An agency reports that 11.4% of workers in a particular country belonged to unions. Suppose a sample of 400 workers is collected to determine whether union efforts to organize have increased union membersi (a) Formulate the hypotheses that can be used to determine whether union membership has increased. O Ho: P2 0.114 Hgip < 0.114 O Ho: PS 0.114 H:p > 0.114 O Ho: P< 0.114 Haip 2 0.114 O Ho: p > 0.114 Ha:Ps 0.114 Hoip = 0.114 H:p + 0.114 (b) If the sample results show that 52 of the workers belonged to unions, what is the p-value for your hypothesis test? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At a = 0.05, what is your conclusion? O Reject H. There is sufficient evidence to conclude that there has been an increase in union membership. O Reject H. There is insufficient evidence to conclude that there has been an increase in union membership. O Do not reject Ho. There is insufficient evidence to conclude that there has been an increase in union membership. O Do not reject Ho. There is sufficient evidence to conclude that there has been an increase in union membership.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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An agency reports that 11.4% of workers in a particular country belonged to unions. Suppose a sample of 400 workers is collected to determine whether union efforts to organize have increased union membership.
(a) Formulate the hypotheses that can be used to determine whether union membership has increased.
Ho: p 2 0.114
На: р<0.114
Ho: ps 0.114
Hai p > 0.114
Hо: р< 0.114
H: p 2 0.114
Ho:p > 0.114
H: p< 0.114
Ho: p = 0.114
Ha: p + 0.114
(b) If the sample results show that 52 of the workers belonged to unions, what is the p-value for your hypothesis test?
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
(c) At a = 0.05, what is your conclusion?
O Reject Ho: There is sufficient evidence to conclude that there has been an increase in union membership.
O Reject H. There is insufficient evidence to conclude that there has been an increase in union membership.
Do not reject Ho. There is insufficient evidence to conclude that there has been an increase in union membership.
O Do not reject Ho. There is sufficient evidence to conclude that there has been an increase in union membership.
Transcribed Image Text:An agency reports that 11.4% of workers in a particular country belonged to unions. Suppose a sample of 400 workers is collected to determine whether union efforts to organize have increased union membership. (a) Formulate the hypotheses that can be used to determine whether union membership has increased. Ho: p 2 0.114 На: р<0.114 Ho: ps 0.114 Hai p > 0.114 Hо: р< 0.114 H: p 2 0.114 Ho:p > 0.114 H: p< 0.114 Ho: p = 0.114 Ha: p + 0.114 (b) If the sample results show that 52 of the workers belonged to unions, what is the p-value for your hypothesis test? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At a = 0.05, what is your conclusion? O Reject Ho: There is sufficient evidence to conclude that there has been an increase in union membership. O Reject H. There is insufficient evidence to conclude that there has been an increase in union membership. Do not reject Ho. There is insufficient evidence to conclude that there has been an increase in union membership. O Do not reject Ho. There is sufficient evidence to conclude that there has been an increase in union membership.
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