1A professor collected data from classes to see whether humans made selections randomly, as a random number generator would. Each of 36 students had to pick an integer from one to five. Thedata are summarized in the table below. A true random number generator would create roughly equal numbers of all five integers. Do a goodness-of-fit analysis to test the hypothesis that humansare not like random number generators. Use a significance level of a = 0.05, and assume these data were from a random sample of students.Click the icon to view the integer selection data.ZChoose chi-square goodness of fit (GOF). Note that the only variable is Integer Chosen. Use a significance level of 0.05. We are assuming randomness. There were 36 students. Check that all theexpected counts are 5 or more.Since each expected count is the condition that all the expected counts are 5 or more(Simplify your answer.)Step 3: Compute to CompareAn incomplete calculation of the chi-square statistic is shown below. Calculate the chi-square statistic.!217QWSx²Find the p-value for this test.p-value (Round to three decimal places as needed.)Step 4: InterpretReject or do not reject the null hypothesis, and pick an interpretation from those below.Xx² = (4-72)² (15-7.2)²7.27.2HcommandOA. Do not reject the null hypothesis. Humans have not been shown to be different from random number generators.OB. Reject the null hypothesis. Humans have been shown to be different from random number generators.3aE(Round to two decimal places as needed.)DC+4RF%5IVTG6MacBook ProBYHCID&7UN-8JB1M(9KMOOcommand4;(t11?option1Nextdelete A professor collected data from classes to see whether humans made selections randomly, as a random number generator would. Each of 36 students had to pick an integer from one to five. Thedata are summarized in the table below. A true random number generator would create roughly equal numbers of all five integers. Do a goodness-of-fit analysis to test the hypothesis that humansare not like random number generators. Use a significance level of a = 0.05, and assume these data were from a random sample of students.Click the icon to view the integer selection data.nQA1Step 1: HypothesizeHo: Humans are like random number generators and produce numbers in equal quantities.State the alternative hypothesis. Choose the correct answer below.@HEF2WZSince each expected count is, the condition that all the expected counts are 5 or more(Simplify your answer.)Step 3: Compute to CompareAn incomplete calculation of the chi-square statistic is shown below. Calculate the chi-square statistic.SXOA. H: Humans are not like random number generators and are equally likely to pick all the integers.OB. H: Humans are not like random number generators and are more likely to pick odd integers.OC. H₂ Humans are not like random number generators and are more likely to pick even integers.OD. H: Humans are not like random number generators and do not produce numbers in equal quantities.Step 2: PrepareChoose chi-square goodness of fit (GOF). Note that the only variable is Integer Chosen. Use a significance level of 0.05. We are assuming randomness. There were 36 students. Check that all theexpected counts are 5 or more.Hcommandx² = (4-72)² (15-7-2)²727.2Q#3ED4CRFS5VTGMacBook Pro6YB7HN8▼JGI9MInteger Selectioncommand;{Print[IFourFiveTimesInteger ChosenOneTwoThreeNext"1?1option41513104DoneDdelete

Question

1A professor collected data from classes to see whether humans made selections randomly, as a random number generator would. Each of 36 students had to pick an integer from one to five. Thedata are summarized in the table below. A true random number generator would create roughly equal numbers of all five integers. Do a goodness-of-fit analysis to test the hypothesis that humansare not like random number generators. Use a significance level of a = 0.05, and assume these data were from a random sample of students.Click the icon to view the integer selection data.ZChoose chi-square goodness of fit (GOF). Note that the only variable is Integer Chosen. Use a significance level of 0.05. We are assuming randomness. There were 36 students. Check that all theexpected counts are 5 or more.Since each expected count is the condition that all the expected counts are 5 or more(Simplify your answer.)Step 3: Compute to CompareAn incomplete calculation of the chi-square statistic is shown below. Calculate the chi-square statistic.!217QWSx²Find the p-value for this test.p-value (Round to three decimal places as needed.)Step 4: InterpretReject or do not reject the null hypothesis, and pick an interpretation from those below.Xx² = (4-72)² (15-7.2)²7.27.2HcommandOA. Do not reject the null hypothesis. Humans have not been shown to be different from random number generators.OB. Reject the null hypothesis. Humans have been shown to be different from random number generators.3aE(Round to two decimal places as needed.)DC+4RF%5IVTG6MacBook ProBYHCID&7UN-8JB1M(9KMO>Ocommand4;(t11?option1Nextdelete A professor collected data from classes to see whether humans made selections randomly, as a random number generator would. Each of 36 students had to pick an integer from one to five. Thedata are summarized in the table below. A true random number generator would create roughly equal numbers of all five integers. Do a goodness-of-fit analysis to test the hypothesis that humansare not like random number generators. Use a significance level of a = 0.05, and assume these data were from a random sample of students.Click the icon to view the integer selection data.nQA1Step 1: HypothesizeHo: Humans are like random number generators and produce numbers in equal quantities.State the alternative hypothesis. Choose the correct answer below.@HEF2WZSince each expected count is, the condition that all the expected counts are 5 or more(Simplify your answer.)Step 3: Compute to CompareAn incomplete calculation of the chi-square statistic is shown below. Calculate the chi-square statistic.SXOA. H: Humans are not like random number generators and are equally likely to pick all the integers.OB. H: Humans are not like random number generators and are more likely to pick odd integers.OC. H₂ Humans are not like random number generators and are more likely to pick even integers.OD. H: Humans are not like random number generators and do not produce numbers in equal quantities.Step 2: PrepareChoose chi-square goodness of fit (GOF). Note that the only variable is Integer Chosen. Use a significance level of 0.05. We are assuming randomness. There were 36 students. Check that all theexpected counts are 5 or more.Hcommandx² = (4-72)² (15-7-2)²727.2Q#3ED4CRFS5VTGMacBook Pro6YB7HN8▼JGI9MInteger Selectioncommand;{Print[IFourFiveTimesInteger ChosenOneTwoThreeNext"1?1option41513104DoneDdelete

Accepted Answer

For The given data, we need do a goodness of fit test.