Please help asap 20 pts
1 answer:
The discriminant explains how many solutions the quadratic function has. It is found using this formula:
Using the formula, there are three rules. Let's say the discriminant=d:
d<0 - No solution ø
d=0 -ONLY 1 solution
d>0 -2 solutions
In the following graph, there are no solutions as the graph does not hit the x-axis at any point. Thereafter, the discriminant MUST be less than zero. Let's view the options check which one agrees with our answer.
A - Discriminant is greater than 0, which means two solutions. This is WRONG.
B - Discriminant is less than 0, which means no solutions. CORRECT!
C- Discriminant is equal to 0, which means one solution. WRONG!
Your answer is B.
Using the formula, there are three rules. Let's say the discriminant=d:
d<0 - No solution ø
d=0 -ONLY 1 solution
d>0 -2 solutions
In the following graph, there are no solutions as the graph does not hit the x-axis at any point. Thereafter, the discriminant MUST be less than zero. Let's view the options check which one agrees with our answer.
A - Discriminant is greater than 0, which means two solutions. This is WRONG.
B - Discriminant is less than 0, which means no solutions. CORRECT!
C- Discriminant is equal to 0, which means one solution. WRONG!
Your answer is B.
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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