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 -value?
a. 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.
b. 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.
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 least 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 of at most 0.15 is 0.34.
e. 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.

Answer:

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 least 0.15 is 0.34.

Step-by-step explanation:

The direction of the test is to the right of 0.15, because the researchers hypothesize that the proportion in region B is greater than the proportion in region A. The p-value is the probability of observing a sample difference of at least 0.15 if the null hypothesis is true.

You can use the fact that the p-value denotes the probability of the area to the right of the test statistic and symmetrically to the left(if the test is two tailed, else its just on the right tail)

The option that is the correct interpretation of the p-value is:

Option 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 least 0.15 is 0.34

A p value helps us to decide whether to accept or reject the null hypothesis. If the obtained p value is smaller than the level of significance, then we reject the null hypothesis else we accept it.

The p value shows the area to the right of the test statistic(in the right tail after the plot of test statistic on the x axis)

It shows both right and left tail symmetrically if the test is two tailed.

Since the test statistic is difference between the sample proportions and the alternate hypothesis is testing if the difference is greater than 0.15 or not. Thus, it is single tailed test.

Due to this, the p value is showing if the test statistic is 0.15 or to the right which is higher that 0.15 thus, p value is showing the probability that the test statistic is at least 0.15 is given by 0.34

Thus,

Option 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 least 0.15 is 0.34.

Learn more about p value here:

https://brainly.com/question/16313918

Sienna has graphed the equation y - 3x = -2
on the coordinate plane below. Next, she will graph the
equation y = 3x 2 on the same coordinate plane.
Determine whet
y
A
Select True or Fals
6
The system of ed
4
2
The system of ec

A car travels 195 miles from his starting point in three hours if the car continues at the same average pay for another five hours how far away I have trouble from the starting point

does 2m, 2m, 4m make a triangle?

300.9 divided by 59,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

A local pizza shop sells pizza by the slice at a price of $1.25 per each slice. The table below represents how much it would cost for different amounts of slices. What is the SLOPE of this table?

Slices (x) Total Cost (y)
0 slices $0
1 slice $1.25
2 slices $2.50
4 Slices $5
6 slices $7.50
8 slices $10

The radius of circle L is 22cm what is the lenght of its diameter ?
A. 88cm
B. 44 cm
C. 22cm
D. 11cm

PLEASE ANSWER OFFERING BRAINLEST

Triangle MNQ is similar to triangle MLP. Determine the length of LP.

a. 2 inches
b. 9 inches
c. 12 inches
d. 16 inches

5 = g/8 g = what is the g

i need help !! huryyrurusjs

Can you please help me thanks

Create a word problem that can be represented by the following system of equations.
X + y = 50
2x + 4y = 120

Add or subtract. Express in simplest form. 6 over 7 +(-5 over 14)

:Name:
Date:
Multiplication
Find the product.
45 X 24 =

Diego makes 6 anklets. Each anklets uses 9 inches of string. How many inches of string does Diego us?

5 kilometers in numbers

if you divide a positive by positive, do you get a negative or another positive?

Answer this question

Identify the property: 6m + 2p = 2p + 6m

A: Assocciative
B: Communitave
C: Distributive
D: Identity

Simplify.


−y − 7x + 6y


The simplified expression is

which formula would be utilized to find the area of the base (B) for this figure​

how long of a chain Can Jill make by attaching a 13 3/4 inch chain to a 15 2/4 in chain?​

87
Solve for x.
x = 64
O A
-4,4
OB.
-8,8
OC.
-32, 32
D.
-64, 64
HELP AGAIN

Add the expression (1/5t+1/3s)and (-3+1/5s+1/2t)

Help plz I will give you BRAINLYST I don't know if I spelled that right lol but plz and I will give you a follow!?!?!?!?


The value of 34 + 5 ⋅ 5 = ___.

Solve the system:
X + 2y=28
Y= 3x

Which decimal number best describes the fraction fraction 79 over 6

graph 4x minus 2y equals 10

What is the solution to the system of equations graphed below?
y = 3x + 2
5
y = -2x - 3

Coterminal angle between 0 degrees and 360 degrees if coterminal angle is -450

If x = 4, what is the value of 10x + 147

A bus travels 20 km in 30 minutes. What is the average speed of the
bus in km/hr?