An article in the San Jose Mercury News stated that students in the California state university system take 5 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 50 students.
The student obtains a sample mean of 4.1 with a sample standard deviation of 0.7 . Is there sufficient evidence to support the student's claim at an $0=0.01$ significance level?
Determine the null and alternative hypotheses. Enter correct symbol and value

Step 1 ：Translate the problem into English: An article in the San Jose Mercury News stated that students in the California state university system take 5 years, on average, to finish their undergraduate degrees. A freshman student believes that the mean time is less and conducts a survey of 50 students. The student obtains a sample mean of 4.1 with a sample standard deviation of 0.7 . Is there sufficient evidence to support the student's claim at an $0=0.01$ significance level?

Step 2 ：Determine the null and alternative hypotheses. The null hypothesis (H0) is that the mean time to finish the undergraduate degrees is equal to 5 years. The alternative hypothesis (H1) is that the mean time to finish the undergraduate degrees is less than 5 years. The student's claim is the alternative hypothesis.

Step 3 ：Final Answer: The null hypothesis, H0: μ = 5. The alternative hypothesis, H1: μ < 5. These are the hypotheses that will be tested to determine if there is sufficient evidence to support the student's claim.

Step 4 ：Use python code to simplify the final answer. Since the hypotheses are already in their simplest form, there is no need for further simplification.

Step 5 ：Remove all references to python from the description of the problem. The problem does not contain any references to python.

Step 6 ：Render all calculations and values using latex typesetting. The final answer is \(\boxed{H0: μ = 5}\) and \(\boxed{H1: μ < 5}\).