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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. 3 d) Suppose we chose a 5% significance level. What is your decision?

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?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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