3. According to a 2020 survey by a research group, 32% of adults typically run the water for a period of 6 to 10 minutes while taking the shower). Suppose that in a recent survey of 400 adults, 104...

Extracted text: 3. According to a 2020 survey by a research group, 32% of adults typically run the water for a period of 6 to 10 minutes while taking the shower). Suppose that in a recent survey of 400 adults, 104 stated that they typically run the water for a period of 6 to 10 minutes when they take a shower. Use 5% significance level, to test that the proportion of all adults run the water for a period of 6 to 10 minutes when they take a shower is less than 0.32. Answer the following questions. i. Identify the claim and state the Ho and H1. ii. Find the critical value. iii. Calculate the test statistic. iv. Calculate the p-value. v. Make a decision to reject or fail to reject the Ho. vi. Interpret the decision in the context of the original claim. 4. The average cost of owning and operating an automobile is $8030 per 15,000 miles including fixed and variable costs. A random survey of 100 automobile owners revealed an average cost of $8350 with a population standard deviation of $950. Use 5% significance level to test that the average cost is $8030. Answer the following questions. i. Identify the claim and state the Ho and H1. ii. Find the critical value. iii. Calculate the test statistic. iv. Calculate the p-value. v. Make a decision to reject or fail to reject the Ho. vi. Interpret the decision in the context of the original claim