A real estate software program gives the estimated values of homes and lists characteristics of the homes. A prospective home buyer used the program to collect a sample of twenty-five homes and recorded the estimated value of the homes and how many bathrooms they contain. The prospective home buyer wants to investigate whether there is an association between the number of bathrooms a home contains and the estimated value of the home. Assuming all conditions for inference are met, which of the following significance tests should be used for the investigation?A. A two-sample z-test for a difference between proportionsB. A linear regression t-test for slopeC. A matched pairs t-test for a mean differenceD. A two-sample t-test for a difference between meansE. A chi-square test of independence

E - Chi-Square Test of Independence

Step-by-step explanation:

- The Two-Sample Z-test is used to compare the mean of two samples in order to find out the possibility that they come from the same population.

-A linear regression t-test for slope is used to carry out hypothesis tests on the regression coefficients which are obtained in simple linear regression.

-A matched-pairs t-test is used to test whether there is a significant difference in mean between two sets of paired data.

- A two sample t-test is used to test whether the unknown population mean found in two groups are either equal or not equal.

-Chi-Square Test of Independence is a non-parametric test that is used to find out whether there is an association between categorical variables. Simply put, to find out if the categorical variables are independent or related.

From the question, the prospective home buyer is trying to investigate whether there is an association between the two variables which are the number of bathrooms contained in home and the estimated value of the home.

This means he is trying to find out if both variables are associated i.e.either independent or related. This is what Chi-Square Test of Independence does.

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step-by-step explanation: