10.1

According to the Federal Housing Finance Board, the mean price of a single-family home two years ago was $299,000. A real estate broker believes that of the recent credit crunch, the mean price has decreased since then. The null hypothesis is not rejected. Print Choose the correct answer below. O A. There is sufficient evidence to conclude that the mean price of a single-family home has increased from its level two years ago of $299,000. O B. There is not sufficient evidence to conclude that the mean price of a single-family home has decreased from its level two years ago of $299,000. O C. There is sufficient evidence to conclude that the mean price of a single-family home has decreased from its level two years ago of $299,000. O D. There is not sufficient evidence to conclude that the mean price of a single-family home has increased from its level two years ago of $299,000. 22. According to a food website, the mean consumption of popcorn annually by Americans is 55 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. (1) (2) Ho: (3) (4) H1 (Type integers or decimals. Do not round.) (b) A sample of 890 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 not sufficient evidence to conclude that the mean consumption of popcorn has risen. O B. There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. O C. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. O D. There is 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 55 quarts. Has a Type | 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.) O 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 I error because the marketing department rejected the null hypothesis when it was true. The probability of making a Type I error is C. 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 is D. 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 (1) Op (2) 0 (3) OH (4) O OH O # Op O o O o 23. According to the Centers for Disease Control and Prevention, 9.8% of high school students currently use electronic cigarettes. A high school counselor is concerned the use of e-cigs at her school is higher. Complete parts (a) through (c) below. (a) Determine the null and alternative hypotheses. (1) (2) Ho: (3) (4) H1: (Type integers or decimals. Do not round.) (b) If the sample data indicate that the null hypothesis should not be rejected, state the conclusion of the high school counselor. A. There is sufficient evidence to conclude that the proportion of high school students stayed 0.098 at this counselor's high school. O B. There is not sufficient evidence to conclude that the proportion of high school students exceeds 0.098 at this counselor's high school. O C. There is sufficient evidence to conclude that the proportion of high school students exceeds 0.098 at this counselor's high school O D. There is not sufficient evidence to conclude that the proportion of high school students stayed 0.098 at this counselor's high school. (c) Suppose, in fact, that the proportion of students at the counselor's high school who use electronic cigarettes is 0.219. Was a type I or type II error committed? A. A Type I error was committed because the sample evidence led the counselor to conclude the proportion of e-cig users was 0.098, when, in fact, the proportion is higher. B. A Type ll error was committed because the sample evidence led the counselor to conclude the proportion of e-cig users was 0.219, when, in fact, the proportion is lower O C. A Type II error was committed because the sample evidence led the counselor to conclude the proportion of e-cig users was 0.098, when, in fact, the proportion is higher. D. A Type I error was committed because the sample evidence led the counselor to conclude the proportion of e-cig users was 0.219, when, in fact, the proportion is lower. (1) OH (2) 0 = (3) OH (4) O O P = O Op Oo O 24. If the consequences of making a Type | error are severe, would you choose the level of significance, a, to equal 0.01, 0.05, or 0.10? Choose the correct answer below. O A. 0.01 OB. 0.10 O C. 0.05