Question

A study was done to determine whether FSU transfer students had a lower retention from the rate of the average US student retention rate of 71%. Of the 120 FSU transfer students tracked, 84 eventually received their bachelor's degree. What can you conclude at a=0.01? a) state the null and alternate hypothesis: b) What is the value for the point estimator of students' retention rate: c) Test statistic: Provide formula and substitute values only, do not calculate d) The P-value for this test was reported as p=0.35, give a conclusion and explain it in simple non-technical terms in context of the problem.

Answer 1

Here we have given that,

Claim: To check whether FSU transfer students had a lower retention from the rate of the average US student retention rate of 71%.

(A)

The Hypothesis is as follows

v/s

(B)

Now, we have given that,

n=number of FSU students tracked=120

x: number of students eventually received their bachelor's degree=84

The point estimator of students retention rate is the sample proportion

Now, we estimate the proportion p as

=sample proportion =

(C)

Test statistic:

= -0.24

we get

The test statistics is -0.24

(D)

Now we find the P-value

= level of significance= 0.01

This is left one tailed test

P-value =(P(Z < z)

=[P( Z < -0.24)]

=0.4052 using standard normal z probability table

Here we get

The p-value is 0.4052

Decision:

Here P-value > 0.01

That is here we fail to reject Ho(Null Hypothesis)

Conclusion:

We conclude that there is no sufficient evidence that the FSU transfer students had a lower retention from the rate of the average US student retention rate of 71%.