Forty-five percent of the entering CSUN freshmen in Fall 2019 were proficient in math. www.csun.edu/counts/new_first time_freshman.php a. You want to see if the percentage is different for this fall's entering freshmen. Ha: Your hypotheses are Ho: where stands for the percentage of freshmen who were proficient in Fall 2019/ this fall.
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.
![2. Forty-five percent of the entering CSUN freshmen in Fall 2019 were proficient in math.
www.csun.edu/counts/new_first_time_freshman.php
a. You want to see if the percentage is different for this fall's entering freshmen.
Your hypotheses are Ho:
На:
where p stands for the percentage of freshmen who were proficient in Fall 2019 / this fall.
b. Suppose that the null hypothesis is true
that the percentage is 45% for this fall.
Here is the sampling distribution of the
values of p that would be expected if
you repeatedly took random samples
of 150 freshman entering this fall and
found the proportion proficient in
math. From the sketch alone, estimate
the mean
and the SE
0.33
0.37
0.41
0.45
0.49
0.53
0.57
If the null hypothesis is true, would it be unusual to get 50% in your sample who were
proficient in mathematics?
Explain:
If the null hypothesis is true, would it be unusual to get 45 freshmen in your sample who
were proficient in mathematics?
Explain:
c. You take a random sample of 150 freshman entering this fall. In your sample, 82 were
proficient in mathematics. Compute p, locate it on the sampling distribution, and shade in
the (two-sided) area that represents getting a proportion as extreme is yours or more
extreme if 45% of this fall's freshmen are proficient in math.
d. Circle the right words in this conclusion:
The result from your sample IS / IS NOT consistent with a population percentage of 45%.
You DO / DON'T have statistically significant evidence that the percentage for this fall is
different from 45%.
If you could ask all of this fall's entering freshman, it IS / IS NOT plausible that the
percentage who were proficient in math is 45%.
8.
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