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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’s 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≠0.68

The normal distribution is:

N0.68,0.680.3244

The Z test statistic is:

z=p∧-pp1-pnp∧=xn=3444=0.773

Substitute the p∧value in the Z test statistic.

z=p∧-pp1-pn=0.773-0.68p1-pn=0.0930.0703=1.323

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Most popular questions from this chapter

According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year’s rate. Nine out of 70 randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still 14% or if it has decreased.

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The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.

a. Is this a test of one mean or proportion?

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d. What symbol represents the random variable for this test?

e. In words, define the random variable for this test.

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ii.role="math" localid="1649760873126" n=

iii.p'=

g. Calculate role="math" localid="1649760901479" σx=Show the formula set-up.

h. State the distribution to use for the hypothesis test.

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