Explain the basic idea for performing a hypothesis test, based on independent samples, to compare two population proportions.

illusiia 2021-02-05 Answered
Explain the basic idea for performing a hypothesis test, based on independent samples, to compare two population proportions.
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

Expert Answer

izboknil3
Answered 2021-02-06 Author has 99 answers

Step 1
The test procedure, called the two-proportion z-test, is appropriate when the following conditions are met
(a)The sampling method for each population is simple random sampling.
(b)The samples are independent.
Step 2
Suppose p1 and p2 are the proportion of two populations.The hypothesis for comparing the two population proportion is as follows:
Null Hypothesis (H0):p1p2=0
The null hypothesis state that there is no difference in population proportion
Alternative Hypothesis (H1):p1 is not equal to p2.
The alternative hypothesis state that there is a significant difference between proportions.
Step 3
The test statistic is defined is as follows:
z=p1p2p(1p)(1n1+1n2)
Where,
p=n1p1+n2p2n1+n2
Decision rule:
If the test statistic is greater than z- critical. Reject the null hypothesis.

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

Relevant Questions

asked 2021-03-02
In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a conference
asked 2020-11-01
Solve the following problems applying Polya’s Four-Step Problem-Solving strategy.
If six people greet each other at a meeting by shaking hands with one another, how many handshakes take place?
asked 2021-02-02
Potential buyers for a new car were randomly divided into two groups. One group was shown the "A" version of an ad for the car, while the other group was shown the "B" version of the ad. All were then tested on their recall of key points made in the ad. The researcher should run a hypothesis test based upon a comparison of means for ?
In another study, a healthcare insurance company took measures of subscribers’ cardiac (heart) health. The people were then provided an app for their phones which provided "nudges" and reminders about heart-healthy behaviors, such as eating more vegetables and less fried or fatty food, taking walks and breaks from sitting too long, and getting enough sleep. After 4 months of having the app, the cardiac health measures were taken again, with the objective of seeing if nudges from the app would result in decreased cardiac risk. The researcher should run a hypothesis test based on a comparison of means for?
asked 2021-02-25

Iron is very important for babies' growth. A common belief is that breastfeeding will help the baby to get more iron than formula feeding. To justify the belief, a study followed 2 groups of babies from born to 6 months. With one group babies are breast fed, and the other group are formula fed without iron supplements. Data below shows iron levels of those two groups of babies.

GroupSample sizemeanStandard deviationBreastfed2313.31.7Formulafed2312.41.8DIFF=BreastFormula230.91.4

(1) There are two groups we need to compare for the study: Breast-Fed and Formula- Fed. Are those two groups dependent or independent? Based on your answer, what inference procedure should we apply for this research?

(2) Please perform the inference you decided in (1), and make sure to follow the 5-step procedure for any hypothesis test.

(3) Based on your conclusion in (2), what kind of error could you make? Explain the type of error using the context words for this research

asked 2021-10-27
At a research facility that designs rocket engines, researchers know that some engines fail to ignite as a result of fuel system error. From a random sample of 40 engines of one design, 14 failed to ignite as a result of fuel system error. From a random sample of 30 engines of a second design, 9 failed to ignite as a result of fuel system error. The researchers want to estimate the difference in the proportion of engine failures for the two designs. Which of the following is the most appropriate method to create the estimate?
A one-sample z-interval for a sample proportion A
A one-sample z-interval for a population proportion B
A two-sample z-interval for a population proportion C
A two-sample z-interval for a difference in sample proportions D
A two-sample z-interval for a difference in population proportions
asked 2021-10-12
A teacher sees students straggling into her class at highly diverse times. She secretly records when each person comes into her class. Everyone in the class at the bell gets a score of zero. Then, as each late person comes in, the number of seconds after the bell that the person arrives is recorded. Number of seconds late, then, is each person's individual score. The scores ranged from 0 to 600 (for people who were 10 minutes late). The teacher also has each person's exam average over the semester. She wants some estimate of the degree of relationship between a person's lateness and his or her exam scores in her class. Which statistic should she use?
a. Z-test
b. One Sample t-test
c. Independent groups t-test
d. Dependent groups t-test
e. One Factor ANOVA
f. Two factor ANOVA
g. t-test for r>0
h. Chi-square test
i. Phi Coefficient
j. Cramer’s Phi
k.Point Biserial r
L. Eta-squared
m. r-squared or r
asked 2021-02-01
Give a full and correct answer what is inference concerning the ration of two populations?