1. Test the assertion (at alpha 0.05) that it rains more often on weekends than it does on weekdays if in a sample of 31 rainy days, 10 were either saturday or sunday?

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is my answer right?

n = 31

p = 2/7

q = 5/7

h0: p = 2/7

h1: p < 2/7

the zscore turns out to be 0.45, so we reject h0 and accept 1 (does not rain more often on weekends)?

2. In a taste test, 15 of 25 people choose beverage X over beverage y. Is this significant evidence to conclude that people prefer X to Y?

is p = 1/2 in this one and i would just make up an alpha value like 0.02?