Your statistics instructor would like to use a 6-side die (with each of its six faces showing a different number from 1 to 6) to choose the next quiz question. You suspect that the die is not fair, and one or more numbers show up more frequently than others, so you are conducting a multinomial Goodness-of-Fit hypothesis test for the claim that the 6-side die is not fair at the significant level of a = 0.01. For this study, we should use Your friend Claudia helped you with the null and 1alternative hypotheses... Hn:p1=p2=p2=ps=p4=105=ps=g H1 : At least one of the proportion is different from the others. You drew 76 samples, and the observed frequencies are recorded below. Please complete the table using exact answer (e.g., whole numbers, fractions or decimals). Number Observed Expected Rolled Frequency Frequency The degree of freedom = C] The test-statistic for this data = C] (Please show your answer to three decimal places.) The p-value for this sample = C] (Please show your answer to four decimal places.) The pvalue is _ a Base on this, we should hypothesis As such, the final conclusion is that... Base on the sample data, there is sufficient evidence to conclude the claim that not all 6 categories are equally likely to be selected at the significant level of a = 0.01 . Base on the sample data, there is not sufficient evidence to conclude the claim that not all 6 categories are equally likely to be selected at the significant level of a = 0.01. l .Question4 v I In the US, 44.9% of all people have type 0 blood, 40.1% have type A blood, 10.3% have type B blood and 4.7% 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 671 millionaires. What can be concluded at the significant level of a = 0.1. For this study, we should use Your friend Devonte helped you with the null and alternative hypotheses... Ho: The distributions of blood types are the same between the general population and the millionaires. H1 : The distributions of blood types are NOT the same between the general population and the millionaires. You drew 671 samples, and the observed frequencies are recorded below. Please complete the table (round answers to at least 4 decimal places). Blood Type FObserved Expected requency Frequency 0 297 C] A 262 C] B 65 [:] AB 47 [:] The degree of freedom = C] The test-statistic for this data = C] (Please show your answer to three decimal places.) The p-value for this sample = C] (Please show your answer to four decimal places.) The p-value is _ a Base on this, we should hypothesis As such, the final conclusion is that... Base on the sample data, there is sufficient evidence to conclude the claim that The distributions of blood types are not the same between the general population and the millionaires at the significant level of a = 0.1. Base on the sample data, there is not sufficient evidence to conclude the claim that The distributions of blood types are not the same between the general population and the millionaires at the significant level of a = 0.1