An army of orcs has marched upon King Amit's stronghold, setting up camp a safe distance away (or so they think!). What the orcs
don’t know is that the king and his engineers have spent the past decade developing advanced catapulting technology. King Amit has created a map to help him compute the distance from each of his two best catapults to the enemy orc camp (shown below). To what distance should King Amit calibrate catapult B to fire?
2 answers:
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Its given that
We need to find t when d = 74
Therefore, or
t(16t + 37) - 2(16t + 37) = 0
(t - 2)(16t + 37) = 0
t - 2 = 0 or 16t + 37 = 0
t couldn't be negative.
Therefore, t = 2
Hence, it will take 2 seconds for the object to travel 74 feet.
Answer:
Null hypothesis:
Alternative hypothesis:
So the p value obtained was a very low value and using the significance level assumed 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 applicants who request financial aid is significantly higher than 0.35
Step-by-step explanation:
Data given and notation
n=150 represent the random sample taken
X=67 represent the applicants who request financial aid
estimated proportion of applicants who request financial aid
is the value that we want to test
represent the significance level
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 the true proportion of applicants who request financial aid is higher than 0.35.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, 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 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 assumed 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 applicants who request financial aid is significantly higher than 0.35