When we reject the null and the null is true, we have a made a type I error
The null hypothesis in statistics states that there is no difference between groups or no relationship between variables. It is one of two mutually exclusive hypotheses about a population in a hypothesis test.
null hypothesis is denoted as H₀
Reject the null hypothesis when the p-value is less than or equal to your significance level. Your sample data favor the alternative hypothesis, which suggests that the effect exists in the population. When you can reject the null hypothesis, your results are statistically significant.
when the p-value is greater than your significance level, you fail to reject the null hypothesis.
Sometimes , we reject our null hypothesis even when its true
there we made a type I error in hypothesis
To know more about null hypothesis here
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The first number is rational, it is equal to 6*2=12.
The second number is irrational, as the square root of 3 is irrational.
The third number is rational because squaring a root is the same as doing nothing.
The last number is also rational, because it is again equal to 7*3. Hope this helps!
1 + 54 = 55
2 + 53 = 55
3 + 52 = 55
4 + 51 = 55
5 + 50 = 55
6 + 49 = 55
7 + 48 = 55
8 + 47 = 55
9 + 46 = 55
10 + 45 = 55
and so on...
I hope that helps. :)
The square units are the little tiny boxes that are inside of the square ! count all of them even tho ones that aren’t fully a square
<u>Answer:</u> The amount that patty and ales paid including taxes was $40.96.
<u>Step-by-step explanation:</u>
To calculate the cost of the shirt and sweater together, we first calculate the total cost of shirt and sweater individually.
- <u>Amount paid by Patty:</u>
Shirt of $14.50 + 9% tax
Tax paid = 
Amount of tax paid = ($14.50 × 0.09) = $1.305
Amount paid by patty = $14.50 + $1.305 = $15.805
- <u>Amount paid by Ales:</u>
Sweater of $22.95 + 9% tax
Tax paid = 
Amount of tax paid = ($22.95 × 0.09) = $2.0655
Amount paid by ales = $22.95 + $2.0655 = $25.0155
- Total amount paid by both Patty and ales = $15.805 + $25.0155 = $40.96
Hence, the amount that patty and ales paid including taxes was $40.96.