9.1 Homework (modified r. bloom)  (Page 4/5)

Exercise removed from textbook

Exercise removed from textbook

Toastmasters International cites a February 2001 report by Gallop Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys 361 schoolmates and finds that 135 report they fear public speaking. Conduct a hypothesis test to determine if the percent at her school is less than 40%. ( Source: http://toastmasters.org/artisan/detail.asp?CategoryID=1&SubCategoryID=10&ArticleID=429&Page=1 )

In 2004, 68% of online courses taught at community colleges nationwide were taught by full-time faculty. To test if 68% also represents California’s percent for full-time faculty teaching the online classes, Long Beach City College (LBCC), CA, was randomly selected for comparison. In 2004, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test to determine if 68% represents CA. NOTE: For a true test, use more CA community colleges. (Sources: Growing by Degrees by Allen and Seaman; Amit Schitai, Director of Instructional Technology and Distance Learning, LBCC).

According to an article in The New York Times (5/12/2004), 19.3% of New York City adults smoked in 2003. Suppose that a survey is conducted to determine this year’s rate. Twelve out of 70 randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine is the rate is still 19.3%.

The average age of De Anza College students in Winter 2006 term was 26.6 years old. An instructor thinks the average age for online students is older than 26.6. She randomly surveys 56 online students and finds that the sample average is 29.4 with a standard deviation of 2.1. Conduct a hypothesis test. ( Source: http://research.fhda.edu/factbook/DAdemofs/Fact_sheet_da_2006w.pdf )

In 2004, registered nurses earned an average annual salary of $52,330. A survey was conducted of 41 California nursed to determine if the annual salary is higher than $52,330 for California nurses. The sample average was $61,121 with a sample standard deviation of $7,489. Conduct a hypothesis test. ( Source: http://stats.bls.gov/oco/ocos083.htm#earnings )

La Leche League International reports that the average age of weaning a child from breastfeeding is age 4 to 5 worldwide. In America, most nursing mothers wean their children much earlier. Suppose a random survey is conducted of 21 U.S. mothers who recently weaned their children. The average weaning age was 9 months (3/4 year) with a standard deviation of 4 months. Conduct a hypothesis test to determine is the average weaning age in the U.S. is less than 4 years old. ( Source: http://www.lalecheleague.org/Law/BAFeb01.html )

When a new drug is created, the pharmaceutical company must subject it to testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. Suppose the null hypothesis is “the drug is unsafe.” What is the Type II Error?

• A

  To claim the drug is safe when in, fact, it is unsafe

• B

  To claim the drug is unsafe when, in fact, it is safe.

• C

  To claim the drug is safe when, in fact, it is safe.

• D

  To claim the drug is unsafe when, in fact, it is unsafe

The next two questions refer to the following information: Over the past few decades, public health officials have examined the link between weight concerns and teen girls smoking. Researchers surveyed a group of 273 randomly selected teen girls living in Massachusetts (between 12 and 15 years old). After four years the girls were surveyed again. Sixty-three (63) said they smoked to stay thin. Is there good evidence that more than thirty percent of the teen girls smoke to stay thin?