2c v hnocites Inc. concluded that men are twice as likely as women to play on a

Question

2c v hnocites Inc. concluded that men are twice as likely as women to play on a sample of 100 men and 100 women. Assume alpha = A survey by Rc lme video gmes. The survey was based 0.05, Tez-(ritical 1.64 The results are peovided below Difference : 26% 95% a :.13 to .38 Z-critical 3.8S p-value:0.0001 Questions (a) Establish the hypotheses (Ho and HI) for the problem above. (b) Explain the statistical decision rule. Do you reject the null hypothesi you reject the null hypothesis? Why yes/no. Provide three reasons. (c) Explain the managerial conclusion from the results.

Explanation / Answer

Solution

(a) p1 is the proportion of men play video games and,

p2 is the proportion of women play video games

Null hypothesis H0 : p1 - 2p2 <0

Alternate hypothesis H1 : p1 - 2p2 >=0

(b) Reject the null hypothesis , reasons

- 95% of the confidence interval is significant and hence does not contain 0.

- z critical value calculated value i.e. 3.85> z table value i.e. 1.64

- P value (0.0001)< alpha (0.05)

(c) Hence the conclusion is we have sufficient evidence to claim that men are twice as likey as women to play video games

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