CLU expected the following percentages to apply to the graduating class of 2019in regards to major.

Percentages

Business 32%

Science 25%

Humanities 20%

Social Science 12%

Creative Arts 11%

At graduation, the distribution was observed and the data is in tab "Distribution".*SCREEN SHOT BELOW*We want to test if there is a significant difference between the expected and actual number of students in each major.

1. State the null and alternative hypotheses and test the hypothesis at the 3% level of significance.

Ho:All the means are equal

Ha: Not all means are equal

OR

H_O: p₁= .32, p₂= .25, p₃= .20, p₄= .12, p₅= .11

H_A: p₁?.32, p₂?.25, p₃?.20, p₄?.12, p₅? .11

Major Number of Students Business 715 Science 550 Humanities 400 Social Science 325 Creative Arts 275