Answer these question **Hypothesis Testing for Population Mean****Problem Statement:**Use technology to help you test the claim about the population mean, \( \mu \), at the given level of significance, \( \alpha \), using the given sample statistics. Assume the population is normally distributed. **Given Values:**- Claim: \( \mu > 1300 \)- Significance Level: \( \alpha = 0.06 \)- Population Standard Deviation: \( \sigma = 202.14 \)- Sample Statistics: \( \bar{x} = 1316.85 \), \( n = 275 \)**Identify the Null and Alternative Hypotheses:**Choose the correct answer below:- Option A: - \( H_0: \mu \geq 1316.85 \) - \( H_a: \mu < 1316.85 \)- Option B: - **\( H_0: \mu \leq 1300 \)** - **\( H_a: \mu > 1300 \)**- Option C: - \( H_0: \mu \leq 1316.85 \) - \( H_a: \mu > 1316.85 \)- Option D: - \( H_0: \mu = 1316.85 \) - \( H_a: \mu \neq 1316.85 \)- Option E: - \( H_0: \mu \geq 1300 \) - \( H_a: \mu < 1300 \)**Calculations:**1. **Calculate the Standardized Test Statistic:** The standardized test statistic is calculated as: \[ z = \frac{\bar{x} - \mu_0}{\sigma/\sqrt{n}} \] The standardized test statistic is \( 1.38 \). (Round to two decimal places as needed.)2. **Determine the P-value:** Calculate the P-value for the test statistic. \( P = \) (Round to three decimal places as needed.)**Help and Resources:**- Options to explore further help such as "Help me solve this," "View an example," or "Get more help" are available. - COPYRIGHT © 2021 Pearson Education, Inc. All rights reserved.

The given values are μ>1300,σ=202.14,x¯=1316.85,n=275.

Use technology to help you test the claim about the population mean, p, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: u> 1300; a=0.06; o = 202.14. Sample statistics: x= 1316.85, n 275 Identify the null and alternative hypotheses. Choose the correct answer below. .... OA. Ho H21316.85 Ha u<1316.85 B. Ho: µs 1300 H u> 1300 OC. Ho us1316.85 Hp> 1316.85 OU. Ho: u> 1316.85 H3us 1316.85 OE Ho H2 1300 Ho: H> 1300 H us 1300 Ha u< 1300 Calculate the standardized test statistic. The standardized test statistic is 1.38 (Round to two decimal places as needed.) Determine the P-value