An SRS of 45 male employees at a large company found that 36 felt that the company was supportive of female employees. An independent SRS of 40 female employees found that 24 felt that the company was supportive of female employees. Let pi = the proportion of all male employees at the company who hold this opinion and p2 = the proportion of all female employees at the company who hold this opinion. We want to test the hypotheses H. :P. - P2=0, H,:. - P2 >0. The P-value for this test is 0.0217. Which of the following is the correct conclusion using a=0.01? (a) Reject Ho. We have convincing evidence that the proportion of male employees who feel that the company is supportive of female employees is higher than the proportion of women who feel this way. (b) Reject H. We do not have convincing evidence that the proportion of male employees who feel that the company is supportive of female employees is higher than the proportion of women who feel this way. (c) Accept Ho. We do not have convincing evidence that the proportion of male employees who feel that the company is supportive of female employees is higher than the proportion of women who feel this way. (d) Accept Ha. We do not have convincing evidence that the proportion of male employees who feel that the company is supportive of female employees is higher than the proportion of women who feel this way. () Fail to reject Ho. We do not have convincing evidence that the proportion of male employees who feel that the company is supportive of female employees is higher than the proportion of women who feel this way.
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
9. An SRS of 45 male employees at a large company found that 36 felt that the company was supportive of
female employees. An independent SRS of 40 female employees found that 24 felt that the company was
supportive of female employees. Let pi = the proportion of all male employees at the company who hold
this opinion and p2 = the proportion of all female employees at the company who hold this opinion. We
want to test the hypotheses H. :P. - P2=0, H,:. - P2 >0. The P-value for this test is 0.0217. Which of the
following is the correct conclusion using a=0.01?
(a) Reject Ho. We have convincing evidence that the proportion of male employees who feel that the
company is supportive of female employees is higher than the proportion of women who feel this way.
(b) Reject H. We do not have convincing evidence that the proportion of male employees who feel that the
company is supportive of female employees is higher than the proportion of women who feel this way.
(c) Accept Ho. We do not have convincing evidence that the proportion of male employees who feel that the
company is supportive of female employees is higher than the proportion of women who feel this way.
(d) Accept Ha. We do not have convincing evidence that the proportion of male employees who feel that the
company is supportive of female employees is higher than the proportion of women who feel this way.
() Fail to reject Ho. We do not have convincing evidence that the proportion of male employees who feel
that the company is supportive of female employees is higher than the proportion of women who feel
this way.
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