Researchers at Mississippi State University were studying the impact of different environmental sounds on ecosystems. For their
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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 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)
Step-by-step explanation:
Data given and notation
n=1655 represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
Confidence=99% or 0.99
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that true proportions is higher than 0.012.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitic, 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
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
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 right 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 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)
Answer:
See below.
Step-by-step explanation:
First, we can see that .
Thus, for the question, we can just plug -1 in:
Saying undefined (or unbounded) will be correct.
However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words, will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:
This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.
By listing the samples in descending order we have - Sample B, Sample E, Sample A, Sample C, and Sample D.
Step-by-step explanation:
Step 1; First, we must convert all the temperatures into a common scale. The given temperatures are in three different units i.e. °C, K, and °F. Here we convert all the units into K.
To convert °C to K, we add 273.15 with the °C , 44 °C= 44 + 273.15 = 317.15 K.
To convert °F, we have the formula (112°F − 32) × () + 273.15, so
110 °F = (110 - 32) × () + 273.15 = 316.483 K,
112 °F = (112 - 32) × () + 273.15 = 317.594 K.
Step 2; By rewriting all the values on the same unit, we get;
Sample A = 317.15 K,
Sample B = 320 K,
Sample C = 316.483 K,
Sample D = 310 K,
Sample E = 317.594.
The descending order is as follows 320 K, 317.594K, 317.15 K, 316.483 K and 310 K which is Sample B, Sample E, Sample A, Sample C, and Sample D.