Question

Research conducted a few years ago showed that 35% of UCLA students had travelled outside the US. UCLA has recently implemented a new study abroad program and results of a new survey show that out of the 100 randomly sampled students 40 have travelled abroad. Is there significant evidence to suggest that the proportion of students at UCLA who have travelled abroad has increased after the implementation of the study abroad program? Use a .01 significance level.

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H₀ : p = 0.35

H_a : p > 0.35

= x / n = 40 / 100 = 0.40

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.40 - 0.35 / [(0.35 * 0.65) / 100]

= 1.048

P-value = 0.1473

= 0.01

P-value >

Fail to reject the null hypothesis .

There is not significant evidence to suggest that the proportion of students at UCLA who have travelle'd abroad has increased after the implementation of the study abroad program