Carlito has only nickels and dimes. If he has a total of 13 coins and the total value of the coins is $1.05, how many dimes does
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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.
Answer:
a) Median stays the same
b) Mean is decreased by $9
Step-by-step explanation:
The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,
Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.
When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,
679, 715, 799, 844, 891, 917, 938, 946, 1002
Here also median will be the 5th number which will be equal to 891.
Therefore, , median will not change.
Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.
In the initial case,
Mean =
When the salary is changed from $1027 to $946,
Mean=
Therefor we can see that Mean has decreased by $9.