A research center claims that % of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of adults in that country, % say that they would travel into space on a commercial flight if they could afford it. At , is there enough evidence to reject the research

Complete Question

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 700 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At , is there enough evidence to reject the research center's claim

Yes there is  sufficient evidence to reject the research center's claim.

Step-by-step explanation:

From the question we are told that

     The population proportion is  p = 0.30

      The sample proportion is  

       The  sample size is  n = 700

The null hypothesis is  

 The  alternative hypothesis is  

Here we are going to be making use of  level of significance  =  0.05 to carry out this test

Now we will obtain the critical value of   from the normal distribution table , the value is  

 Generally the test statistics is mathematically represented as

substituting values

Looking at the values of t  and   we see that hence the null hypothesis is rejected

 Thus we can conclude that there is  sufficient evidence to reject the research center's claim.

answer:

step-by-step explanation: