Question

In: Math

A survey of 1320 people who took trips revealed that 108 of them included a visit...

A survey of 1320 people who took trips revealed that 108 of them included a visit to a theme park. Based on those survey results, a management consultant claims that less than 9 % of trips include a theme park visit. Test this claim using the ?=0.05

significance level.

Find

(a) The test statistic

(b) The P-value

(c) A or B in conclusion
A. There is not sufficient evidence to support the claim that less than 9 % of trips include a theme park visit.
B. There is sufficient evidence to support the claim that less than 9 % of trips include a theme park visit.

Expert Solution

Null hypothesis

Alternative hypothesis

We have for given example,
Population proportion value is =0.09
x=108

n=1320
Level of significance =   0.01
Estimate for sample proportion

a)

Z test statistic formula for proportion

b) P value = 0.1495..................by using Z table or by using Excel command NORMSDIST(-1.04)

c)

A. There is not sufficient evidence to support the claim that less than 9 % of trips include a theme park visit.

Since , P value is = 0.1495 >0.05

milcah answered 3 months ago

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