Question 1105773
For each of the following problems, please provide the requested information. 
.	(a)  What is the level of significance? 5%
State the null and alternate hypotheses.
Ho: p >= 0.6
Ha: p < 0.6
Will you use a left-tailed, right-tailed, or two-tailed test? left-tailed
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.	(b)  Identify the sampling distribution you will us: the standard normal or Student’s t. Explain the rationale for your choice. What is the value of the sample test statistic? 
Note:: Most texts specify Student's t for tests of proportion.
p(43/80) = (0.5375-0.6)/[0.6*0.4/sqrt(80)] = -1.1411
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.	(c)  Find (or estimate) the P &#8722; value. Sketch the sampling distribution and show the area corresponding to the P &#8722; value.
p-value = P(t < -1.1411 when n = 79) = tcdf(-100,-1.1411,79) = 0.12
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(d) Find the critical value(s).
invT(0.05,79) = -1.66; Critical if t < -1.66
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(e) Based on your answers for parts (a) to (d), will you reject or fail to reject the null hypothesis? Interpret your decision in the context of the application. 
Since the p-value is greater than 5%, fail to reject Ho.
Since the test statistic does not fall in the critical region fail to reject Ho.
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Problem::
	A Statistics teacher claims that 60% of his students will pass the class with an ”A”. Due to change of text book and educational objectives there is a worry that the number of students getting an ”A” will be smaller now. A random sample of 80 students shows that 43 got an ”A”. Test the teachers claim at significance level of 5%. 
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Cheers,
Stan H.
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