Professor Jennings claims that only 35 of the students at Fl

Professor Jennings claims that only 35% of the students at Flora College work while professor has underestimated the number of students with part-time that 36 have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance. attending school. Dean Renata thinks that the or full-time jobs. A random sample of 82 students shows What are we testing in this problem? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses () Mo: = 0.35; Hi : p > 0.35 Mo: . 0.35; H1: 0.35 Mo: -0.35; H1: +0.35 O Mo: \" 0.35; HI : p 5 and nq>s O The standard normal, since np 5 and ng>S O The Student\'s t, since np

Solution

since percentage is used, we use single proportion test.

level of significance is 5% which i mentioned in the question.

H0:P=0.35

H1:P>0.35

b) Standard normal distribution since np>5, nq<5

test statisitc is z=1.69

c) p value is 0.045

d) At alpha=5% we reject the null hypothesis and conclude that the data are statistically significant.

e) There is sufficient evidence at 5% level to conclude that more than 35% of the students have jobs.