According to a food website, the mean consumption of popcorn annually by Americans is 56 quarts....

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According to a food website, the mean consumption of popcorn annually by Americans is 56 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: H: (Type integers or decimals. Do not round.) (b) A sample of 869 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department. O O A. There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. B. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. C. There is sufficient evidence to conclude that the mean consumption of popcorn has risen. 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 56 quarts. Has a Type I or Type II error been made by the marketing department? If we tested this hypothesis at the a=0.1 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.) OA. 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 OB. 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 OC. 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 OD. 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 In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 11 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x 8.02 cm and s=0.7 cm. Conduct the appropriate test at the a=0.01 level of significance. Clalt it fulla antal myposts. H: H (Type integers or decimals. Do not round.) Identify the t-statistic. to (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. the null hypothesis. There sufficient evidence to claim that the mean hippocampal volume is cm. A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 704.8. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 31 high-income individuals and found the sample mean credit score to be 715.1 with a standard deviation of 84.6. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the = 0.05 level of significance. HH (Type integers or decimals. Do not round.) Identify the t-statistic. to (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. the null hypothesis. There sufficient evidence to claim that the mean credit score of high-income individuals is According to a food website, the mean consumption of popcorn annually by Americans is 56 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: H: (Type integers or decimals. Do not round.) (b) A sample of 869 Americans provides enough evidence to conclude that marketing campaign was effective. Provide a statement that should be put out by the marketing department. O O A. There is not sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. B. There is sufficient evidence to conclude that the mean consumption of popcorn has stayed the same. C. There is sufficient evidence to conclude that the mean consumption of popcorn has risen. 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 56 quarts. Has a Type I or Type II error been made by the marketing department? If we tested this hypothesis at the a=0.1 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.) OA. 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 OB. 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 OC. 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 OD. 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 In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 11 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cm. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x 8.02 cm and s=0.7 cm. Conduct the appropriate test at the a=0.01 level of significance. Clalt it fulla antal myposts. H: H (Type integers or decimals. Do not round.) Identify the t-statistic. to (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. the null hypothesis. There sufficient evidence to claim that the mean hippocampal volume is cm. A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 704.8. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 31 high-income individuals and found the sample mean credit score to be 715.1 with a standard deviation of 84.6. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the = 0.05 level of significance. HH (Type integers or decimals. Do not round.) Identify the t-statistic. to (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) Make a conclusion regarding the hypothesis. the null hypothesis. There sufficient evidence to claim that the mean credit score of high-income individuals is