Write a correct alternative hypothesis for the claim that the average professional basketball player is at least 6’ 9” tall.
Ho: mean = 6' 9"
Ha: mean ≥ 6' 9"
To form an alternative hypothesis for this claim, we need to consider the possibility that the average professional basketball player may not be at least 6' 9" tall.
A correct alternative hypothesis could be:
"The average professional basketball player is less than 6' 9" tall."
To determine if this alternative hypothesis is supported, we can perform a hypothesis test using statistical analysis on a sample of professional basketball players' heights. This involves collecting data on various players' heights and analyzing it to determine if there is enough evidence to reject the claim that the average height is at least 6' 9".
The specific statistical test used would depend on the characteristics of the data and the sample size. For example, if the data is normally distributed and the sample size is sufficiently large, a t-test or a z-test could be used. These tests would provide a p-value, which would indicate the strength of the evidence against the null hypothesis (the claim that the average height is at least 6' 9").
By comparing the p-value to a predetermined significance level (typically 0.05), we can make a decision on whether to reject or fail to reject the null hypothesis, thus determining if there is enough evidence to support the alternative hypothesis.