4 the following table summarizes the result of a study on people being denied a mortgage applica

Name: 4 the following table summarizes the result of a study on people being denied a mortgage application by one of the main banking chains in the twin cities the data is the number of people in 22757
Uploaded: 2023-06-01T19:27:51-08:00
Duration: 1 min 45 s
Channel: Numerade
Description: 4 the following table summarizes the result of a study on people being denied a mortgage application by one of the main banking chains in the twin cities the data is the number of people in 22757

We want to run a hypothesis test to see whether the 16 % is an accurate estimate now or if it is

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A government -sponsored organization that was established in 1938 after the Depression to provid

P value represents the probability of getting results as extreme as the sample assuming the null

Question

The following table summarizes the results of a study on people being denied a mortgage application by one of the main banking chains in the Twin Cities. The data represents the number of people in one of four racial/ethnic categories who had applied for a first mortgage on a home purchase during the period from July 1998 to July 1999. Source: Minneapolis Star and Tribune. Race/Ethnicity Application Approved Application Denied Caucasian 2766 392 African-American 344 83 Latinx 367 89 Asian/Pacific Islander 439 72 a. Write a sentence for the null hypothesis and also for the alternative hypothesis to test whether the status of being approved or denied is independent of the person's ethnicity. H0: The status of being approved or denied is independent of the person's ethnicity. H1: The status of being approved or denied is dependent on the person's ethnicity. b. Enter the table into a matrix on your calculator (see reference page or: 2nd x-1 is Matrix, choose Edit and enter the number of rows, then number of columns, then each entry in the table). Then choose Ï‡2-Test from the STAT Tests menu. What is the value of the Ï‡2 statistics? Ï‡2 = _____ What is the value of the p-value? p-value = _ c. Write a conclusion about the results of the test using both statistical language and language that a non-statistics person would understand.

The following table summarizes the results of a study on people being denied a mortgage application by one of the main banking chains in the Twin Cities. The data represents the number of people in one of four racial/ethnic categories who had applied for a first mortgage on a home purchase during the period from July 1998 to July 1999.

Source: Minneapolis Star and Tribune.

Race/Ethnicity Application Approved Application Denied
Caucasian 2766 392
African-American 344 83
Latinx 367 89
Asian/Pacific Islander 439 72

a. Write a sentence for the null hypothesis and also for the alternative hypothesis to test whether the status of being approved or denied is independent of the person's ethnicity.

H0: The status of being approved or denied is independent of the person's ethnicity.
H1: The status of being approved or denied is dependent on the person's ethnicity.

b. Enter the table into a matrix on your calculator (see reference page or: 2nd x-1 is Matrix, choose Edit and enter the number of rows, then number of columns, then each entry in the table). Then choose Ï‡2-Test from the STAT Tests menu.

What is the value of the Ï‡2 statistics? Ï‡2 = _______________________
What is the value of the p-value? p-value = ___________________

c. Write a conclusion about the results of the test using both statistical language and language that a non-statistics person would understand.

Added by Charlene V.