A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 51 lawyers selected from the city reveals a mean annual salary of $ 105000. Assume that o = $ 17300, and that the test is to be made at the 2% significance level. What are the critical values of z? O -1.28 and 1.28 O -2.05 and 2.05 O -1.645 and 1.645 O -2.33 and 2.33 What is the value of the test statistic, z, rounded to three decimal places? i What is the p-value for this hypothesis test, rounded to four decimal places? i Should you reject or fail to reject the null hypothesis in this test?

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A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 51 lawyers
selected from the city reveals a mean annual salary of $ 105000. Assume that o = $ 17300, and that the test is to be made at the 2%
significance level.
What are the critical values of z?
O -1.28 and 1.28
O -2.05 and 2.05
O -1.645 and 1.645
O -2.33 and 2.33
What is the value of the test statistic, z, rounded to three decimal places?
i
What is the p-value for this hypothesis test, rounded to four decimal places?
i
Should you reject or fail to reject the null hypothesis in this test?
Transcribed Image Text:A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 51 lawyers selected from the city reveals a mean annual salary of $ 105000. Assume that o = $ 17300, and that the test is to be made at the 2% significance level. What are the critical values of z? O -1.28 and 1.28 O -2.05 and 2.05 O -1.645 and 1.645 O -2.33 and 2.33 What is the value of the test statistic, z, rounded to three decimal places? i What is the p-value for this hypothesis test, rounded to four decimal places? i Should you reject or fail to reject the null hypothesis in this test?
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