T and p value please Below is the educational website formatting for the given content:---### Hypothesis Testing: Finding the Test Statistic and P-Value#### Task:Find the test statistic and p-value from your data.1. **Calculate the Test Statistic (t):** - **Input:** Type an integer or decimal rounded to two decimal places as needed. - **Field:** `t = [____]`2. **Calculate the P-Value (p):** - **Input:** Type an integer or decimal rounded to three decimal places as needed. - **Field:** `p = [____]`#### Decision:Determine whether to reject or not reject the null hypothesis (H₀). Choose the correct option:- **Option A:** - **Action:** Reject H₀. - **Reasoning:** The population mean is definitely not 37 inches based on the data at a significance level of 0.05.- **Option B:** - **Action:** Reject H₀. - **Reasoning:** There is reason to believe that 37 inches is not the population mean at a significance level of 0.05.- **Option C:** - **Action:** Do not reject H₀. - **Reasoning:** There is no reason to believe that 37 inches is not the population mean at a significance level of 0.05.- **Option D:** - **Action:** Do not reject H₀. - **Reasoning:** The population mean is definitely 37 inches based on the data at a significance level of 0.05.---Make sure to complete your calculations to determine which option to select based on your data analysis. In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.2 inches with a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below.---**a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05.**Which of the following correctly states \( H_0 \) and \( H_a \)?- A. \( H_0: \mu \geq 37 \) \( H_a: \mu < 37 \)- B. \( H_0: \mu = 37 \) \( H_a: \mu < 37 \)- C. \( H_0: \mu > 37 \) \( H_a: \mu \leq 37 \)- D. \( H_0: \mu = 37 \) \( H_a: \mu \ne 37 \)- E. \( H_0: \mu \ne 37 \) \( H_a: \mu = 37 \)- F. \( H_0: \mu = 37 \) \( H_a: \mu > 37 \)*(Option D is selected)***Find the test statistic.**\( t = \) [ ](Type an integer or decimal rounded to two decimal places as needed.)**Find the p-value.**\( p = \) [ ](Type an integer or decimal rounded to three decimal places as needed.)**Reject or do not reject \( H_0 \). Choose the correct answer below.**

GivenMean(x)=36.2standard deviation(s)=3sample size(n)=15significance level(α)=0.05

In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.2 inches with a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following correctly states Ho and H₂? A. D. Ho:μ ≥37 Ha:μ<37 Ho: μ = 37 Ha: μ#37 Find the test statistic. B. O E. Ho: μ = 37 Ha: μ<37 Ho: μ#37 Ha: μ = 37 t= (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. р (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject Ho. Choose the correct answer below. Ho: μ>37 C. Ha: μ≤37 O F. Ho: μ = 37 Ha: μ>37