A dictator is concerned about his "negatives, " that is, the percentage of the country's residents who express disapproval of his job performance. His political committee pays for a series of TV ads, hoping that they can keep the negatives below 70%. They will use follow up polling assess the ads' effectiveness. Write the null and alternative hypotheses you would use to test the situation below. Write the null and alternative hypotheses.

Null hypothesis: H0: The dictator's negative are equal to 70%.

Alternative hypothesis: Ha: The dictator's negative are less than 70%.

Step-by-step explanation:

The null hypothesis always contains equality sign and alternative hypothesis usually contains claim made by researcher. Here, in the given scenario, the political committee of a dictator wants to keep negatives below to 70%. So, the null hypothesis will be that the negative are equal to 70% while alternative hypothesis will be that the negative are less than 70%.

Thus, the hypotheses for the given scenario are

Null hypotheses: H0: The dictator's negative are equal to 70%.

Alternative hypotheses: Ha: The dictator's negative are less than 70%.

b) 36

step-by-step explanation:

18 times 2 is 36

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: