A water tank initially contained 122 liters of water. It is then filled with more water, at
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Answer:
P-value for this hypothesis test is 0.00175.
Step-by-step explanation:
We are given that the alumni association conducted a survey to see if alumni were in favor of firing the coach.
A simple random sample of 100 alumni from the population of all living alumni was taken. Sixty-four of the alumni in the sample were in favor of firing the coach.
<u><em>Let p = proportion of all living alumni who favored firing the coach</em></u>
SO, Null Hypothesis, : p = 0.50 {means that the majority of alumni are not in favor of firing the coach}
Alternate Hypothesis, : p > 0.50 {means that the majority of alumni are in favor of firing the coach}
The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;
T.S. = ~ N(0,1)
where, = sample proportion of the alumni in the sample who were in favor of firing the coach =
= 0.64
n = sample of alumni = 100
So, <em><u>test statistics</u></em> =
= 2.92
<u>Now, P-value of the hypothesis test is given by ;</u>
P-value = P(Z > 2.92) = 1 - P(Z 2.92)
= 1 - 0.99825 = 0.00175
Therefore, the P-value for this hypothesis test is 0.00175.
<u>Answer:</u>
The probability of rolling an even number first and an odd number second is
<u>Solution: </u>
As two cubes are 6 sided, the total number of possibilities are
Now in those possibilities the first number will be even and the second number will be odd. If we check the table, such pairs are,
(2,1), (2,3), (2,5), (4,1), (4,3), (4,5), (6,1), (6,3), (6,5)
So, we can see we have total 9 set with the combination of first number even and second number odd. So, the probability of rolling with this combination will be