For students who first enrolled in two year public institutions in a recent​ semester, the proportion who earned a​ bachelor's degree within six years was0.397The president of a certain college believes that the proportion of students who enroll in her institution have a lower completion rate.​(a)Determine the null and alternative hypotheses.​(b)Explain what it would mean to make a Type I error.​(c)Explain what it would mean to make a Type II error.​(a) State the hypotheses. Upper H 0H0​:muμsigmaσppmuμequals=equals=greater than>less than<not equals≠nothingUpper H 1H1​:muμppsigmaσmuμless than<greater than>less than<not equals≠equals=nothing​(Type integers or decimals. Do not​ round.)

Question
Asked Nov 16, 2019
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For students who first enrolled in two year public institutions in a recent​ semester, the proportion who earned a​ bachelor's degree within six years was
0.397
The president of a certain college believes that the proportion of students who enroll in her institution have a lower completion rate.
​(a)
Determine the null and alternative hypotheses.
​(b)
Explain what it would mean to make a Type I error.
​(c)
Explain what it would mean to make a Type II error.
​(a) State the hypotheses.
 
Upper H 0H0​:
muμ
sigmaσ
pp
muμ
equals=
equals=
greater than>
less than<
not equals≠
nothing
Upper H 1H1​:
muμ
pp
sigmaσ
muμ
less than<
greater than>
less than<
not equals≠
equals=
nothing
​(Type integers or decimals. Do not​ round.)
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Expert Answer

Step 1

(a)

The null and alternative hypotheses are given below:

From the given information, the claim is the proportion of students who enroll in her institution have a lower completion rate. This is representing the alternative hypothesis.

Null hypothesis:

H0: p = 0.397.

Alternative hypothesis:

H0: p < 0.397

Step 2

(b)

Type I error:

Reject the null hypothesis, when it is true.

The president concludes that rejects the null hypothesis. But in...

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