Question

Market researchers selected a random sample of people from region A and a random sample of...

Market researchers selected a random sample of people from region A and a random sample of people from region B. The researchers asked the people in the samples whether they had tried a new product. The difference between the sample proportions (B minus A) of people in the regions who indicated they had tried the new product was 0.15. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being that the population proportion of B is greater than that of A. The p
-value of the test was 0.34.

Which of the following is the correct interpretation of the p
p
-value?

If the difference in proportions of people who have tried the new product between the two populations is actually 0.15, the probability of observing that difference is 0.34.
A

If the difference in proportions of people who have tried the new product between the two populations is actually 0.34, the probability of observing that difference is 0.15.
B

If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
C

If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at most 0.15 is 0.34.
D

If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference equal to 0.15 is 0.34.

Homework Answers

Answer #1

Answer: If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.

>> Null hypothesis, H0: The population proportion of B is equal to A

Alternative hypothesis, H1: The population proportion of B is greater than that of A

The P value, or calculated probability, is the probability of finding the observed, or more extreme, results when the null hypothesis is true.

So, if the population proportion of B is equal to A (null hypothesis is true), the probability of observing a difference of at least 0.15 is 0.34.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a sample of 1392 mosquitoes trapped in a region, 1173 tested positive for a certain...
In a sample of 1392 mosquitoes trapped in a region, 1173 tested positive for a certain disease. In a sample of 1457 mosquitoes trapped in a different region, 1196 tested positive for the disease. Compute the test statistic for a hypothesis test to compare the population proportions of mosquitoes in the regions that tested positive for the disease. Assume that the conditions for a hypothesis test for the difference between the population proportions are met. Round your answer to two...
5. Two researchers are testing the null hypothesis that a population proportion p is equal to...
5. Two researchers are testing the null hypothesis that a population proportion p is equal to 0.30, and the alternative hypothesis that π = 0.30. Both take samples of 100 observations. Researcher A finds a sample proportion of 0.29, and Researcher B finds a sample proportion of 0.34. For which researcher will the p-value of the test be smaller? a: Explain without actually doing any computations.
Consider the following results for independent samples taken from two populations. sample 1 sample 2 n1=500...
Consider the following results for independent samples taken from two populations. sample 1 sample 2 n1=500 n2=200 p1= 0.42 p2= 0.34 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a confidence interval for the difference between the two population proportions (to 4 decimals). (______to _______) c. Develop a confidence interval for the difference between the two population proportions (to 4 decimals). (______to________)
A group of researchers from a medical firm are trying to understand the proportion of American...
A group of researchers from a medical firm are trying to understand the proportion of American adults who are allergic to a medication. In a random sample of 110 adults, 15 people say they have such an allergy. For the following hypotheses, what would be your conclusion based on the information provided? The level of significance (alpha level) is 0.05. (Hint: Use 1.96 and -1.96 as the critical z-values) Ho: P = 0.15 (Null) Ha: P ≠ 0.15 (Alternative) Group...
1) Researchers wanted to see if people who exercise regularly sleep better than people who don't....
1) Researchers wanted to see if people who exercise regularly sleep better than people who don't. They took a random sample of adult males and surveyed them about their exercise routine and their sleep duration. Is there a statistically significant difference of quality of sleep between those who exercise and those who don’t? Summarized data are seen below. Conduct a hypothesis test and construct a 95% confidence interval for the population difference. Sample Mean Exercise 7.2 hrs; Sample Mean No...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1...
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 500 n2= 200 p1= 0.45 p2= 0.34 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table....
A random sample of 258 cell phone users ages 20 to 39 were asked if they...
A random sample of 258 cell phone users ages 20 to 39 were asked if they use their cell phones to stay connected while they are in bed. The same question was asked of each person in a sample of 129 cell phone users ages 40 to 49. The survey found that 168 of the 258 people in the sample between the ages of 20 to 39 years old and 61 of the 129 people in the sample between the...
researchers plan to estimate the proportion of people in a large community who don't wear a...
researchers plan to estimate the proportion of people in a large community who don't wear a seatbelt while driving although it is unknown by the researcher, the true proportion is p=.20 a) suppose the researchers plan to estimate p from a random sample of n=200 drivers. find the mean and standard deviation of the sampling distribution of the sample proportion. b) use the empirical rule to fill in the blanks in the following sentence: in about 95% of all random...
In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample...
In a random sample of 500 people aged 20-24, 22% were smokers. In a random sample of 450 people aged 25-29, 14% were smokers. Construct a 95% confidence interval for the difference between the proportions of 20-24 year olds and 25-29 year olds who are smokers. Also, find the margin of error. What is the Parameter of interest? What is the underlying Distribution?
Researchers from the Pew Forum on Religon and Public Life interviewed two random samples of people....
Researchers from the Pew Forum on Religon and Public Life interviewed two random samples of people. Both Samples had 1500 people. In 2002, 645 people expressed support for stem cell research. In 2009, 725 people expressed support. If group 1 is the 2002 sample and group 2 is the 2009 sample, run a hypothesis test at the 0.01 level of significance to determine if the proportion of people that support stem cell research has increased since 2002.