A report from the National Center for Education Statistics claims that more than two-thirds ofundergraduates get some form of financial aid. You take a random sample of 400 undergraduatesfrom the U.S. and find that 302 receive some form of financial aid. Test the claim at a 0.05Use this scenario to answer questions 11-15.11) State the alternative and null hypothesis12) Calculate the test statistic.

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Asked Dec 1, 2019
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Need answer to question 12.

A report from the National Center for Education Statistics claims that more than two-thirds of
undergraduates get some form of financial aid. You take a random sample of 400 undergraduates
from the U.S. and find that 302 receive some form of financial aid. Test the claim at a 0.05
Use this scenario to answer questions 11-15.
11) State the alternative and null hypothesis
12) Calculate the test statistic.
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A report from the National Center for Education Statistics claims that more than two-thirds of undergraduates get some form of financial aid. You take a random sample of 400 undergraduates from the U.S. and find that 302 receive some form of financial aid. Test the claim at a 0.05 Use this scenario to answer questions 11-15. 11) State the alternative and null hypothesis 12) Calculate the test statistic.

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Expert Answer

Step 1

12)

The test statistics is obtained below:

From the given information, sample of 400 undergraduates from the U.S and find that 302 receive form of financial aid and P denote the proportion of undergraduates in the population that more than two-thirds of undergraduates get some form of financial aid That is p0 0.667.

The sample proportion is,

х
п
302
400
0.755
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х п 302 400 0.755

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Step 2

The test statis...

p- Po
|Ро (1- Ро)
Z
п
0.755 0.667
|0.667 (1-0.667)
400
0.088
0.667x0.333
400
0.088
0.0236
= 3.73
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p- Po |Ро (1- Ро) Z п 0.755 0.667 |0.667 (1-0.667) 400 0.088 0.667x0.333 400 0.088 0.0236 = 3.73

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