Question

a survey by Men's Health magazine claims that 14% of all men said that they used exercise to relieve stress. a random sample of 540 men was selected, and 10% said that they used exercise to relieve stress. test the magazine's claim. use α=0.10

Answer 1

Solution :

This is left tailed test .

The null and alternative hypothesis is

H0 : p = 0.14

Ha : p < 0.14

= 0.10

1 - P0 = 0.86

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.10 - 0.14 / [(0.14 * 0.86) / 540]

z = -2.68

P-value = 0.0037

= 0.10

P-value <

Reject the null hypothesis .

There is sufficient evidence to support the claim.