There are 24 more trucks than twice the number of cars for sale at a dealership. If there are 100 trucks for sale, how many cars
2 answers:
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Sum means add
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Answer:
The proportion of college students who work year-round is 58%.
Step-by-step explanation:
The claim made by the education researcher is that 58% of college students work year-round.
A random sample of 400 college students, 232 say they work year-round.
To test the researcher's claim use a one-proportion <em>z</em>-test.
The hypothesis can be defined as follows:
<em>H</em>₀: The proportion of college students who work year-round is 58%, i.e. <em>p</em> = 0.58.
<em>Hₐ</em>: The proportion of college students who work year-round is 58%, i.e. <em>p</em> ≠ 0.58. C
Compute the sample proportion as follows:
Compute the test statistic value as follows:
The test statistic value is 0.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
Compute the p-value for the two-tailed test as follows:
*Use a z-table for the probability.
The p-value of the test is 1.
The p-value of the test is very large when compared to the significance level.
The null hypothesis will not be rejected.
Thus, it can be concluded that the proportion of college students who work year-round is 58%.
Answer:
99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they find a job in their chosen field within one year of graduating, or they do not. The probability of a student finding a job in their chosen field within one year of graduating is independent of other students. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
56% of the school's graduates find a job in their chosen field within a year after graduation.
This means that
Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.
This is when n = 6.
Either none find a job, or at least one does. The sum of the probabilities of these events is decimal 1. So
In which
99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.