Question

In: Statistics and Probability

A research center claims that 30​% of adults in a certain country would travel into space...

A research center claims that

30​%

of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of

800

adults in that​ country,

33​%

say that they would travel into space on a commercial flight if they could afford it. At

alphaαequals=0.01​,

is there enough evidence to reject the research​ center's claim? Complete parts​ (a) through​ (d) below. need Z= and P=

Solutions

Expert Solution

Null hypothesis      

               
                      
Alternative hypothesis

                   
                      
We have for given example,                      
Population proportion value is =0.3                  
                  
                      
n=800                  
Level of significance =   0.01                  
Estimate for sample proportion
                      
Z test statistic formula for proportion


=1.85      

P value is =0.0643..............by using Z table or by using Excel command =2*(1-NORMSDIST(1.85))

P value is = 0.0643 > 0.01

Therefore, we fail to reject H0 at

  
                      
          


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