QUESTION- Monica believes that no more than 10% of students want to take calculus. If after apoll of 70 students, 10 of them said they want to take calculus, should Monica changeher mind if she sets her significance level to 5%? a) What is Monica’s null hypothesis? What should she set p0 equal to for the sake of calculations? b) Monica’s test will be to take a sample of 70 people. If Monica’s hypothesis is true, what is the mean and standard deviation of the sampling distribution? Remember that she’s hypothesizing about a proportion. c)  Since this is a proportion, should we use the normal table or the t distribution table? d)Which type of sample proportion would cause Monica to reject her null? A proportion larger than her hypothesis (right-tailed) or a proportion less than her hypothesis (left-tailed)? Or will either cause her to reject it? (Two-tailed) e) Monica will only rethink her position if something happens that has less than 5% probability. What z-score will a sample have to achieve? f) The distribution we constructed in (b) and (c) is Monica’s model of the world. However, Monica took an actual sample from the real world and found 10 students wanted to take calculus. What is the sample proportion p^? g)p^ is larger than p0, but Monica doesn’t know if it’s large enough to make her rethink things. What is the z-score of p^? Or in other words, what is the value of the test statistic? h)is this test statistic large or small enough to cause Monica to reject her null hypothesis?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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This uses the classical method / critical value method. Not the pvaluemethod.

QUESTION- Monica believes that no more than 10% of students want to take calculus. If after apoll of 70 students, 10 of them said they want to take calculus, should Monica changeher mind if she sets her significance level to 5%?

a) What is Monica’s null hypothesis? What should she set p0 equal to for the sake of calculations?

b) Monica’s test will be to take a sample of 70 people. If Monica’s hypothesis is true, what is the mean and standard deviation of the sampling distribution? Remember that she’s hypothesizing about a proportion.

c)  Since this is a proportion, should we use the normal table or the t distribution table?

d)Which type of sample proportion would cause Monica to reject her null? A proportion larger than her hypothesis (right-tailed) or a proportion less than her hypothesis (left-tailed)? Or will either cause her to reject it? (Two-tailed)

e) Monica will only rethink her position if something happens that has less than 5% probability. What z-score will a sample have to achieve?

f) The distribution we constructed in (b) and (c) is Monica’s model of the world. However, Monica took an actual sample from the real world and found 10 students wanted to take calculus. What is the sample proportion p^?

g)p^ is larger than p0, but Monica doesn’t know if it’s large enough to make her rethink things. What is the z-score of p^? Or in other words, what is the value of the test statistic?

h)is this test statistic large or small enough to cause Monica to reject her null hypothesis?

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