MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

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 …
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 choosi…
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 prob…
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Question
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.
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Transcribed Image Text: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.
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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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