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In: Statistics and Probability

Women athletes at the University of Colorado – Boulder have a long-term graduation rate of 62%...

Women athletes at the University of Colorado – Boulder have a long-term graduation rate of 62% (Source: The Chronicle of Higher Education). Over the past several years, a simple random sample of 42 women athletes at the school showed that 22 eventually graduated. Does this indicate that the population proportion of women athletes who graduate from the University of Colorado – Boulder is now less than 62%? Use a 5% significance level and the Traditional method.

check the requirements

Establish H0 and H1.

Is this a 2-tailed test, left-tailed, or right-tailed?

Calculate the value of the test statistic. Round to three figures after the decimal point. Use correct sign.

Determine the critical value. Use correct sign.

Is there sufficient evidence to reject the claim that the population proportion of women athletes who graduate from UC equals to 0.62?

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