Answer:
We are given that a Psychologist claims that less than 5.8 percent of the population suffers from professional problem due to extreme shyness.
We are supposed to set up the null and alternative hypotheses.
Since the claim is less than 5.8 percent, therefore, the claim will be mentioned in the alternative hypothesis. Hence the null and alternative hypotheses are given below:


Therefore, the option a. H0: p = 5.8% H1: p < 5.8% is correct
Do you have a picture where I can understand it much better?
Heyoo. Hope this helps you understand why is the answer is option 2. If you still don’t understand, feel free to ask for me to further explain. I used two important rules to figure it out (they are included in the picture).
Given:
Perimeter of a rectangular paper = 22 inches.
Area of the rectangular paper = 28 square inches.
To find:
The dimensions of the rectangular paper.
Solution:
Let l be the length and w be the width of the rectangular paper.
Perimeter of a rectangle is:

Perimeter of a rectangular paper is 22 inches.


...(i)
Area of a rectangle is:

Area of the rectangular paper is 28 square inches.

Using (i), we get



Splitting the middle term, we get



Using zero product property, we get


If
, then by using (i)


If
, then by using (i)


Therefore, the dimensions of the paper are either
or
.
First, multiply by 4 on both sides to eliminate the denominator, and you get...
6x-28 =x-8
Subtract x on both sides and add 28...
5x=20
Divide to isolate the variable...
x=4
Hope this helps