Question

In 2014, 12% of adults said they learned Japanese by watching anime and having the subtitles in English. A recent survey found that 156 of 800 adults said they learned Japanese by watching anime and having the subtitles in English. Test the claim to see if there is a differences from the 12% in today's era at a 0.05 level of significance.

Answer 1

Answer:

Step-by-step explanation:

To Test :-

H0 :- P = 0.12

H1 :- P ≠ 0.12

P = X / n = 156/800 = 0.195

Test Statistic :-

Z = ( P - P0 ) / ( √((P0 * q0)/n)

Z = ( 0.195 - 0.12 ) / ( √(( 0.12 * 0.88) /800))

Z = 6.5279

Test Criteria :-

Reject null hypothesis if Z > Z(α/2)

Z(α/2) = Z(0.05/2) = 1.96

Z > Z(α/2) = 6.5279 > 1.96, hence we reject the null hypothesis

Conclusion :- We Reject H0  

There is sufficient evidence to support the claim that there is a difference.