What is the distance between the points (−3, 5) and (−3, −6) ?
1 answer:
You might be interested in
Answer:
So the p value obtained was a very high value and using the significance level given we have
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65
Step-by-step explanation:
Data given and notation
n=180 represent the random sample taken
X=115 represent the adults with the medication was effective
estimated proportion of adults with the medication was effective
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)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that true proportion is less than 0.65.:
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
.
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 left tailed test the p value would be:
So the p value obtained was a very high value and using the significance level given we have
so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of adults with the medication was effective is not significantly less than 0.65
Check the procedures in the picture attached.
1. Since we are using direct substitution, the only thing we need to do is replace
by 
(the quantity is approaching to) in our quantity to get:
We can conclude that the correct answer is B) -6
2. Again, since we are using direct substitution, th only thing we need to do is replace by 
(the quantity x is approaching to) to get:
We can conclude that the correct answer is D) 31
3. Direct substitution again, so we are going to replace in our quantity by 
to get:
And since cosine of is 0, and any quantity multiplied by zero is zero:
We can conclude that the correct answer is A) 0
4. Here we need to so some algebra first. Notice that if we use direct substitution, the denominator will be zero, and we cannot divide by zero. So lets massage our quantity first:
Now, we can use direct substitution to get:
We can conclude that the correct answer is B) 4
1. Since we are using direct substitution, the only thing we need to do is replace
We can conclude that the correct answer is B) -6
2. Again, since we are using direct substitution, th only thing we need to do is replace
We can conclude that the correct answer is D) 31
3. Direct substitution again, so we are going to replace
And since cosine of
We can conclude that the correct answer is A) 0
4. Here we need to so some algebra first. Notice that if we use direct substitution, the denominator will be zero, and we cannot divide by zero. So lets massage our quantity first:
Now, we can use direct substitution to get:
We can conclude that the correct answer is B) 4