testing in this problem? mean proportion What is the level of significance? e the null and alternate hypotheses. Ho: p- 0.35; Hạ:p- 0.35 Ho: 4- 0.35; H: > 0.35 Hạ: p- 0.35; H: p> 0.35 Ho: H- 0.35; H: 0.35 Hạ: - 0.35; H < 0.35 Họ: p- 0.35; Hạ: p< 0.35 What sampling distribution will you use? What assumptions are you making The Student's t, since np > 5 and ng > 5. The Student's t, since np <5 and ng < 5. The standard normal, since np > 5 and ng > 5. The standard normal, since np < 5 and ng < 5. at is the value of the sample test statistic? (Round your answer to two decimal places.) Find (or estimate) the P-value. Pvalue > 0.250 0.125 < Pvalue < 0.250 0.050 < Pvalue < 0.125 0.025 < Pvalue < 0.050 0.005 < Prvalue < 0.025

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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 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?
O single mean
O single proportion
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: p = 0.35; H1: p » 0.35
O Ho: u = 0.35; H1: µ > 0.35
O Ho: p = 0.35; H: p > 0.35
O Ho: H = 0.35; H1: µ * 0.35
O Hp: u = 0.35; H1: µ < 0.35
O Ho: p = 0.35; Hị: p < 0.35
(b) What sampling distribution will you use? What assumptions are you making?
O The Student's t, since np > 5 and ng > 5.
O The Student's t, since np < 5 and ng < 5.
O The standard normal, since np > 5 and ng > 5.
O The standard normal, since np < 5 and ng < 5.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find (or estimate) the P-value.
O P-value > 0.250
O 0.125 < P-value < 0.250
O 0.050 < P-value < 0.125
O 0.025 < P-value < 0.050
O 0.005 < P-value < 0.025
O P-value < 0.005
Transcribed Image Text: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 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? O single mean O single proportion (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.35; H1: p » 0.35 O Ho: u = 0.35; H1: µ > 0.35 O Ho: p = 0.35; H: p > 0.35 O Ho: H = 0.35; H1: µ * 0.35 O Hp: u = 0.35; H1: µ < 0.35 O Ho: p = 0.35; Hị: p < 0.35 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t, since np > 5 and ng > 5. O The Student's t, since np < 5 and ng < 5. O The standard normal, since np > 5 and ng > 5. O The standard normal, since np < 5 and ng < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005 < P-value < 0.025 O P-value < 0.005
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