Annabel, a retail analyst, has been following Under Armour, Inc., the pioneer in the compression-gear market. Compression garments are meant to keep moisture away from a wearers body during athletic activities in warm and cool weather. Annabel believes that the Under Armour brand attracts a younger customer, whereas the more established companies, Nike and Adidas, draw an older clientele. In order to test her belief, she collects data on the age of the customers and whether or not they purchased Under Armour (Purchase; 1 for purchase, 0 otherwise). A portion of the data is shown in the accompanying table.

Purchase	Age
0	35
1	10
0	27

a-1. Use the appropriate statistical software to estimate a logistic regression model using Under Armour as the response variable and age as the predictor variable. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

	coefficient
intercept
age

a-2. Compute the predicted probability of an Under Armour purchase for a 40-year-old customer and a 50-year-old customer. (Round coefficient estimates to at least 4 decimal places and final answers to 2 decimal places.) Note: Report the probability between 0 and 1 (not in %).

	y^
40 year old customer
50 year old customer

b-1. Select the null and the alternative hypotheses to test Annabels belief that the Under Armour brand attracts a younger customer.

multiple choice 1

• H₀: ₁ 0; H_A: ₁

• H₀: ₁ 0; H_A: ₁ > 0

• H₀: ₁ 0; H_A: ₁ > 0

Find the p-value. multiple choice 2

• 0.05 %media:le1.jpg% p-value

• p-value %media:ge1.jpg% 0.10

• 0.02 %media:le1.jpg% p-value

• 0.01 %media:le1.jpg% p-value

• p-value

Does the Under Armour brand attract a younger customer at the 5% level?

multiple choice 3

• No, since we reject the null hypothesis.

• Yes, since we reject the null hypothesis.

• No, since we do not reject the null hypothesis.

• Yes, since we do not reject the null hypothesis.

• .

A 1 Purchase 2 0 Age 35 3 1 10 1 39 1 20 N00 6 0 42 0 31 36 1 9 1 7 21 10 0 1 31 11 12 13 1 43 1 25 14 0 27 1 15 16 1 37 32 24 17 0 18 1 43 19 1 43 20 1 33 21 1 19 22 1 33 23 1 38 24 1 30 25 1 46 26 1 42 27 1 35 1 28 29 41 1 30 1 27 21 27 31 0 32 33 A 1 Purchase 2 0 Age 35 3 1 10 1 39 1 20 N00 6 0 42 0 31 36 1 9 1 7 21 10 0 1 31 11 12 13 1 43 1 25 14 0 27 1 15 16 1 37 32 24 17 0 18 1 43 19 1 43 20 1 33 21 1 19 22 1 33 23 1 38 24 1 30 25 1 46 26 1 42 27 1 35 1 28 29 41 1 30 1 27 21 27 31 0 32 33