4. In an advanced ballet dance class, it is claimed that 42% of dancers can successfully perform a double pirouette turn. We randomly select 27 advanced level ballet dancers and only 13 of them can successfully do a double. Has the proportion increased? a) State the null and alternative hypotheses. b) Find the test statistic. Round to two decimal places. c) Find the p-value. Round to four decimal places. 3 d) Suppose we chose a 5% significance level. What is your decision?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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4. In an advanced ballet dance class, it is claimed that 42% of dancers can successfully
perform a double pirouette turn. We randomly select 27 advanced level ballet dancers and
only 13 of them can successfully do a double. Has the proportion increased?
a) State the null and alternative hypotheses.
b) Find the test statistic. Round to two decimal places.
c) Find the p-value. Round to four decimal places.
ļ
d) Suppose we chose a 5% significance level. What is your decision?
Transcribed Image Text:4. In an advanced ballet dance class, it is claimed that 42% of dancers can successfully perform a double pirouette turn. We randomly select 27 advanced level ballet dancers and only 13 of them can successfully do a double. Has the proportion increased? a) State the null and alternative hypotheses. b) Find the test statistic. Round to two decimal places. c) Find the p-value. Round to four decimal places. ļ d) Suppose we chose a 5% significance level. What is your decision?
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