Question

1. A poll taken by the Software Usability Research Laboratory surveyed 341 video gamers, and 110 of them said that they prefer playing games on a console, rather than a computer or hand-held device. An executive at a game console manufacturing company claims that more than 25% of gamers prefer consoles. Does the poll provide convincing evidence that the claim is true? Use α = .01 level of significance. PLEASE SHOW ALL 4 STEPS OF THE HYPOTHESIS TEST.

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H₀ : p =0.25

H_a : p > 0.25

= x / n = 110 / 341 = 0.3226

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.3226 - 0.25 / [(0.25 * 0.75) / 341]

= 3.095

P-value = 0.0010

= 0.01

P-value <

Reject the null hypothesis .

There is sufficient evidence to suggest that, an executive at a game console manufacturing company claims that more than 25% of gamer's prefer consoles