Question

In a survey of 500 students aged 12-18, it is found that 82% use computers in school. Test the claim that the proportion of students aged 12-18 who use computers in school is equal to ¾. α = 0.03

Answer 1

Solution :

This hypothesis test is a two tailed test .

The null and alternative hypothesis is

H₀ : p =0.75

H_a : p 0.75

= 0.82

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.82 - 0.75 / [(0.75 * 0.25) / 500]

= 3.615

P-value = 0.0003

= 0.03

P-value <

Reject the null hypothesis .

There is sufficient evidence to suggest that    the proportion of students aged 12-18 who use computers in school is equal to ¾