Consider the function shown on the graph.

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.

Learn more about p-value here

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1 year ago

Carol, Ann, and Liz each bought a toy fish. Carol's fish is 5 inches longer than Ann's fish. Liz's fish is 9 inches longer than

hram777 [196]

Answer:

The length of Ann's toy fish is 12 inches; the length of Carol's toy fish is 17 inches; and the length of Liz's toy fish is 33 inches.

Step-by-step explanation:

Let's say Carol's fish is c inches long, Ann's is a inches long, and Liz's is l inches long. Then:

c = 5 + a

l = 9 + 2a

a = 12

Plug 12 in for a to find c and l:

c = 5 + a = 5 + 12 = 17 inches

l = 9 + 2a = 9 + 2 * 12 = 9 + 24 = 33 inches

Thus:

The length of Ann's toy fish is 12 inches; the length of Carol's toy fish is 17 inches; and the length of Liz's toy fish is 33 inches.

6 0

2 years ago