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.

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.