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Homework answers / question archive / Identify the null hypothesis , alternative hypothesis, test statistic, p-value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim
Identify the null hypothesis , alternative hypothesis, test statistic, p-value or critical
value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim.
Travel Through the Internet - Among 734 randomly selected internet users, it was found that 360 of them use the internet for making travel plans (based on data from a gallop poll). Use a 0.01 significance level to test the claim that among internet users, less than 50% use it for making travel plans. Are the results important for travel agents?
please see the attached file.
hypothesis testing
Identify the null hypothesis , alternative hypothesis, test statistic, p-value or critical
value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim.
Travel Through the internet - Among 734 randomly selected internet users, it was found that 360 of them use the internet for making travel plans (based on data from a gallop poll). Use a 0.01 significance level to test the claim that among internet users, less than 50% use it for making travel plans. Are the results important for travel agents?
Answer
The null hypothesis H0: Proportion of internet users who use internet for making travel plan is greater than or equal to 0.5
The Alternative hypothesis H1: Proportion of internet users who use internet for making travel plan is less than 0.5
Test Statistic
Where p is the sample proportion and p0 = 0.50
Rejection Criteria: reject the null hypothesis, I f the calculated value of Z is less than the critical value of Z with .01 significance level
Details
Sample proportion = 0.4904632
Test Statistic = -0.5167
Critical Z = -2.3264
P value = 0.3027
Conclusion: Fail to reject the null hypothesis. The sample doesn't provide enough evidence to support the claim
The above conclusion is very important to travel agents as more than 50% internet uses use internet for travel planning. Travel agents can include advertisements in internet to attract more customers.