Outline your experiment. You will NOT have to actually perform the experiment, you are just creating...

Outline your experiment. You will NOT have to actually perform the experiment, you are just creating the structure of the experiment you would perform to test whether your superstition (lucky shirt) is “true”.

Dependent variable - Whether or not you feel lucky.

Independent variable - Shirt ('Regular' or 'Lucky')

QUESTION: In one or two brief but clearly written paragraphs, describe how you would conduct this experiment. Include operational definitions, number of participants, where the experiment would take place (High School), and how you can be confident that the results are due to your manipulation of the independent variable.

Solutions

Expert Solution

(1) for given data, we conduct experiment to test whether our superstition is true. In this experiment we have to find relationship between two categorical variables ( attributes) so, we use chisquare test for independence of attributes. For testing we select sample based on two attributes A and B. Here, A= wheter or not you feel lucky. , B = shirt is regular or lucky. Attribute A is divided into 2 classes as A1=you feel lucky. And A2= you not feel lucky. Attribute B is divided into 2 classes B1= shirt is regular. , B2= shirt is lucky. Then, we get data in the form of 2*2 contigency table. Then define null hypothesis vs alternative hypothesis as below: H0=two attribute A and B are independent. H1= two attribute A and B are dependent. Then, Find test statistic ( chisquare) under null hypothesis and calculate value of test statistic as per given sample. After that using chisquare table find critical value of chisquare statistic for given degrees of freedom at 5% level of significance. Then compare calculated and critical value of chisquare statistic. And take decision about rejection of null hypothesis. (2) operational definations : * Attribute= categorical variable which canot be count in number. * contigency table: a table shows the distribution s in frequency of one variable in rows and other variable in columns. Used to study dependency between two variables. * degrees of freedom- number of independent obesrvations * level of significance - probability of rejecting null hypothesis when it is true. * test statistic - random variable calcukated from sample data which is used to determine whether to reject null hypothesis. (3) no. Of participants: we take sample of 30 students to conduct given experiment. (4) experiment is takes place one of the high school in city. (5) if calculated value of chisquare statistic is less than critical (table) value. Then we accept H0 and therefore two attribues are independent.

orchestra answered 1 year ago

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