Question

9. 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 the12% in today’s era at a 0.05 level of significance. (For full credit need to draw the curve and shade the area)

H0 :

H1 :

Test Stat:

Conclusion:

Answer 1

Total number of sample (n) = 800
number of favourable events (X) = 156


We are interested in testing the hypothesis

Decision Rule: Reject the null hypothesis if the test statistic value is less than the critical value -1.959963984540054 or greater than the critical value 1.959963984540054

Conclusion: The statistic value, 6.5279 is greater than the critical value 1.959963984540054. Hence, reject the null hypothesis.