It has been found that 85.6% of all enrolled college and university students in

Question

It has been found that 85.6% of all enrolled college and university students in the United States are undergraduates. A random sample of 493 enrolled college students in a particular state revealed that 422 of them were undergraduates. Is there sufficient evidence to conclude that the proportion differs from the national percentage? Use alpha = 0.10. Source: Times Almanac. Part 1 out of 5 State the hypotheses and identify the claim with the correct hypothesis. H_0: p H_1: p This hypothesis test is a test.

Explanation / Answer

Here we have to test the hypothesis that,

H0 : p = 0.856 Vs H1 : p 0.856

where p is population proportion.

This hypothesis test is two sided test.

Assume alpha = 0.10

sample size (n) = 493

x = number of undregraduates = 422

This we can done using TI-83 calculator.

steps :

STAT --> TESTS --> 5:1-PropZTest --> ENTER --> Input all the values --> select alternative " " --> ENTER --> Calculate --> ENTER

Results are :

Z = -0.0010

P-value = 0.999

P-value > alpha

Accept H0 at 10% level of significance.

Conclusion : Population proportion is 85.6%.

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