Answer:
The p-value for the test of hypothesis is P(z<-3.617)=0.0002.
Step-by-step explanation:
Hypothesis test on the difference between proportions.
The claim is that the percent of males who are underclassmen stats students (π1) is less than the percent of females who are underclassmen stats students (π2).
Then, the null and alternative hypothesis are:
The male sample has a size n1=156. The sample proportion is p1=81/156=0.52.
The female sample has a size n2=221. The sample proportion in this case is p2=221/320=0.69.
The weigthed average of proportions p, needed to calculate the standard error, is:
The standard error for the difference in proportions is:
Then, we can calculate the z-statistic as:
The P-value for this left tailed test is:
Answer:
Each item could be included in a set or not included. That gives 2^5 = 32 ways to choose sets, including 1 set with no items, 5 sets of 1 item, 10 sets of 2 items, 10 sets of 3 items, 5 sets of 4 items, and 1 set of 5 items.
Spinning 7- 1/8 chance
Spinning not 7- 7/8 chance
Spinning an even number- 4/8
Spinning a number less than 5- 4/8
Thus, the event that has the greatest likelihood is "Spinning not 7"
<u>Answer:</u>
The line parallel to y – axis is x = 4. Thus option a is correct.
<u>Solution:</u>
Given, a set of options as linear equations.
We have to choose one which is parallel to the y – axis.
We know that, slope of y – axis is undefined.
As the required line is parallel to the y – axis, its slope should also be equal to slope of y – axis.
Now, let us check one by one option.
Now, a) x = 4
= undefined
Here slope of this line is undefined. Which means it is parallel to y – axis.
So, we got our required answer.
Hence, the line parallel to y – axis is x = 4 i.e. option a is correct.
Cross multiply
5/8 and 8/10
5x8=40
8x8=64
40 does not equal 64 so not proportional
