If you put them into to proportion
156/400 and then put a variable for the unknown x/1200
1200 divided by 400 = 3
156 times 3 = 468
468 order salad out of 1200
The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.
<h3 /><h3>What is a type II error?</h3>
A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.
It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.
<h3>How the type II error is related to the significance level?</h3>
The relation between type II error and the significance level(α):
- The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.
- The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.
- Thus, if the significance level increases, the type II error decreases and vice-versa.
From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.
Learn more about type II error of a hypothesis test here:
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Answer:
x = 9.818
x≈10
The number of banners that can be made are 10
Step-by-step explanation:
We can use the knowledge of proportion to solve this.
First we need to convert yard to feet.
1 yard = 3 foot
4 1/2 yard = y
cross-multiply
y = 4 1/2 × 3
=9/2 × 3
y = 
feet
This implies 4 1/2 yards = feet
Let x be the numbers of banners needed to make from 4 1/2 yards of fabric.
1 3/8 feet = 1 banner
feets = x
cross multiply
1 3/8 × x =
=
cross-multiply
22x = 216
Divide both-side of the equation by 22
22x/22 = 216/22
x = 9.818
x≈10
The number of banners that can be made are 10
