1/4 because 0.25 is the same thing as 25/100. 25/100 simplified is 1/4
Answer:
The p-value of the test is 0.0207.
Step-by-step explanation:
Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).
The null hypothesis is:

The alternate hypothesis is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that 
Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level.
This means that 
Test statistic:



P-value of the test:
The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.
Looking at the z-table, z = 2.04 has a p-value of 0.9793
1 - 0.9793 = 0.0207
The p-value of the test is 0.0207.
Answer:
Correct option (B).
Step-by-step explanation:
A 95% confidence interval for a population parameter implies that there is 0.95 probability that the population parameter is contained in that interval.
Or, if 100, 95% confidence intervals are created then 95 of those intervals would contain the population parameter with probability 0.95.
In this question the 95% confidence interval was created for population proportion of all United States citizens who were optimistic about the economy.
Then this 95% confidence interval implies that if 100 such confidence intervals were created then 95 of those would consist of the true proportion of US citizens who were optimistic about the economy..
Thus, the correct option is (B).
Answer:
x=−9
Step-by-step explanation:
Let's solve your equation step-by-step.
x+5=2(7+x)
Step 1: Simplify both sides of the equation.
x+5=2(7+x)
x+5=(2)(7)+(2)(x)(Distribute)
x+5=14+2x
x+5=2x+14
Step 2: Subtract 2x from both sides.
x+5−2x=2x+14−2x
−x+5=14
Step 3: Subtract 5 from both sides.
−x+5−5=14−5
−x=9
Step 4: Divide both sides by -1.
−x
−1
=
9
−1
x=−9
Answer:
x=−9
HOPE I HELPED :)
-lvr