1. What is r for this problem?2. R obtained is ...a) beyond or b) not beyond... r crit. [Reject] the null hypothesis. 3. There is ... a) a significant or b) no significant .. relationship between number of choices and difficulty making a decision.4. What is the proportion of variance accounted for? Computational Question CResearchers wonder if having more choices on a menu is related to how hard it is to make a decisionabout something. They survey customers in restaurants and find the data below to explore thisrelationship. Complete the steps of hypothesis testing to come to a conclusion about this researchquestion and calculate the proportion of variance accounted for.Difficulty of decisionNumber of choices (x)making (y)64344546816312.

Name: 1. What is r for this problem?2. R obtained is ...a) beyond or b) not
Uploaded: 2024-03-20T07:07:12.000Z
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Description: 1. What is r for this problem?2. R obtained is ...a) beyond or b) not beyond... r crit. [Reject] the null hypothesis. 3. There is ... a) a significant or b) no significant .. relationship between number of choices and difficulty making a decision.4

Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have solved only the first three subparts for you. If you need any specific subpart to be answered, please re-submit the question by specifying the subpart number or name.(1). Find the value of linear correlation coefficient: The data represents the values of the variables x = Number of choices and y = difficulty of decision making. The values are obtained in the table given below: Therefore, the required values are Σx = 40, Σy = 39, Σx2 = 206, Σy2 = 203 and Σxy = 197. The correlation coefficient is obtained as given below: Thus, the sample correlation coefficient is r = 0.764.(b). Find the critical values of r: Since, the level of significance is not specified, the prior level of significance α = 0.05 can be used. The sample size is n = 9. The degrees of freedom is d.f = n – 2 = 9 – 2 = 7. From the table of critical values of Pearson correlation, the critical value corresponding to α = 0.05 and d.f = 7 is 0.666. Thus, the critical values of r are -0.666 and 0.666. The correlation coefficient (= 0.764) is greater than the critical value (= 0.666). The obtained r is beyond the r critical. (c). Comment on the significance of correlation coefficient: Since, r is greater than the critical value, the correlation is significant. Thus, there is a significant relationship between number of choices and difficulty making a decision.