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The Ministry of Education has announced that, if there is strong evidence showing that the population...

The Ministry of Education has announced that, if there is strong evidence showing that the population proportion is 91% for private high schools recruiting new teachers, then the Ministry will also increase the recruitment of new teachers in public high schools. A survey of 90 personnel directors from private high schools revealed that 81 of them would be hiring new teachers over the next three months. At the 0.10 significance level, can we conclude that the population proportion of new recruits by private high schools is less than 91%?

a. What is the decision rule?

  1. Compute the value of the test statistic.

  1. What is your decision regarding the null hypothesis?

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