Step 1 :The human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. To test this claim, a random sample of 700 employees is taken and 305 employees are determined to earn more than $50,000. The null hypothesis (H0) is that the proportion of employees earning more than $50,000 is equal to 40%, and the alternative hypothesis (Ha) is that the proportion is less than 40%.
Step 2 :The p-value for this hypothesis test is calculated to be 0.973. The p-value is the probability of obtaining the observed data or more extreme data, given that the null hypothesis is true.
Step 3 :We compare the p-value to the significance level of 5%. If the p-value is less than the significance level, we reject the null hypothesis. If the p-value is greater than the significance level, we do not reject the null hypothesis.
Step 4 :In this case, the p-value (0.973) is greater than the significance level (0.05), so we do not reject the null hypothesis.
Step 5 :\(\boxed{\text{Final Answer: We cannot reject the null hypothesis. Therefore, we cannot conclude that the proportion of employees earning more than $50,000 is less than 40%}}\)