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Forbes reports that women in general trust recommendations from Pinterest more than recommendations from any other social network platform. But does trust in Pinterest differ by gender? The following sample data show the number of women and men who state in a recent survey that they trust recommendations made on Pinterest.

SampleTrust recommendations made on pinterest

Women: 150117

Men: 170102

1.) We want to determine whether trust in Pinterest differ by gender. Formulate the null and the alternative hypotheses. Use 1 to represent women and 2 to represent men.

H0:

Ha:

a.)Null: p1 – p2 ≥ 0; Alternative: p1 – p2 < 0

b.)Null: p1 – p2 ≤ 0; Alternative: p1 – p2 > 0

c.)Null: p1 – p2 = 0 ; Alternative: p1 – p2 ≠ 0

2.) What the test statistics? You probably need to find the pooled proportion first. 

Pooled proportion is ___________. 

a.)0.6

b.)0.6844

c.)0.78

3.)Test statistic is ________.

a.)1.28

b.)3.46

c.)4.36

d.)66.41

4.) Using the p-value approach, what is the p-value?

a.)p-value is close to 0

b.)p-value is between 0.05 and 0.10

c.)p-value is between 0.1 and 0.5

d.)p-value is between 0.5 and 0.9

e.)p-value is more than 0.9