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In: Statistics and Probability

National data indicates that​ 35% of households own a desktop computer. In a random sample of...

National data indicates that​ 35% of households own a desktop computer. In a random

sample of 570​ households, 40% owned a desktop computer. Does this provide enough

evidence to show a difference in the proportion of households that own a​ desktop?

Identify the appropriate null and alternative hypotheses.

A. H0: p= 0.35 Ha​: p ≠ 0.35

B. H0​: p​ = 0.40     Ha​:p​ > 0.40

C. H0​:p​ = 0.35     Ha​:p​ < 0.35

D. H0​:p​ = 0.40     Ha​:p ≠ 0.40

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Expert Solution

## Q ) National data indicates that​ 35% of households own a desktop computer. In a random

sample of 570​ households, 40% owned a desktop computer. Does this provide enough

evidence to show a difference in the proportion of households that own a​ desktop?

Identify the appropriate null and alternative hypotheses.

Answer : Here p = 35 % = 0.35 ( Population proportion )

n = sample size is 570 and

40% owned a desktop computer ie p_hat = 0.40 ( sample proportion )

Claim : Does this provide enough evidence to show a difference in the proportion of households that own a​ desktop?

A. H0: p= 0.35 Ha​: p ≠ 0.35

Correct option is A

orchestra answered 2 years ago
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