Question

Sony claims that 55% of of the world population have their products. You think it’s different. You simple random sample x “159” people and y “76” say that they have products.

Is there sufficient evidence at the 5% significance level (α = .05) to indicate that the percent of people with products is different than 55%

show all work (or tell me what you plug into your calculator). Use specific words like you would in class.

Ho:

H_a:

Test statistic:

p-val:

Statistical conclusion:

Conclusion in plain English:

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H₀ : p = 0.55

H_a : p 0.55

= x / n = 76 / 159 = 0.4780

Test statistic = z

= - P₀ / [P_{0 *} (1 - P₀ ) / n]

= 0.4780 - 0.55 / [(0.55 * 0.45) / 159]

= -1.825

P-value = 0.068

= 0.05

P-value >

Fail to reject the null hypothesis .

There is sufficient evidence to suggest that the percent of people with products is different than 55%