Answer: a. 0.1031; fail to reject the null hypothesis
Step-by-step explanation:
Given: Significance level : 
The test statistic in a two-tailed test is z = -1.63.
The P-value for two-tailed test :
[By p-value table]
Since, 0.1031 > 0.05
i.e. p-value > 
So, we fail to reject the null hypothesis. [When p<
then we reject null hypothesis ]
So, the correct option is a. 0.1031; fail to reject the null hypothesis.
Answer:
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
Step-by-step explanation:
Let X the random variable that represent the number of admisions at the universit, and we have this probability distribution given:
X 1060 1400 1620
P(X) 0.5 0.1 0.4
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
The correct answer is 7/9
Total number of students surveyed = 200
Number of male students = 80
Number of female students = 200 - 80 = 120
Number of brown eyed male students = 60
Probability of a brown eyed male student = 60 / 80 = 0.75.
Since, <span>eye color and gender are independent, this means that eye color is not affected by the gender. Thus, we expect a similar probability of brown eye for female as we had for male.
Let the number expected of brown eyed females be x, then x / 120 = 0.75.
Thus, x = 120(0.75) = 90.
Therefore, the number female students surveyed expected to be brown eyed is 90.</span>
Answer:
c
Step-by-step explanation: