Biology Forums - Study Force

The International Olympic Committee states that the female participation in the 2004 Summer Olympic Games was 42%, even with new sports such as weight lifting, hammer throw, and modern pentathlon being added to the Games. Broadcasting and clothing companies want to change their advertising and marketing strategies if the female participation increases at the next games. An independent sports expert arranged for a random sample of pre-Olympic exhibitions. The sports expert reported that 202 of 454 athletes in the random sample were women. Is this strong evidence that the participation rate may increase?

Test an appropriate hypothesis and state your conclusion.

Hypotheses: H0: p = 0.42

.  The female participation rate in the Olympics is 42%.

H_A: p > 0.42 .  The female participation rate in the Olympics is greater than 42%.

Model: Okay to use the Normal model because the sample is random, these 454 athletes are less than 10% of all athletes at exhibitions, and np=(454)(0.42) = 190.68 ≥ 10 and Use a N(0.42, 0.023) model, do a 1-proportion z-test.

Mechanics: n = 454, x = 202, = = 0.445
z = = 1.09
P = P( > 0.445) = P = 0.138

Conclusion: With a p-value (0.138) so large, I fail to reject the null hypothesis that the proportion of female athletes is 0.42. There is not enough evidence to suggest that the proportion of female athletes will increase.

Exactly what I needed for my project, TYSM