Solving a two-sample z-test for two population proportions is to be performed using the P-value appr

istremage8o 2022-05-22 Answered
Solving a two-sample z-test for two population proportions is to be performed using the P-value approach.
The null hypothesis is H 0 : P 1 = P 2 and the alternative is H a : P 1 P 2 . Use the given sample data to find the P-value for the hypothesis test. Give an interpretation of the p-value.
n 1 = 200
n 2 = 100
x 1 = 11
x 2 = 8
I got a p-value of 0.4009 but I'm not sure how to interpret this p-value and what it means or if my result is correct.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Porter Cohen
Answered 2022-05-23 Author has 7 answers
If there is no difference in the proportions, there is about a 40.1% chance of seeing the observed difference or larger by natural sampling variation
I think this is the right interpretation for the p-value.
By the way, R u in UA? Stat151 in M.Yaskina's class.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-02-23
Interpreting z-scores: Complete the following statements using your knowledge about z-scores.
a. If the data is weight, the z-score for someone who is overweight would be
-positive
-negative
-zero
b. If the data is IQ test scores, an individual with a negative z-score would have a
-high IQ
-low IQ
-average IQ
c. If the data is time spent watching TV, an individual with a z-score of zero would
-watch very little TV
-watch a lot of TV
-watch the average amount of TV
d. If the data is annual salary in the U.S and the population is all legally employed people in the U.S., the z-scores of people who make minimum wage would be
-positive
-negative
-zero
asked 2022-02-03
Which sequence matches the recursive formula? an=2an1+5, where a1=5
A) 5,10,15,20,...
B) 5,15,35,75,...
C) 5,15,25,35,...
D) 5,20, 35, 50,...
asked 2022-05-15
I am reading the book "Elements of Information Theory" by Cover and Thomas and I am having trouble understanding conceptually the various ideas.
For example, I know that H(X) can be interpreted as the average encoding length. But what does H ( Y | X ) intuitively mean?
And what is mutual information? I read things like "It is the reduction in the uncertainty of one random variable due to the knowledge of the other". This doesn't mean anything to me as it doesn't help me explain in words why I ( X ; Y ) = H ( Y ) H ( Y | X ). Or explain the chain rule for mutual information.
I also encountered the Data processing inequality explained as something that can be used to show that no clever manipulation of the data can improve the inferences that can be made from the data. If X Y Z then I ( X ; Y ) I ( X ; Z ). If I had to explain this result to someone in words and explain why it should be intuitively true I would have absolutely no idea what to say. Even explaining how "data processing" is related to a markov chains and mutual information would baffle me.
I can imagine explaining a result in algebraic topology to someone since there is usually an intuitive geometric picture that can be drawn. But with information theory if I had to explain a result to someone at comparable level to a picture I would not be able to.
When I do problems its just abstract symbolic manipulations and trial and error. I am looking for an explanation (not these blah gives information about blah explanations) of the various terms that will make the solutions to problems appear in a meaningful way.
Right now I feel like someone trying to do algebraic topology purely symbolically without thinking about geometric pictures.
Is there a book that will help my curse?
asked 2021-11-13
Show all steps. Use algebra to find the point at ehich the line h(x)=92x+1135 intersects the line f(x)=92x585.
Write the values of x and y as reduced fractions or integers.
asked 2022-04-30
Question involving approximation, taylor series and proving
Question: Consider the approximation
ln(2)2(13+13×33+15×35)
Prove that the error in this approximation is less than
17×22×35
Attempt: It looks like the expression comes from the taylor series expansion so: ln(1+x)=xx22+x33x44+  for   1<x<1
ln(1x)=xx22x33x44+
ln(1+x1x)=2(x+x33+x55+x77)
Now let x=13
ln(2)=2(13+13×33+15×35+17×37)
So we have to prove that:
2(17×37+19×39+111×311)<17×22×35
asked 2022-05-29
Why is μ ( { x X : | f ( x ) | > max { | z | : z essential range of  f } } ) = 0 for f L ( X , μ ) (i.e. the essential supremum of f is finite)?
I cannot find a good explanation here to be honest, help.
asked 2021-08-15
Approximate the sum of the series correct to four decimal places.
n=1(1)n(2n)!

New questions