An online magic 8 ball has 20 response options, 5 of which are neutral. an instructor claims that the responses are all equally likely to occur and that the proportion of neutral responses is .25. a student is skeptical of this claim, believing that neutral responses are less likely. the student queries the magic 8 ball 50 times and gets 9 neutral responses. is there convincing evidence that less than 25% of responses are neutral? what are the appropriate hypotheses for this test?

Step-by-step explanation:

We know that the null hypothesis is the statement which show that there is no statistical difference between two groups tested.

The alternative hypothesis is the statement which is exactly opposite to the null hypothesis . i.e. it shows that there is statistical difference.

According to the given question, we have

Null hypothesis :

Alternative hypothesis :

Hence, the appropriate hypotheses for this test :

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: