Hello. Could you please help me with this practice homework I was not present for this

5 7. (SHOW WORK AND CLEARLY STATE THE ANSWER) Suppose the Penn State student population is 60% female and 40% male. Then, if a sample of 1000 students yields 582 females and 418 males, can we conclude that the sample is (random and) representative of the population? That is, how "good" do the data "fit" the assumed probability model of 60% female and 40% male? Use a significance level of a= 0.01 State what test are you using/ State null and alternative hypothesis/ Calculate the test statistics/ State your decision whether the null hypothesis should be rejected (show the inequality of the two values that made you arrive to this decision)