A research center claims that 50% of people believe that drivers should be allowed to use cellular phones with hands free devices while driving. In a random sample of 150 U.S. adults 58% say that drivers should be allowed to use cellular phones with hands free devices while driving. At a=0.01, is there enough evidence to reject the centers claim?
State null, alternative, identify claim
Fine critical and critical regions
Compute test
make decision.
1 answer
You can use a one-sample proportional z-test for your data. (Test sample proportion = .58 and sample size = 150) Find the critical value in the appropriate table at .01 level of significance for a two-tailed test. Compare the test statistic you calculate to the critical value from the table. If the test statistic exceeds the critical value, reject the null. If the test statistic does not exceed the critical value, do not reject the null. You can draw your conclusions from there.