Based on informat attend college bel did attend college people who attene attend college?
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
![Based on information from Harper's Index, 37 out of a random sample of 100 adult Americans who did not
attend college believe in extraterrestrials. However, out of a random sample of 100 adult Americans who
did attend college, 47 claim that they believe in extraterrestrials. Does this indicate that the proportion of
people who attend college and who believe in extraterrestrials is higher than the proportion who did not
attend college?
(a) State the hypotheses in plain language.
(b) Fill in the table below, then enter this table in the left side of the Rossman-Chance applet.
No college
College
Total
Believe in ETs
84
Did not believe in ETs
116
Total
100
100
200
(c) Compute the point estimate for the difference in the proportion believing in extraterrestrials between
those not attending college and those attending college.
Pne – Pe =
(d) Complete at least 1000 simulations in the Rossman-Chance app 2 and report your findings below. (For
help with the applet, refer to the e "Using the Rossman-Chance Applet" 2 [+] handout.)
(i) What is the p-value?
less than .01 (strong evidence that the proportion who believe in extraterrestrials is different for
those who did or did not attend college)
between .01 and .05 (moderate evidence that the proportion who believe in extraterrestrials is
different for those who did or did not attend college)
O between .05 and .10 (little evidence that the proportion who believe in extraterrestrials is different
for those who did or did not attend college)
O more than .10 (no evidence that the proportion who believe in extraterrestrials is different for those
who did or did not attend college)
(ii) What is your decision about the null hypothesis?
O You should accept the null hypothesis.
O You should reject the null hypothesis.
O You should fail to reject the null hypothesis.
(iii) What is your conclusion about the alternative hypothesis?
There is strong evidence that the proportion who believe in extraterrestrials is different for those
who did or did not attend college.
O There is no evidence that the proportion who believe in extraterrestrials is different for those who
did or did not attend college.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b603b34-c6a3-4743-9050-cb413623963c%2Fe95adb12-e2bf-471d-825c-d4611e98e507%2Fi0lurh6_processed.png&w=3840&q=75)
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Based on information from Harper's Index, 37 out of a random sample of 100 adult American who did not attend college believe in extraterrestrials;
Let,
X1 be the number of adult American who did not attend college believe in extraterrestrials;
N1: Total number of a random sample of adult Americans.
Out of 100 adult Americans who did attend college, 47 claims that they believe in extraterrestrials.
X2 be the number of adult American who did attend college believe in extraterrestrials;
N2: Total number of a random sample of adult Americans.
It is asked to test whether the proportion of people who attend college and who believe in extraterrestrials is higher than the proportion who did not attend college.
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