Question

Language Survey About 42.3% of Californians speak a language other than English at home. Using your class as the sample, conduct a hypothesis test to determine if the percent of students at De Anza College that speak a language other than English at home is different from 42.3%.

DATA TO USE: 21 out of 34 students in the sample speak a language other than English at home

A) p-value = ______________ In 1 – 2 complete sentences, explain what the p-value means for this problem.

B) Use the previous information to sketch a picture of this situation. CLEARLY label and scale the horizontal

axis and shade the region(s) corresponding to the p-value. The values of your sample statistic and the

hypothesized value of the population parameter should be on the axis.

C) Indicate the correct decision (“reject the null hypothesis” or “do not reject the null hypothesis”), the reason

for it, and write an appropriate conclusion, using COMPLETE SENTENCES.

Decision:

Conclusion:

D) Construct a 95% Confidence Interval for the true mean or proportion. Include a sketch of the graph of the

situation. Label the point estimate and the lower and upper bounds of the Confidence Interval.

Confidence Interval: ( ___________________ , ____________________ )

E) Interpret the confidence interval in a complete sentence.

Answer 1

we are 95% confident that the proportion that speak a language other than English at home between 45.4% and 78.1%