Age at first marriage, part ii. exercise 4.16 presents the results of a 2006 - 2010 survey showing that the average age of women at first marriage is 23.44. suppose a social scientist believes that this value has increased in 2012, but she would also be interested if she found a decrease. below is how she set up her hypotheses. indicate any errors you see. h0 : ¯x = 23.44 years old ha : ¯x > 23.44 years old 4.21

Question

Mathematics

Roy Gallagher

23 January, 19:02

Age at first marriage, part ii. exercise 4.16 presents the results of a 2006 - 2010 survey showing that the average age of women at first marriage is 23.44. suppose a social scientist believes that this value has increased in 2012, but she would also be interested if she found a decrease. below is how she set up her hypotheses. indicate any errors you see. h0 : ¯x = 23.44 years old ha : ¯x > 23.44 years old 4.21

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Byrd · Answer 1

She is only looking at the data greater that the mean value, thus the proper test recommended in this is to test via the two sided or two tailed test.

Step-by-step explanation:

Following is the error in her test

She is only looking at if the data were greater than 23.44 years old at time of first marriage and that is what her alternative hypothesis is that she is currently testing would be. She would instead need to conduct a two sided test, or a two sided t-test, to get the results that she wants and in that event she would have to instead make her alternative hypothesis not equal to 23.44. This would fix her error in her hypotheses.