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Chapter 9: Q. 99 (page 553)

Sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. To test if68%also represents California鈥檚 percent for full-time faculty teaching the online classes, Long Beach City College (LBCC) in California, was randomly selected for comparison. In the same year,34of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test to determine if68% represents California. NOTE: For more accurate results, use more California community colleges and this past year's data

Short Answer

Expert verified

Since the null hypothesis is not disproved, California represents68%of full-time faculty teaching the online classes.

Step by step solution

01

Given information

Sample size, n=44

The number of online courses in LBCC were taught by full-time faculty=34

02

Explanation

Hypothesis: The null hypothesis states that 68%of proportion represents California and the alternative hypothesis states that other than 68%of proportion does not represent California.

H0:p=0.68H0:p鈮�0.68

The normal distribution is:

N0.68,0.680.3244

The Z test statistic is:

z=p鈭�-pp1-pnp鈭�=xn=3444=0.773

Substitute the p鈭�value in the Z test statistic.

z=p鈭�-pp1-pn=0.773-0.68p1-pn=0.0930.0703=1.323

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