i just need the part A to this question, thank you in advance!

12. [3.75/4.5 Points) DETAILS PREVIOUS ANSWERS PECKSTAT2 10.E.033.MI.S. MY NOTES ASK YOUR TEACHER Suppose a paper describes a study of 800 adults living in Belgium. Suppose that is reasonable to regard this sample as a random sample of adults living in Belgium. You want to use the survey data to decide if there is evidence that a majority of adults iving in Belgium take their cell phones to bed with them. Let p denote the population proportion of all adults living in Belgium who take their cell phones to bed with them. (Hint: See Example 10.10. Use a table or SALT.) USE SALT M - 400 (a) Describe the shape, center and variability of the sampling distribution of for random samples of size 800 if the null hypothesis No: 0-0.50 is true. (Round your standard deviation to four decimal places.) The shape of the samping distribution is apprimely normal The samping distribution is centered at * The standard deviation of the sampling distribution is 10 (b) Would you be surprised to observe a sample proportion as large as p = 0.53 for a sample of size 800 if the null hypothesis Noi = 0.50 were true? Explain why or why not. (Round your answer to four decimal places.) I would not be surprised to observe a sample proportion of p = 0.51 for a sample of size 800 if the null hypothesis Ho: P-0.5 is true. The probability of a sample proportion this large or larger is 0.2858 which greater than a 15 the acceptance level of 0.05. - (c) Would you be surprised to observe a sample proportion as large as p = 0.55 for a sample of size 800 the null hypothesis Moip -0.50 were true? Explain why or why not. (Round your answer to four decimal places.) I would o be surprised to observe a sample proportion of p = 0.55 for a sample of size 800 if the hull hypothesis Mg: P - 0.5 is true. The probability of a sample proportion this large or larger is 0.0023 which is less than the acceptance level of 0.05. () The actual sample proportion observed in the study was p=0.59. Based on this sample proportion, is there convincing evidence that the null hypothesis No: p0.50 is not true, or is consistent with what you would expect to see when the null hypothesis is true? Support your answer with a probability calculation (Round your answer to four decimal places.) Since probability of a sample proportion this large or larger is 0.0000 which is less than the acceptance level of 0.05, there convincing evidence that the nut hypothesis Ho: P = 0.50 is not true. (e) Do you think it would be reasonable to generalize the conclusion of this test to adults iving in the United States? Explain why or why not. Yes, it is reasonable to generalize this conclusion to adults Wing in the U.S. because the sample size was greater than 1,000 Yes, it is reasonable to generalize this conclusion to adults living in the US, because the sample was of adults. O No, it is not reasonable to generalize this conclusion to aduits Tving in the US. because the sample was of adults living in Belgium No, it is not reasonable to generalize this conclusion to adults Iving in the U.S. because the sample size was less than 1,000 No, it is not reasonable to generalize this conclusion to aduits living in the U.S. because the sample proportion is too low. Need Help? Read Web Master