Question
In: Statistics and Probability
In 2015, the pew research center found that 59% of men and women believe online dating...
In 2015, the pew research center found that 59% of men and women believe online dating is a great venue for meeting people. You are interested in finding out if this number is the same for college students. You take a random sample of 220 college students and find that 140 of them said they believed that online dating is a great venue for meeting people. Test this claim with a 10% significance level using PHANTOMS.
Solutions
Expert Solution
Let the population proportion who find online dating is a great venue for meeting people be p. The null and the alternative hypotheses are given by
Given the sample size (n)=220 and the sample proportion is given by
Now the test statistic is given by
The test statistic under the null hypothesis follows standard normal distribution.
The critical value is obtained from the Biometrika table as
As the observed value is greater than the critical value, the null hypothesis is rejected at 10% level of significance and hence it can be concluded at 10% level of significance that population proportion who find online dating is a great venue for meeting people is not the same for the college students.
Hopefully this will help you. In case of any query, do comment. If you are satisfied with the answer, give it a like. Thanks.
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