A city employee collected survey data from 2330 randomly selected residents. A total of 865 of these residents said that they th
ought the city should devote more city funds to repair roads.
To the nearest percent, what is a good estimate of the percentage of all residents who thought this?
To the nearest percent, what is a good estimate of the percentage of all residents who thought this?
1 answer:
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Answer:
-7/6
Step-by-step explanation:
I have plotted 8,10 and 2,17 on a grid and connected them with a line to help visualize the slope of the line we are trying to find.
The answer can also be written as a decimal as shown below, but it is neater to use the fraction.
For this case we have the following functions:
We must find f (g (x)). So:
Finally we have to:
For the function to be defined the denominator must be different from 0. That is x different from -3.
Answer:
Option B
Answer:
Step-by-step explanation:
The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).
The transformation rule for 90° counterclockwise rotation is
This implies that:
This is followed by a translation 3 units to the right.
This also has the rule:
Therefore:
Answer:
So the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that regularly watch the TV station’s news program is significantly less than 0.38 .
Step-by-step explanation:
1) Data given and notation
n=830 represent the random sample taken
X=282 represent the people that regularly watch the TV station’s news program
estimated proportion of people that regularly watch the TV station’s news program
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the proportion is less than 0.38:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
3) Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
4) Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided . The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
So the p value obtained was a very low value and using the significance level given we have
so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that regularly watch the TV station’s news program is significantly less than 0.38 .