Question

Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 81 students shows that 39 have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance.

What is the value of the sample test statistic? (Round your answer to two decimal places.)

The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load. A sample of nine motors was tested, and it was found that the mean current was x = 1.26 A, with a sample standard deviation of s = 0.44 A. Do the data indicate that the Toylot claim of 0.8 A is too low? (Use a 1% level of significance.)

What is the value of the sample test statistic? (Round your answer to three decimal places.)

Answer 1

1)

Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 81 students shows that 39 have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance.

Claim: more than 35% of the students have jobs.

The null and alternative hypothesis is

H0: P = 0.35

H1: P > 0.35

Level of significance = 0.05

Sample size = n = 81

x = 39

Test statistic is

P-value = P(Z >2.48) = 0.0066

P-value < 0.05 we reject null hypothesis.

Conclusion: More than 35% of the students have jobs.

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