If the point (−1,3) is translated according to the rule (x,y)→(x+4,y−2), and then reflected across the x-axis, what are the coor
2 answers:
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Answer:
Step-by-step explanation:
Given that
We are given the following:
1. Boys who do play video games = 1593
2. Boys who do not play video games = 858
3. Total boys = 2451
4. Girls who do play video games = 1361
5. Boys who do not play video games = 1635
6. Total Girls = 2996
7. Total number of candidates = Total boys + Total girls
=(2451 + 2996) = 5447
8. Total number of students, who play video games = 2954
9. Total number of students, who do not play video games = 2493
Percentage of boys who play video games:
So, option A is not correct.
Percentage of girls who play video games:
so option B is correct. The percentage is near about 45%,
Percentage of Total number of students, who do not play video games:
So, option C is not correct.
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:
- Each data set has the same number of data points.
- Each data point in one data set is related to one, and only one, data point in the other data set.
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.