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A study conducted last year found that only 9% of all workers belong to a union. Over the past year unions have made efforts to

A study conducted last year found that only 9% of all workers belong to a union. Over the past year unions have made efforts to increase union membership. A sample of 70 workers is taken today and 11 of them belong to a union. At the 5% significance level, determine if the proportion of workers who belong to a union has increased over the last year.

  • From options #1 to #4, select the correct hypotheses for this test.
  • From options #5 to #8, select the correct p-value for this test.
  • From options #9 to #12, select the correct conclusion for this test.

1) H0:p=18%of workers arein a union

Ha:p<18%of workers are in a union

2) H0:p=9%ofworkersareinaunion

Ha:p9%ofworkersareinaunion

3) H0:p=9%ofworkersareinaunion

Ha:p>9%ofworkersareinaunion

4) H0:p=9%ofworkersareinaunion

Ha:p<9%ofworkersareinaunion

5) 0.0131

6) 0.262

7) 0.0125

8) 0.0248

9) Based on the sample, there is enough evidence to conclude that the proportion of workers that belong to a union has increased.

10) The number of unionized workers has increased.

11) The number of unionized workers has not increased.

12) Based on the sample, there is not enough evidence to conclude that the proportion of workers that belong to a union has increased.

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