Question

Jun 19 by 11:59pmPoints 10Submitting an external toolQuestionJames is a baseball player who hits left handed. Based on his past statistics, his strikeout rate against left-handed pitchers12.5%. He would like to reduce this rate, so he changes his batting stance. To test whether it works, he uses a pitchingmachine to simulate 200 at bats. In these, he struck out 16 times.James conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion ofstrikeouts against left-handed pitchers using James's new stance is less than 12.5%.

Answer 1

Step-by-step explanation

From the statement, we know that:

• Based on James' past statistics, his rate is 12.5% ⇒ ,H₀: p = 0.125,,

,

• to test whether the true proportion of strikeouts against left-handed pitchers using James's new stance is less than 12.5% ⇒ ,Hₐ: p < 0.125, which is a left-tailed test,.

Combining these conclusions, we have that the hypothesis test consists in:

• H₀: p = 0.125; Hₐ: p < 0.125, which is a left-tailed test.

Answer

H₀: p = 0.125; Hₐ: p < 0.125, which is a left-tailed test.