The mean number of eggs per person eaten in the United States is 267. Do college students eat a different number of eggs than the average American? The 56 college students surveyed averaged 266 eggs per person and their standard deviation was 34.7. What can be concluded at the or = 0.01 level of significance? a. For this study, we should use | Select an answer v b. The null and alternative hypotheses would be: Ho: 2 v Select an answer V H1 : [2 v Select an answer V c. The test statistic [? v ] = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) . The p-value is ? v o f. Based on this, we should Select an answer V ] the null hypothesis. 2. Thus, the final conclusion is that ... O The data suggest that the population mean is not significantly different from 267 at o = 0.01, so there is statistically insignificant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 267. O The data suggest that the populaton mean is significantly different from 267 at a = 0.01, so there is statistically significant evidence to conclude that the population mean number of eggs consumed by college students per year is different from 267. O The data suggest that the sample mean is not significantly different from 267 at o = 0.01, so there is statistically insignificant evidence to conclude that the sample mean number of eggs consumed by college students per year is different from 266. h. Interpret the p-value in the context of the study. There is a 83.00525198% chance of a Type | error. O There is a 83.00525198% chance that the population mean number of eggs consumed by college students per year is not equal to 267. If the population mean number of eggs consumed by college students per year is 267 and if another 56 college students are surveyed then there would be a 83.00525198%% chance that the population mean would either be less than 266 or greater than 268. O If the population mean number of eggs consumed by college students per year is 267 and if another 56 college students are surveyed then there would be a 83.00525198%% chance that the sample mean for these 56 students surveyed would either be less than 266 or greater than 268. i. Interpret the level of significance in the context of the study. O If the population mean number of eggs consumed by college students per year is 267 and if another 56 college students are surveyed then there would be a 1% chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is different from 267. O If the population population mean number of eggs consumed by college students per year is different from 267 and if another 56 college students are surveyed then there would be a 1% chance that we would end up falsely concluding that the population mean number of eggs consumed by college students per year is equal to 267. O There is a 1% chance that the population mean number of eggs consumed by college students per year is different from 267. O There is a 1% chance that you will find the chicken that lays the golden eggs