Adry-cleaning establishment claims that a new spot remover will remove more than 70% of the spots to which it is applied. to check this claim, the spot remover will be used on 12 spots chosen at random. if fewer than 11 of the spots are removed, we shall not reject the null hypothesis that p = 0.7. use is information to answer the following 3 problems

a. what is the alternative hypothesis?

b. is this a two sided or one-sided hypothesis test?

after this study, the dry-cleaning establishment finds that the new spot remover removes on average of 10.5 spots out of the 12 spots. a subsequent scientific study determines that this new spot remover removes 70% of the spots to which it is applied. did the cleaning establishment make any error?

a. yes, type ii error

b. no error

c. yes, type i error

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!