Conduct a t-test at the .01 level. You are interested in the income of American adults. In your sample, there are 361 adults with a high school degree, with a mean $19,500 and a standard deviation $3,800. Test if the mean income of the high school degree holders is $20,000. Find the correct decision about the null hypothesis and research hypothesis  (A) Because the t-statistic exceeds the critical values, we fail to reject the null hypothesis. (B) Because the t-statistic exceeds the critical values, we reject the null hypothesis. (C) Because the t-statistic does not exceed the critical values, we fail to reject the null hypothesis. (D) Because the t-statistic does not exceed the critical values, we reject the null hypothesis.   (A) Therefore, the population mean is not statistically significantly different from $20,000. (B) Therefore, the population mean is statistically significantly different from $20,000. (C) Therefore, the population mean is not statistically significantly different from $19,500. (D) Therefore, the population mean is statistically significantly different from $19,500. (E) Therefore, the population mean is equal to $20,000. (F) Therefore, the population mean is equal to $19,500.

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 Conduct a t-test at the .01 level. You are interested in the income of American adults. In your sample, there are 361 adults with a high school degree, with a mean $19,500 and a standard deviation $3,800. Test if the mean income of the high school degree holders is $20,000.

Find the correct decision about the null hypothesis and research hypothesis 

(A) Because the t-statistic exceeds the critical values, we fail to reject the null hypothesis.


(B) Because the t-statistic exceeds the critical values, we reject the null hypothesis.


(C) Because the t-statistic does not exceed the critical values, we fail to reject the null hypothesis.


(D) Because the t-statistic does not exceed the critical values, we reject the null hypothesis.

 

(A) Therefore, the population mean is not statistically significantly different from $20,000.


(B) Therefore, the population mean is statistically significantly different from $20,000.


(C) Therefore, the population mean is not statistically significantly different from $19,500.


(D) Therefore, the population mean is statistically significantly different from $19,500.


(E) Therefore, the population mean is equal to $20,000.


(F) Therefore, the population mean is equal to $19,500.

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