Is the volume of water increasing or decreasing here? What is its rate of increase or decrease in liters per hour? Coordinate pl
1 answer:
Answer: The volume is decreasing here .
The rate of change = -0.25
Step-by-step explanation:
Given: In a graph , coordinate plane with x-axis labeled Number of Hours and y-axis labeled Volume in Liters.
The graph of a line contains the points: (1, 2) and (3, 1.5)
From the points, change in volume = change in y
⇒ Change in volume =
Change in time = change in x
⇒ Change in hours=
The rate of change for a graph is given by:-
Since, the rate of change is negative , therefore, the volume of water decreases.
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Answer:
Null and alternative hypothesis
Test statistic
P-value
The null hypothesis is rejected.
It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.
Step-by-step explanation:
We have to perform a hypothesis test of a proportion.
The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:
The signifiance level is 0.01.
The sample has a proportion p=0.1 and sample size of n=6000.
The standard deviation of the proportion, needed to calculate the test statistic, is:
The test statistic is calculated as:
As this is a one-tailed test, the P-value is P(z<-26.82)=0. The P-value is smaller than the significance level (0.01), so the effect is significant.
Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.