One:

Suppose the null hypothesis is not rejected. State the conclusion based on the results of the test. Three years ago, the mean price of a single-family home was $243,757. A real estate broker believes that the mean price has decreased since then. Which of the following is the correct conclusion? A. There is sufficient evidence to conclude that the mean price of a single-family home has not changed. O B. There is sufficient evidence to conclude that the mean price of a single-family home has decreased. O C. There is not sufficient evidence to conclude that the mean price of a single-family home has not changed. O D. There is not sufficient evidence to conclude that the mean price of a single-family home has decreased.According to a food website, the mean consumption of popcorn annually by Americans is 59 quarts. The marketing division of the food website unleashes an aggressive campaign designed to get Americans to consume even more popcorn. Complete parts (a) through (c) below. (a) Determine the null and alternative hypotheses that would be used to test the effectiveness of the marketing campaign. Ho: H1: (Type integers or decimals. Do not round.) (b) A sample of 865 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department. O A. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. O B. There is sufficient evidence to conclude that the mean consumption of popcorn has risen. C. There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. O D. There is not sufficient evidence to conclude that the mean consumption of popcorn has risen.(c) Suppose, in fact, the mean annual consumption of popcorn after the marketing campaign is 59 quarts. Has a Type I or Type II error been made by the marketing department? If we tested this hypothesis at the a = 0.01 level of significance, what is the probability of committing this error? Select the correct choice below and fill in the answer box within your choice. (Type an integer or a decimal. Do not round.) A. The marketing department committed a Type II error because the marketing department did not reject the alternative hypothesis when the null hypothesis was true. The probability of making a Type II error is. B. The marketing department committed a Type II error because the marketing department rejected the null hypothesis when it was true. The probability of making a Type II error is O C. The marketing department committed a Type I error because the marketing department rejected the null hypothesis when it was true. The probability of making a Type I error is. O D. The marketing department committed a Type I error because the marketing department did not reject the alternative hypothesis when the null hypothesis was true. The probability of making a Type I error isThe manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. An infomercial claims that a woman drove 6 hours without oil, thanks to the engine treatment. A magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. Complete parts (a) and (b) below. (3) Determine the null and alternative hypotheses that the magazine will test. H0: lv| vs H1: Fl vs (b) Both engines took exactly 11 minutes to seize. What conclusion might the magazine make based on this evidence? 0 A. The infomercial's claim is not true. 0 B. The infomercial's claim is true