Answer:
Weighted mean hourly charge = $168.28 (Approx)
Given:
Charge for research = $125 per hour
Charge for consultations = $80 per hour
Charge for writing a brief = $250 per hour
Research work = 12 hour
Consultations = 8 hour
Writing = 15 hour
Computation:
Total hours = 12 + 8 + 15 = 35 hours
Total charge for researching = $125 × 12 = $1,500
Total charge for consulting = $80 × 8 = $640
Total charge for writing = $250 × 15 = $3,750
Total charge = $5,890
Weighted mean hourly charge = 5890 / 35
Weighted mean hourly charge = $168.28 (Approx)
(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.
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
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'
Answer:
1,017.36ft^2
Explanation:
Area of the circular pool = \pi r^2
r is the radius of the pool
Given
r = d/2
r = 36/2
r = 18ft
Area of the circular pool = 3.14(18)^2
Area of the circular pool = 3.14 * 324
Area of the circular pool = 1,017.36ft^2
Answer:
Derek needs to add 3/4 cups of flour.
Step-by-step explanation:
If Derek has already used 1/4 cup of flour, he needs 3 more cups of flour to get to 1 full cup of flour.
Answer:
Step-by-step explanation:A batch of cookies requires 2 1/4 cup of flour and 1 egg. You have in your kitchen 8 cups of flour and a half dozen eggs. a) How many batches of cookies
Answer:
Step-by-step explanation:
Slope:
−1
y-intercept:
23