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alekssr [168]
3 years ago
7

Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that th

e professor has underestimated the number of students with part-time or full-time jobs. A random sample of 77 students shows that 37 have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance. What are we testing in this problem?
Mathematics
1 answer:
krek1111 [17]3 years ago
3 0

Answer:

Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs, is statistically evident.

Step-by-step explanation:

Here we are testing whether proportion of the students at Flora College who work while attending school is 35% or more than 35%

H_0: p = 0.35\\H_a: p >0.35

(Right tailed test at 5% level of significance)

Sample proportion p = \frac{37}{77} \\=0.4805

Assuming H0 to be true, std error of proportion = \sqrt{0.35*0.65/77} \\=0.0544

p difference = 0.1305

Z = test statistic = 2.40

p value for one tailed = 0.0082

Since p < 0.05 we reject H0

Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs, is statistically evident.

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