2 good ness of fit 2 Suppose a random sample of 860 athletes from the college are asked what their major is. The table below shows the results of the survey. Observed Frequencies of Majors from the Sample Outcome Observed Frequency Math/Science 233 Arts & Humanities 141 Business & Economics 243 Other 243 The distribution of majors at the college is shown in the second column of the table below. Fill in the expected frequencies. (Round to the nearest whole number). Frequencies of Majors at the College Outcome Expected Percent Expected Frequency Math/Science 23 198 Arts & 27 232 Humanities Business & 29 250 X Economics Other 21 181In the US, 45.4%% of all people have type O blood, 39.9% have type A blood, 11.7% have type B blood and 3% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3458 millionaires. What can be concluded at the a = 0.01 significance level? 5. a. Complete the table by filling in the expected frequencies. Round to the nearest whole number: Frequencies of Blood Type Outcome Frequency | Expected Frequency 1568 0.02681 x 1375 0.056 B 414 1.1675 AB 111 0.456 . What is the correct statistical test to use? Goodness-of-Fit v What are the null and alternative hypotheses? Ho: O The distribution of blood type for millionaires is not the same as it is for Americans in general. The distribution of blood type for millionaires is the same as it is for Americans in general. O Blood type and inco O Blood type and income are independent. The distribution of blood type for millionaires is not the same as it is for Americans in general. O Blood type and income are independent. Blood type and in The distribution of blood type for millionaires is the same as it is for Americans in general. 1. The degrees of freedom = |3 e. The test-statistic for this data = |0.715 * (Please show your answer to three decimal places.) . The p-value for this sample = 0.2607 *(Please show your answer to four decimal places.) g. The p-value is [greater than vva h. Based on this, we should [fail to reject the null v i. Thus, the final conclusion is... There is insufficient evidence to conclude that the distribution of blood type for millionaires is not the same as it is for Americans in general There is sufficient evidence to conclude that the distribution of blood type for millionaires is the same as it is for Americans in general. There is sufficient evidence to conclude that the distribution of blood type for millionaires is not the same as it is for Americans in general. There is insufficient evidence to conclude that blood type and income are dependent. There is sufficient evidence to conclude that blood type and income are dependent