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 :

#15. square

step-by-step explanation:

because quadrilatural (idk how to spell it) means somthing that is not 3d or like, equal sides (or somthing like that   you know what i meanz)

hope this halps!

bai!

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this