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Chapter 7: Q116S (page 442)
A t-test is conducted for the null hypothesis versus the alternative for a random sample of n = 17 observations. The test results are t = 1.174, p-value = 0.1288.
a. Interpret the p-value.
a. There is a 12.88% chance that we would observe a test statistic resulting in 1.174.
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If you select a very small value for when conducting a hypothesis test, will tend to be big or small? Explain.
Suppose a random sample of 100 observations from a binomial population gives a value of \(\hat p = .63\) and you wish to test the null hypothesis that the population parameter p is equal to .70 against the alternative hypothesis that p is less than .70.
a. Noting that\(\hat p = .63\) what does your intuition tell you? Does the value of \(\hat p\) appear to contradict the null hypothesis?
Question: Point spreads of NFL games. Refer to the Chance (Fall 1998) study of point-spread errors in NFL games, Exercise 7.41 (p. 411). Recall that the difference between the actual game outcome and the point spread established by odds makers鈥攖he point-spread error鈥攚as calculated for 240 NFL games. The results are summarized as follows: . Suppose the researcher wants to know whether the true standard deviation of the point spread errors exceeds 15. Conduct the analysis using 伪 = 0.10.
: A random sample of n = 200 observations from a binomial population yield
a. Test against . Use.Companies that produce candies typically offer different colors of their candies to provide consumers a choice. Presumably, the consumer will choose one color over another because of taste. Chance (Winter 2010) presented an experiment designed to test this taste theory. Students were blindfolded and then given a red or yellow Gummi Bear to chew. (Half the students were randomly assigned to receive the red Gummi Bear and half to receive the yellow Bear. The students could not see what color Gummi Bear they were given.) After chewing, the students were asked to guess the color of the candy based on the flavor. Of the 121 students who participated in the study, 97 correctly identified the color of the Gummi Bear.
a. If there is no relationship between color and Gummi Bear flavor, what proportion of the population of students would correctly identify the color?
b. Specify the null and alternative hypotheses for testing whether color and flavor are related.
c. Carry out the test and give the appropriate conclusion at Use the p-value of the test, shown on the accompanying SPSS printout, to make your decision.
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