Answer:
The discriminant is 40
Step-by-step explanation:
First, rewrite the equation as so that the equation is in the form of
. Thus, the discriminant is
. This tells us that since the discriminant is greater than 0, then there are 2 real solutions.
Answer:
Step-by-step explanation:
5^2 + 5^2 = x^2
25 + 25 = x^2
50 = x^2
= x, 5
x = approximately 7.07
Answer:
a) The proportions are not form matched-pairs data.
b) The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that there is evidence of a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.
Step-by-step explanation:
a) Two data sets are "paired" when the following one-to-one relationship exists between values in the two data sets:
None of this conditions apply in this case, so the proportions are not form matched-pairs data.
b) This is a hypothesis test for the difference between proportions.
The claim is that there is evidence to suggest that there is a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.
Then, the null and alternative hypothesis are:
The significance level is 0.05.
The sample 1 (Avindia treatment), of size n1=1456 has a proportion of p1=0.0185.
The sample 2 (other treatment), of size n2=2895 has a proportion of p2=0.0142.
The difference between proportions is (p1-p2)=0.0044.
The pooled proportion, needed to calculate the standard error, is:
The estimated standard error of the difference between means is computed using the formula:
Then, we can calculate the z-statistic as:
This test is a right-tailed test, so the P-value for this test is calculated as (using a z-table):
As the P-value (0.1358) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that there is evidence to suggest that there is a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.