For several years, a political party has had 38% support among the population of potential voters. However, the party has recently changed its branding, and the party leadership wishes to know whether support for the party has changed. A random sample of voters is selected, and each person in the sample is asked whether he or she supports the party. Using the results, a hypothesis test is performed in order to find out whether there is convincing evidence of a change in the level of support for the party. A standardized z statistic is used, and a p-value is calculated. The p value is... (be sure to read the options below carefully...) a) the probability that support for the party has changed. b) the probability of getting the z statistic calculated in the study, given that support for the party has not changed. c) the probability of getting a z statistic at least as far from zero as the one in the study, given that support for the party has not changed. d) the probability that support for the party has not changed. e) the probability of getting a z statistic at least as far above zero as the one in the study, given that support for the party has not changed.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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 For several years, a political party has had 38% support among the population of potential voters. However, the party has recently changed its branding, and the party leadership wishes to know whether support for the party has changed. A random sample of voters is selected, and each person in the sample is asked whether he or she supports the party. Using the results, a hypothesis test is performed in order to find out whether there is convincing evidence of a change in the level of support for the party. A standardized z statistic is used, and a p-value is calculated. The p value is... (be sure to read the options below carefully...)

a) the probability that support for the party has changed.

b) the probability of getting the z statistic calculated in the study, given that support for the party has not changed.
c) the probability of getting a z statistic at least as far from zero as the one in the study, given that support for the party has not changed.
d) the probability that support for the party has not changed.
e) the probability of getting a z statistic at least as far above zero as the one in the study, given that support for the party has not changed.
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