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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 if 68% 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, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test to determine if 68% represents California. NOTE: For more accurate results, use more California community colleges and this past year's data.

Short Answer

Expert verified

Confidence Interval: (0.65, 0.90)

Step by step solution

01

Find H0 and Ha: We want to test if California community colleges take 68% of the online classes thought by full-time faculties, or not.

H0:p=0.68;Ha:p鈮�0.68

02

Determine the distribution needed: In words, CLEARLY state what your random variable P′ represents.Let P′ = the proportion of online courses at LBCC that are taught by full-time faculty.

Normal:N0.68,(0.68)(1-0.68)44

Test Statistic:z=0.1873

03

Calculate the p-value using the normal distribution for proportions:

p-value=0.1873

In one to two complete sentences, explain what the p-value means for this problem.

If the null hypothesis is true (the proportion is 0.68), then there is a 0.1873 probability that the sample (estimated) proportion is 0.773 or more.

04

Compare α and the p-value:Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.

alphadecisionreason for decision
0.05Do not reject the null hypothesis.
p-value>0.05

Conclusion: At the 5% level, the data do not provide statistically significant evidence that the true proportion of online courses taught by full-time faculty is not 68%.

05

Confidence Interval

Confidence Interval: (0.65, 0.90): The 鈥減lus-4s鈥� confidence interval is (0.6275, 0.8725).

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Most popular questions from this chapter

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"Japanese Girls鈥� Names"

by Kumi Furuichi

It used to be very typical for Japanese girls鈥� names to end with 鈥渒o.鈥� (The trend might have started around my

grandmothers鈥� generation and its peak might have been around my mother鈥檚 generation.) 鈥淜o鈥� means 鈥渃hild鈥� in Chinese characters. Parents would name their daughters with 鈥渒o鈥� attaching to other Chinese characters which have meanings that they want their daughters to become, such as Sachiko鈥攈appy child, Yoshiko鈥攁 good child, Yasuko鈥攁 healthy child, and so on.

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Kyoko, Kyoko, Madoka, Maho, Mai, Maiko, Maki, Miki, Miki, Mikiko, Mina, Minako, Miyako, Momoko, Nana, Naoko,

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Sayuri, Seiko, Shiho, Shizuka, Sumiko, Takako, Takako, Tomoe, Tomoe, Tomoko, Touko, Yasuko, Yasuko, Yasuyo, Yoko, Yoko, Yoko, Yoshiko, Yoshiko, Yoshiko, Yuka, Yuki, Yuki, Yukiko, Yuko, Yuko.
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