Please help me with the question below. I have asked the question here before but I'm not sure if I received the correct solution. I'm seeing conflicted answers for the the same question. Can you please answer and explain in detail. I'd really appreciate it. Just on thing I want to clarify here is that the sample size is greater than 30 so we must use z test. Some tutors have used t-test to answer this question and getting to different conclusion.

Scenario Script Caption:

As you prepared your memo about the new "Princess Select" line, you discovered that the sample size that you were provided was insufficiently small. Using a larger sample of 200 customers, you conducted this research and the data is now ready for your analysis.

The following results were found:

1. Sample mean for price was $49.20 with a standard deviation of $4.60

2. Proportion who would purchase the new product was 62%

Mieke: You have the new data already? Great. So, like I said previously, at least 75% of the customers must express some desire for the product. The customers who are interested in the product must be willing to pay at least $49.00.

Scenario Assignment Using this information, complete the following: 1. Conduct hypothesis tests for price and proportion. 2. Based on this updated data and Mieke's parameters, should the new line be marketed? Explain your answer.