If the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.
In this question,
A p-value is a probability, calculated after running a statistical test on data and it lies between 0 and 1. The p-value only tells you how likely the data you have observed is occurred under the null hypothesis.
One of the most commonly used p-value is 0.05. If the value is greater than 0.05, the null hypothesis is considered to be true. If the calculated p-value turns out to be less than 0.05, the null hypothesis is considered to be false, or nullified (hence the name null hypothesis).
A small p-value (< 0.05 in general) means that the observed results are unusual, assuming that they were due to chance only. Now, the smaller the p-value, the stronger the evidence that should reject the null hypothesis.
Hence we can conclude that if the p-value is smaller than the level of significance, then it indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null hypothesis is correct.
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We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with 
, 
, 
, and 
respectively since each one is 1 point more than the last.
Add all of these values up and set it all equal to 
.
Now, simplify.
Subtract 
on both sides.
Divide both sides by 
.
Since Louise's score is , the answer is 
.
<h3>Double-checking</h3>
To verify our answer, add the point totals , 
, 
, and 
.
This equals , so we can be sure the answer is correct.
Answer:
170
Step-by-step explanation:
<em>How the sales tax de-calculator works
</em>
<em>Step 1: take the total price and divide it by one plus the tax rate.
</em>
<em>Step 2: multiply the result from step one by the tax rate to get the dollars of tax.
</em>
<em>Step 3: subtract the dollars of tax from step 2 from the total price.
</em>
<em>Pre-Tax Price = TP – [(TP / (1 + r) x r]
</em>
<em>TP = Total Price.</em>
Answer:
280 ft squared
Step-by-step explanation:
To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.
The total area is that of a rectangle: 30 * 15 = 450 ft squared.
Now, the shaded region is made up of a rectangle and a triangle.
- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.
- The triangle has base 12 and height 15, so using the area of a triangle formula: 
(where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.
- The total shaded region is: 80 + 90 = 170 ft squared
Subtract 110 from 450: 450 - 170 = 280 ft squared.
Thus, the answer is 280 ft squared.
Hope this helps!
