y = r\sin \theta

Putting values, we get:

x^2 + y^2 -4x = 0\\(r\cos \theta)^2 + (r\sin \theta)^2 - 4(r\cos \theta) = 0\\r^2(\cos^2 \theta + \sin^2 \theta) - 4r\cos \theta = 0\\r^2 - 4r\cos \theta = 0\\r(r-4\cos \theta)=0

is the required polar form.

7 0
2 years ago
Finding a parametric description of the solution set of a linear system is the same as solving the system.Choose the correct ans
Grace [21]

Answer:

The answer is "Choice B".

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, in all choices, the choice (B) is Correct because in the declaration of the statement Only when the process has had at least another answer could a candidate solution for more than just a linear model explicitly uses a parametric description that's why the given statement is true.

7 0
3 years ago
the weight of a bucket is 33/2 kg. if 1/4 of the bucket contains water weighing 21/4 kg , determine the weight of empty bucket
Sauron [17]

Answer:

15.733kg

Step-by-step explanation:

33.2 - 21.4 = 11.8

3/4 of the bucket empty is 11.8kg.

11.8 divided by 3 is 3.933. 3.933 x 4 is 15.733

7 0
2 years ago
Other questions:
  • What is the answer and how do you do this problem?
    7·1 answer
  • Two examples that have a gcf of 8
    15·2 answers
  • Write the quadratic equation in standard form.
    8·2 answers
  • Convert each of the following percents to FRACTIONS.
    13·1 answer
  • Which pair of angles is congruent?
    7·1 answer
  • 6c = 7c − 7<br> with work shown
    11·2 answers
  • PLSSS HELPP I BEGG What is the solution to the system of linear equations graphed below?​
    7·1 answer
  • ANYONE GOOD AT MATH CAN PLEASE HELP ME???
    5·2 answers
  • Car m left town q and car n left town p at the same time. at noon car m traveled 2/3 of the distannce from q to p and car n had
    9·1 answer
  • A triangle has an area of 20 in2. If the height
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!