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]
3 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]3 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
There are 2 grams of fat in 1 pound of chicken. there are 9 grams of fat in 4.5 pounds of chicken. How many grams of fat would b
kramer

Answer:

There will be 20 grams of fat in 10 pounds of chicken.

Step-by-step explanation:

Based of the pattern you can tell that the Grams of fat will always be double the amount of pounds.

2 grams of fat in 1 pound

9 grams in 4.5 pounds

So:

10 * 2 = Grams of fat

10 * 2 = 20 Grams of fat.

So there will be 20 grams of fat in 10 pounds of chicken.

5 0
3 years ago
Evaluate the expression for n =8 <br> 3+7 x n
bonufazy [111]

Answer:n=-83/60 or -1.383

Step-by-step explanation:

4 0
3 years ago
OK here's the deal, I need to graph F(x)=x^2 and F(x)=2^x as functions. I've run completely out of options, I've graphed them as
butalik [34]

Answer:

see attached graph

Step-by-step explanation:

You graphs look fine.  The only thing I can think of without seeing the question itself, its that perhaps the teacher wants them on the same graph?

7 0
3 years ago
someone pls help!! NO LINKS AND ONLY ANSWER IF U KNOW!! i’ll report u if u do either. pls explain well too
erica [24]

Answer:

can u please send the question again with clear picture of diagram?

7 0
2 years ago
Which values for h and k are used to write the function f of x = x squared 12 x 6 in vertex form?
Nesterboy [21]

The values of h and k when f(x) = x^2 + 12x + 6 is in vertex form is -6 and -30

<h3>How to rewrite in vertex form?</h3>

The equation is given as:

f(x) = x^2 + 12x + 6

Rewrite as:

x^2 + 12x + 6 = 0

Subtract 6 from both sides

x^2 + 12x = -6

Take the coefficient of x

k = 12

Divide by 2

k/2 = 6

Square both sides

(k/2)^2 = 36

Add 36 to both sides of x^2 + 12x = -6

x^2 + 12x + 36= -6 + 36

Evaluate the sum

x^2 + 12x + 36= 30

Express as perfect square

(x + 6)^2 = 30

Subtract 30 from both sides

(x + 6)^2 -30 = 0

So, the equation f(x) = x^2 + 12x + 6 becomes

f(x) = (x + 6)^2 -30

A quadratic equation in vertex form is represented as:

f(x) = a(x - h)^2 + k

Where:

Vertex = (h,k)

By comparison, we have:

(h,k) = (-6,-30)

Hence, the values of h and k when f(x) = x^2 + 12x + 6 is in vertex form is -6 and -30

Read more about quadratic functions at:

brainly.com/question/1214333

#SPJ1

3 0
2 years ago
Other questions:
  • MATH HELP?!!
    12·1 answer
  • The decimal 0.3(repeating) represents 1/3. what type of number best describes 0.9(repeating), which is 3 times 0.9(repeating)? e
    8·2 answers
  • Answer this equation <br> 256-3x=384-5x
    10·2 answers
  • What is the value of x in the equation 1/5x - 2/3y = 30 , when y = 15
    15·1 answer
  • Arlington and Vernonville are 160 miles apart. A car leaves Arlington traveling towards​ Vernonville, and another car leaves Ver
    8·2 answers
  • Mrs Thomas played a game. Her score changed the same amount each round. After 3 rounds, her score had changed by -18 points. How
    15·1 answer
  • ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
    8·1 answer
  • I will give a brainliest and 20pts to the person that can use the Pythagorean theorem to solve for x. Please help. I went over i
    6·1 answer
  • pls help mee I dont k ow this and if anyone is smort enough can you help me with the 9ther questions (5 i total my last redo)​
    7·2 answers
  • What is a parallelogram Grade 7?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!