Astreaming music site changed its format to focus on previously unreleased music from rising artists. the site manager now wants to determine whether the number of unique listeners per day has changed. before the change in format, the site averaged 131,520 unique listeners per day. now, beginning three months after the format change, the site manager takes a random sample of 30 days and finds that the site has an average of 124,247 unique listeners per day. the manager finds that the p-value for the hypothesis test is approximately 0.0743. how would you interpret the p-value?

Step-by-step explanation:

Given that a streaming music site changed its format to focus on previously unreleased music from rising artists. The site manager now wants to determine whether the number of unique listeners per day has changed.

Hypothesis is created as

(Two tailed test for difference of means)

Test statistic is found out and p value = 0.0743

Suppose we use significance level of 5% we find that p value =0.0743>0.05

Hence we accept null hypothesis.

i.e. there is no significant change in the average number of unique listeners per day

p value is an indicator of how extreme the data is.  If p is less than alpha, we reject H0 otherwise accept.

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1