Answer:
C. H0 : p = 0.8 H 1 : p ≠ 0.8
The test is:_____.
c. two-tailed
The test statistic is:______p ± z (base alpha by 2) 
The p-value is:_____. 0.09887
Based on this we:_____.
B. Reject the null hypothesis.
Step-by-step explanation:
We formulate null and alternative hypotheses as proportion of people who own cats is significantly different than 80%.
H0 : p = 0.8 H 1 : p ≠ 0.8
The alternative hypothesis H1 is that the 80% of the proportion is different and null hypothesis is , it is same.
For a two tailed test for significance level = 0.2 we have critical value ± 1.28.
We have alpha equal to 0.2 for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28
The test statistic is
p ± z (base alpha by 2)
Where p = 0.8 , q = 1-p= 1-0.8= 0.2
n= 200
Putting the values
0.8 ± 1.28 
0.8 ± 0.03620
0.8362, 0.7638
As the calculated value of z lies within the critical region we reject the null hypothesis.
The statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.
<h3>How to find one solution of equation?</h3>
If the equation is given a unique and single value of variable after solving then the equation is said one solution equation. Such equation gives exactly one solution.
The three types of solution of an equation are-
- One solution-When the provides the singe value of the given variable, we get one or unique solution.
- No solution-When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.
- Infinite many solution-For the same line, the equation has the infinite many solutions.
The first equation given in the problem is,
This equation has one solution. This in not correct option.
The second equation given in the problem is,
This equation has one solution. This in correct option.
Hence, the statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.
Learn more about the solution of the equation here;
brainly.com/question/21283540
Answer:
D) 32
Step-by-step explanation:
sin∠30=16/x first calculate sin∠30
1/2=16/x next cross multiply
x=32
Have a good day :)
Answer:
Slope: 2
y-intercept: (0, -4)
x y
0 -4
2 0
Hope this helps! Can I have Brainliest please?
See attachment below:
Hey there :)
We know the formula for simple interest is
I = prt
{ The picture includes what each stands for }
Lehena:Initial amount = $100
Interest rate = 2.5% =
Time = 3 years
I = ( 100 )( 0.025 )( 3 )
= 7.5$
Total = $100 + $7.5 =
$107.5Marty:Initial amount = $100
Interest rate = 2% =
Time = 3 years
I = ( 100 )( 0.02 )( 3 )
= $6
Total = $100 + $6 =
$106How much more than Marty did Lehena receive?= Total Amount of Lehena - Total Amount of Marty
= 107.5 - 106
= $1.5Your answer will be option
B) $1.50
