Careers in science: A survey asked 590 people whether they had ever considered a career in science, and 320 said that they had. Can you conclude that th percentage of people who have considered a career in science is more than \( 50 \% \) ? Use the \( \alpha=0.05 \) level of significance. \[ \begin{array}{l} H_{0}: p=0.5 \\ H_{1}: p>0.5 \end{array} \] Part: \( 0 / 3 \) \( \square \) Part 1 of 3 (a) Find the \( P \)-value. Round your answer to at least four decimal places. The \( P \)-value is 0.0197 . Part: \( 1 / 3 \) Part 2 of 3 (b) What is the decision? Reject \( H_{0} \) Do not reject \( H_{0} \)

Given the \( P \)-value of 0.0197, which is less than the significance level \( \alpha = 0.05 \), you reject the null hypothesis \( H_{0} \). This means there is sufficient evidence to conclude that the percentage of people who have considered a career in science is indeed more than \( 50 \% \). Science careers are not just a dream for a few! Another fun tidbit: The field of science has historically attracted curious minds, from Galileo's telescope to modern-day space explorations. Fun fact: the idea of a “scientific career” gained traction in the 19th century, as universities began to offer programs specifically tailored to exploring the wonders of science, opening the doors for future generations to ask questions and seek answers in their quest for knowledge!