A. Hypothesis Testing (70%) Background: A technology company claims that the average download speed of their internet service is 100 Mbps. The company wants to test this claim with a sample of customers.. Task: You have been hired as a data analyst to help the technology company with hypothesis testing and confidence intervals. 1. Formulate the null and alternative hypotheses for this situation. 2. If a random sample of 50 customers produces a sample mean download speed of 102 Mbps with a sample standard deviation of 15 Mbps, calculate the test statistic using a z-value. 3. Calculate the p-value for this test and interpret the results at a significance level of 0.05. 4. Determine the critical value for a two-tailed test with a significance level of 0.05. 5. Compare the calculated z-value from Task 2 with the critical value obtained in Task 4. What is your conclusion? 6. How would increasing the sample size from 50 to 100 affect your conclusion? Explain. 7. Explain the concept of Type I and Type II errors in the context of hypothesis testing for the technology company's claim. Provide examples of each type of error and discuss their potential consequences. 8. Provide two other