The nutrition label for Oriental Spice Sauce states that one package of sauce has 11601160 milligrams of sodium. To determine if the label is accurate, the FDA randomly selects 8080 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1037.921037.92 milligrams of sodium per package with a sample standard deviation of 267.98267.98 milligrams. Step 2 of 2 : Using the confidence interval approach, is there evidence that the sodium content is different from what the nutrition label states? Because the hypothesized value does not fall in the interval, we reject the null hypothesis. There is sufficient evidence at the 90%90% confidence level that the sodium content is different from what the nutrition label states. Because the hypothesized value falls in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 90%90% confidence level that the sodium content is different from what the nutrition label states. Because the hypothesized value does not fall in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 90%90% confidence level that the sodium content is different from what the nutrition label states. Because the hypothesized value falls in the interval, we reject the null hypothesis. There is sufficient evidence at the 90%90% confidence level that the sodium content is different from what the nutrition label states.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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The nutrition label for Oriental Spice Sauce states that one package of sauce has 11601160 milligrams of sodium. To determine if the label is accurate, the FDA randomly selects 8080 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1037.921037.92 milligrams of sodium per package with a sample standard deviation of 267.98267.98 milligrams.

Step 2 of 2 :

Using the confidence interval approach, is there evidence that the sodium content is different from what the nutrition label states?

Because the hypothesized value does not fall in the interval, we reject the null hypothesis. There is sufficient evidence at the 90%90% confidence level that the sodium content is different from what the nutrition label states.
Because the hypothesized value falls in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 90%90% confidence level that the sodium content is different from what the nutrition label states.
Because the hypothesized value does not fall in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 90%90% confidence level that the sodium content is different from what the nutrition label states.
Because the hypothesized value falls in the interval, we reject the null hypothesis. There is sufficient evidence at the 90%90% confidence level that the sodium content is different from what the nutrition label states.

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