7 **Educational Resource on Hypothesis Testing**A college entrance exam company determined that a score of 25 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 25.3 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 25 on the mathematics portion of the exam? Complete parts a) through d) below.---**c) Use the P-value approach at the \(\alpha = 0.05\) level of significance to test the hypotheses in part (a).**- **Identify the test statistic.** \( t_0 = \) [_______] (Round to two decimal places as needed.)- **Identify the P-value.** P-value = [_______] (Round to three decimal places as needed.)---**d) Write a conclusion based on the results. Choose the correct answer below.**- [Dropdown] the null hypothesis and claim that there [Dropdown] sufficient evidence to conclude that the population mean is [Dropdown] than 25.---In parts c) and d), you are instructed to calculate and interpret the test statistic and P-value, then draw a conclusion about whether the mean score is significantly greater than 25 based on your statistical findings at the 0.05 significance level.This exercise teaches the important concepts of hypothesis testing using the P-value approach and demonstrates the process of making data-driven decisions.

Given,sample size(n)=150sample mean(x¯)=25.3standard deviation(s)=3.3α=0.05H0:μ=25H1:μ>25

A college entrance exam company determined that a score of 25 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core A curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 25.3 on the college entrance exam with a standard deviation of 3.3. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 25 on the mathematics portion of the exam? Complete parts a) through d) below. c) Use the P-value approach at the a= 0.05 level i significance to test the hypotheses in part (a). Identify the test statistic. to = (Round to two decimal places as needed.) Identify the P-value. P-value =O (Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. v the null hypothesis and claim that there V sufficient evidence to conclude that the population mean is V than 25.