A social scientist believed that less than 30 percent of adults in the United States watch 15 or fewer hours of television per week. To test the belief, the scientist randomly selected 1,250 adults in the United States. The sample proportion of adults who watch 15 or fewer hours of television per week was 0.28, and the resulting hypothesis test had a p-value of 0.061. The computation of the p- value assumes which of the following is true? (A) The population proportion of adults who watch 15 or fewer hours of television per week is 0.28. Submit
(B) The population proportion of adults who watch 15 or fewer hours of television per week is 0.30.
(C) The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30.
(D) The population mean number of hours adults spend watching television per week is 15.
(E) The population mean number of hours adults spend watching television per week is less than 15.
Answers
The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30.
Given that,
A social scientist believed that less than 30 percent of adults in the United States watch 15 or fewer hours of television per week.
The scientist randomly selected 1,250 adults in the United States. The sample proportion of adults who watch 15 or fewer hours of television per week was 0.28,
And the resulting hypothesis test had a p-value of 0.061.
We have to determine,
The computation of the p- value assumes which of the following is true.
According to the question,
Let, The proportion of adults watching televisionless than or equal to 15% be = x
Null Hypothesis [H0] : x = 30% = 0.30
Alternate Hypothesis [H1] : x < 30% , or x < 0.30
P value is calculated at z value :
Where p' = 0.28, = 0.30,
= 0.70 ;
Then,
Assuming 10% level of significance, p = 0.10
Therefore, p value 0.061 < 0.10, reject H0 & accept H1. This implies that we conclude that 'x i.e. proportion of adults watching television less than or equal to 15% < 30% or 0.30'
Hence, The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30.
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Answer:
(C) The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30
Step-by-step explanation:
Let the proportion of adults watching television less than or equal to 15% be = x
- Null Hypothesis [H0] : x = 30% = 0.30
- Alternate Hypothesis [H1] : x < 30% , or x < 0.30
P value is calculated at z value : p' - [ √ { p0 (1- p0) } / n ] ;
where p' = 0.28, p0 = 0.30, p1 = 0.70 ; ∴ p ( z < -1.543) = 0.061
Assuming 10% level of significance, p = 0.10
As p value 0.061 < 0.10, we reject H0 & accept H1. This implies that we conclude that 'x ie proportion of adults watching television less than or equal to 15% < 30% or 0.30'
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Answers
Answer:
True
Step-by-step explanation:
A number and its reciprocal have the same sign.
The cosecant is the reciprocal of the sine.
Therefore, the cosecant has the same sign as the sine.
Final answer:
The signs of the cosecant function will change in each quadrant, making the statement false.
Explanation:
The statement is false. The cosecant function, csc(x), is defined as the reciprocal of the sine function, so csc(x) = 1/sin(x). Since the sine function changes sign between the different quadrants, the cosecant function will also change sign in each quadrant. In the 1st and 3rd quadrants, both the sine and cosecant functions have positive values. In the 2nd and 4th quadrants, both functions have negative values.
Learn more about Cosecant function here:
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A. 16.5 square cm
B. 19 square cm
C. 35 square cm
D. 40 square cm
HELP ME PLS ASAP PLS PLZ PLZ
Answers
Answer:
C) 35 square cm
Step-by-step explanation:
(6+8)/2=7
7x5=35
Answers
Answer:
it is an integer! yes ik u know that but most teachers want it to be in the smallest group u can put it in but other than that it is a real number and it is rational! A whole number is a number that is a counting number like 0,1,2,3 a natural number is a whole number without 0 like 1,2,3 a irrational number is a number that is a repeating decimal which this number isn't
If this is correct please mark me as the brainiest
Step-by-step explanation:
5
4
10
Answers
B. 1 hr. 40 min.
C. 10 hr. 20 min.
D. 11 hr.
Answers
Answers
Answer:
g(-1 )=-1 and g(2)+g(1)=7
Step-by-step explanation:
If g(x) = x^3+x^2-x-2 find g(-1)
if we find g(-1)
we substitute all the x's in the function with -1
-1^3+-1^2-(-1)-2
-1^3 = -1
-1^2 = 1
-1+1+1-2
(two minuses make a plus)
-1+1 = 0
0+1 = 1
1-2 = -1
if x=-1, g(-1) is -1
g(2)+g(1)
substitute the x's in the function with 2 and 1 and add your results
2^3+2^2-2-2
2^3 = 8, 2^2 = 4
8+4-2-2
8+4= 12, 12-2 = 10, 10-2 = 8
g(2)=8
g(1) now
1^3 + 1^2-1-2
1^3=1, 1^2 = 1
1+1-1-2
1+1 = 2, 2-1 = 1, 1-2 = -1
g(3) = -1
g(2) (which equals 8) + g(3) (which equals -1) =
8+(-1) = 7
g(2)+g(3)=7