Final answer:
The student's question is about conducting a hypothesis test to determine if the proportion of left-handed golf clubs sold is different from the manufacturer's belief of 10%, using a significance level of 0.02. It involves setting up null and alternative hypotheses, calculating the test statistic, and making a decision based on the resulting p-value.
Step-by-step explanation:
The student's question involves performing a hypothesis test to ascertain if the proportion of left-handed golf clubs sold is 10%. Given that 35 out of 225 clubs sold are left-handed, and the significance level (alpha) is 0.02, we need to set up our null hypothesis (H0) as the proportion of left-handed clubs being 10% and our alternative hypothesis (Ha) as the proportion being not equal to 10%.
To do this, we use a two-tailed test with the given alpha level. We calculate the test statistic and compare it with the critical value or p-value to make a decision. If the p-value is less than or equal to alpha, we reject H0; otherwise, we fail to reject H0. The outcome (whether to reject or not reject the null hypothesis) will help us determine if there is enough evidence to support the manufacturer's belief about the proportion of left-handed golf clubs.