Which of the following are true? If false, explain briefly. ​a. A very high​ P-value is strong evidence that the null hypothesis is false. ​
b. A very low​ P-value proves that the null hypothesis is false. ​
c. A high​ P-value shows that the null hypothesis is true.
d. A​ P-value below 0.05 is always considered sufficient evidence to reject a null hypothesis.

The correct options are;

a. False

b. True

c. True

d. False

Step-by-step explanation:

We look at each of the options as follows

a. A very high p-value is strong evidence that the null hypothesis is false;

The above statement is false because the p-value indicates the likelihood of the null hypothesis being correct, therefore, a high p-value is indicative of the correctness (truth) of the null hypothesis

b. A very low p-value shows that the null hypothesis is false

The above statement is true

c. A high p-value shows that the null hypothesis is true

The above statement is true

d. A P-value below 0.05 is always considered sufficient evidence to reject a null hypothesis.

The above statement is false as the p-value below which we reject the null hypothesis is dependent on the value of the significance level, α.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

150.6

all i did was i multiplied 5.02 by 30