Question

It is claimed that 35% of Americans go out for dinner once a week. You wish to test this claim. In a sample of 90 people, 38 of them went out for dinner in the last week. What is H₁? Please select an answer below.

a. µ = 35%

b. µ > 35%

c. µ ≠ 35%

d. µ ≠ 0.35

e. µ > 0.35

f. µ < 0.35

Answer 1

Answer

Claim is that  35% of Americans go out for dinner once a week

so, we wish to test whether it is equal to 35% or not equal to 35%

so, null hypothesis is

and alternate hypothess is

option D is correct because it is a two tailed hypothesis test

(There should be a  proportion p instead of in the hypothesis because we have percentage but not the mean value. None of the option include p, so I just answered it and picked the one option)