Posted by Mark on .
A training center claims that 75% of people taking national exam on achievement. In a sample of 90 people who took the exam only 39 have passed the exam. Use hypothesis testing to determine whether the training center claim is justified. Use 5% level of Significance

Statistic 
MathGuru,
You can use a onesample proportional ztest for your data. (Test sample proportion = 39/90 and sample size = 90) Convert fractions to decimals to use in the ztest. Find the critical value in the appropriate table at .05 level of significance for a twotailed 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.