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Suppose you know the population average wage in the manufacturing industry in California is $24.66 per hour. You take a survey 30 people that work in manufacturing in Utah to answer the following research question. Research Question: Is the population average manufacturing wage in Utah less than $24.66 per hour, the population average manufacturing wage in the California? You know the population standard deviation for manufacturing wages in Utah is $2.35 per hour. Suppose you are using a signicance level of 0.01 or 1% (a = 0.01). What is the probability that you will correctly reject the null hypothesis if the true average manufacturing wage in Utah is $24 per hour? (In other words, what is the power of the test if the true average wage in Utah is $24 per hour?) Round your answer to three decimal places