Using the equation of the test statistic, it is found that with an increased sample size, the test statistic would decrease and the p-value would increase.
<h3>How to find the p-value of a test?</h3>
It depends on the test statistic z, as follows.
- For a left-tailed test, it is the area under the normal curve to the left of z, which is the <u>p-value of z</u>.
- For a right-tailed test, it is the area under the normal curve to the right of z, which is <u>1 subtracted by the p-value of z</u>.
- For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is <u>2 multiplied by 1 subtracted by the p-value of z</u>.
In all cases, a higher test statistic leads to a lower p-value, and vice-versa.
<h3>What is the equation for the test statistic?</h3>
The equation is given by:
The parameters are:
- is the sample mean.
- is the tested value.
- s is the standard deviation.
From this, it is taken that if the sample size was increased with all other parameters remaining the same, the test statistic would decrease, and the p-value would increase.
You can learn more about p-values at brainly.com/question/26454209
The Area of the shaded region = (Area of the largest circle) – (Area of the circle with radius 3) – (Area of the circle with radius 2). Whatever is left over is the shaded region. The diameter of the largest circle is 10, so its radius is 5 and thus its area is 25π.
For the number 4n to end with digit zero for any natural number n, it should be divisible by 5. This means that the prime factorisation of 4n should contain the prime number 5
87-10= 77 F
the temperature dropped to 77 Fthat night
Answer:
The error is in step 3. You cannot use a property of logarithms to prove that same property.
Step-by-step explanation:
Here we the proof of the quotient rule as
If Logₐx = M and Logₐy = N
Then x = and y =
x ÷ y = ÷ =
Take log of both sides we get
Logₐ(x÷y) = Logₐ
Logₐ(x÷y) =M-N logₐa
Logₐ(x÷y) =M-N
∴Logₐ(x÷y) = Logₐx - Logₐy