Question 33 1 pts Awell-dressed stranger approaches you on the street and asks you to play a game. Since he is well dressed, you are not threatened by this odd request and decide to play. Using a standard six-sided, balanced die, he tells you if you roll a 1 then he will give you $100. ltyou roll a 2, 3, 4, 5, or 6 then you have to give him $5. You decide to play the game 5 times. For each game, you record whether you win or lose. Choose whether each of the following is the variable of interest or random variable whether you win or lose on each game ' [Choose] v' the number of times you win ' [Choose] V' Question 34 1.5 pts Awell-dressed stranger approaches you on the street and asks you to play a game. Since he is well dressed, you are not threatened by this odd request and decide to play. Using a standard six-sided, balanced die. he tells you if you roll a 1 then he will give you $100. ltyou roll a 2, 3, 4, 5, or 6 then you have to give him $5. You decide to playr the game 5 times. For each game, you record whether you win or lose. Check if each of the following conditions is satised for the random variable to have a binomial distribution. [We'll assume that each roll of the die is independent of any other roll of the die.) Check all that apply. There are two possible outcomes for each trial, one ofwhich must occur. There are a xed number of trials. The probability of a \"success" is the same for each trial. Question 40 2 pts A study published in 2003 in the American Journal of Health Promotion [Volume 22, Issue 6} by researchers at the University of Minnesota (U of M) found that 124 out of 1.923 U of M females had over $6,000 in credit card debt while 61 out of 1.236 males had over $6,000 in credit card debt. For each individual, the onlyr information obtained was whether or not they had more than $6.000 of credit card debt. Test if there is evidence that the proportion of female students at U of M with more than $6,000 credit card debt is different than the proportion of males at U of M with more than $6,000 credit card debt. Assuming it is legitimate to use the normal approximation methods, fill in the blanks with appropriate values to calculate the z-statistic. In the numerator, the sample proportions go inside the parentheses with females rst. The hypothesized value is the last value in the numerator. Round the sample proportions and standard error to four decimal places. [Be careful with the calculation of the standard error.) , mimic z _ D A =l 0.0645 l B ;l 0.0494 l m l Question 38 1 pts A study published in 2003 in the American Journal of Health Promotion [Volume 22, Issue 6} by researchers at the University of Minnesota (U of M) found that 124 out of 1,923 U of M females had over $6,000 in credit card debt while 61 out of 1.236 males had over $6,000 in credit card debt. For each individual, the only information obtained was whether or not they had more than $6.000 of credit card debt. Test if there is evidence that the proportion of female students at U of M with more than $6,000 credit card debt is different than the proportion of males at U of M with more than $6.000 credit card debt. Is this a one-sided or two-sided hypothesis test? 0 one-sided two-sided Question 39 1 pts A study published in 2003 in the American Journal of Health Promotion [Volume 22, Issue 6} by researchers at the University of Minnesota (U of M) found that 124 out of 1,923 U of M females had over $6,000 in credit card debt while 61 out of 1.236 males had over $6,000 in credit card debt. For each individual, the only information obtained was whether or not they had more than $6.000 of credit card debt. Test if there is evidence that the proportion of female students at U of M with more than $6,000 credit card debt is different than the proportion of males at U of M with more than $6.000 credit card debt. Can the normal approximation method be used to perform this hypothesis test? 0 Yes. since n'p and n'll-p] are both at least 10. 0 Yes, since for both males and females. there are at least 10 in the sample with credit card debt over $6,000 and at least 10 in the sample with credit card debt less than or equal to $6,000.. G No, the normal approximation method cannot be used when a variable of interest is categorical