Question

For differences of sampled proportions, explain the circumstances for which a) one uses the two proportions...

For differences of sampled proportions, explain the circumstances for which a) one uses the two proportions pz and p2 to calculate the SE; b) or uses the pooled proportion to calculate the SE.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

For Hypothesis Testing of difference in two proportions:

If the hypothesis testing is as follows:

H0: Null Hypothesis: p1 - p2 = 0

HA: Alternative Hypothesis: p1 - p2 0,

we use the pooled proportion to calculate the SE.

i.e.,

If the Hypothesis involves testing of difference other than 0, then unpooled proportion to calculate the SE will be used.

For example:

If the hypothesis testing is as follows:

H0: Null Hypothesis: p1 - p2 = 0.1

HA: Alternative Hypothesis: p1 - p2 0,1

we use the unpooled proportion to calculate the SE.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
5) In the context of a hypothesis test for two proportions, which of the following statements...
5) In the context of a hypothesis test for two proportions, which of the following statements about the pooled sample proportion, p, is/are true? I. It estimates the common value of p1 and p2 under the assumption of equal proportions. II. It is obtained by averaging the two sample proportions p^ and p^ . 12 III. It is equal to the proportion of successes in both samples combined. A) III only B) I, II, and III C) I and II...
A two proportion z interval was constructed for the difference in the two population proportions, p1-...
A two proportion z interval was constructed for the difference in the two population proportions, p1- p2. The resulting 99% confidence interval was (–0.004, 0.12). A conclusion that could be drawn is: A: There is no significant difference between p1 and p2. B: There is a significant difference between p1 and p2. C: The range of possible differences between the two proportions could be from a 0.4% difference with p2 being larger up to a 12% difference with p1 being...
When comparing two sample proportions with a​ two-sided alternative​ hypothesis, all other factors being​ equal, will...
When comparing two sample proportions with a​ two-sided alternative​ hypothesis, all other factors being​ equal, will you get a smaller​ p-value if the sample proportions are close together or if they are far​ apart? Explain. Choose the correct answer below. A. The​ p-value will be smaller if the sample proportions are far apart because a larger difference results in a larger absolute value of the numerator of the test statistic. B. The​ p-value will be smaller if the sample proportions...
Calculate the estimate for the standard error of the difference between two proportions for each of...
Calculate the estimate for the standard error of the difference between two proportions for each of the following cases. Consider that the standard error is to be used in confidence interval calculation. (Give your answers correct to four decimal places.) The proper TI-84 program to use for these calculations is PRGM - STDERROR -1 PROPORTION PRGM - STDERROR -2 MEANS PRGM - STDERROR -2 PROP-HYP TST PRGM - STDERROR -2 PROP-CNF INT (a) n1 = 30, p1' = 0.8, n2...
What are the fundamental differences between problem-focused coping and emotion-focused coping. Under what circumstances would one...
What are the fundamental differences between problem-focused coping and emotion-focused coping. Under what circumstances would one choose each one? Which do you prefer to use and why? This must be in essay form.
which test should i use? for each(one proportion? two proportions? chi-square? one mean? paired samples? two...
which test should i use? for each(one proportion? two proportions? chi-square? one mean? paired samples? two means?) and WHY “How do the number of siblings a student has compare to the number of pets that student has?” “How does the number of siblings a student from Asia has compare to the number of siblings that a student from North America has?” “How do the self-reported tech skills of students who play video games compare to those who do not.”
Comparing Two Independent Population Proportions For this question assume the population is at least 20 times...
Comparing Two Independent Population Proportions For this question assume the population is at least 20 times larger than the sample size. The null hypothesis is that the proportions from A and B are equal. The numbers you need to answer the questions are nA = 16 , nB = 22 , p' A  is 0.5625 and xB = 6 Find xA    This needs to be whole number. Find p'B   Round to 4 decimal places Find the pooled proportion. pc  =   to 4 decimal...
A master chocolatier claims that there is a difference in the proportions of milk and dark...
A master chocolatier claims that there is a difference in the proportions of milk and dark chocolate lovers who like their new recipe. They select a random sample of 160 milk chocolate lovers and 200 dark chocolate lovers and find that 35% of milk chocolate lovers and 25% of dark chocolate lovers like their new recipe. Test their claim at a 5% significance level. a) Define Population 1 and Population 2. Select one: a. Population 1 = 5% milk chocolate...
In a large clinical trial, 398,890 children were randomly assigned to two groups. The treatment group...
In a large clinical trial, 398,890 children were randomly assigned to two groups. The treatment group consisted of 200,145 children given a vaccine for a certain disease, and 40 of those children developed the disease. The other 198,745 children were given a placebo, and 159 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. a. Assume that a 0.10 significance level will be used to test the...
In a test for the difference between two proportions, the sample sizes were n1=68 and n2=76...
In a test for the difference between two proportions, the sample sizes were n1=68 and n2=76 , and the numbers of successes in each sample were x1=41 and x2=25 . A test is made of the hypothesis Ho:p1=p2 versus H1:P1>p2 are the assumptions satisfied in order to do this test?Explain. B) Find the test statistics value C) Can you reject the null hypothesis at the a=0.01 significance level? Use Ti-84 for calculations please. DETAIL PLEASE
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT