Does the average height of adults aged 25 years and older hold true at Sarah's college? Sarah conducted a hypothesis test using a sample size of 100 and a z-score of -1.59. What is the p-value of a two-tailed one-mean hypothesis test with these parameters? Answer: The p-value of the two-tailed one-mean hypothesis test with a test statistic of z0 = -1.59 is approximately 0.1118. In Sarah's study at her college, she wanted to test if the average height of adults aged 25 years and older holds true. With a sample size of 100 and a calculated z-score of -1.59, she conducted a two-tailed one-mean hypothesis test. To calculate the p-value for this hypothesis test, we need to find the area under the probability distribution curve that is more extreme than the observed test statistic. In this case, the observed test statistic is z0 = -1.59. Since this is a two-tailed test, we need to find the area in both tails of the distribution. The p-value is the sum of the areas in both tails. Using a standard normal distribution table or a calculator, we can find that the area to the left of z = -1.59 is approximately 0.0559. Since this is a two-tailed test, we need to double this value to account for the area in the right tail as well. Therefore, the p-value for this hypothesis test is approximately 2 * 0.0559 = 0.1118. This suggests that there is an 11.18% probability of observing a value of z0 = -1.59 or less if the null hypothesis is true. Therefore, the average height of adults at Sarah's college may not align with the average height of adults aged 25 years and older in general.

Question

Does the average height of adults aged 25 years and older hold true at Sarah's college?     Sarah conducted a hypothesis test using a sample size of 100 and a z-score of -1.59. What is the p-value of a two-tailed one-mean hypothesis test with these parameters?                   Answer:         The p-value of the two-tailed one-mean hypothesis test with a test statistic of z0 = -1.59 is approximately 0.1118.                        In Sarah's study at her college, she wanted to test if the average height of adults aged 25 years and older holds true. With a sample size of 100 and a calculated z-score of -1.59, she conducted a two-tailed one-mean hypothesis test.                  To calculate the p-value for this hypothesis test, we need to find the area under the probability distribution curve that is more extreme than the observed test statistic. In this case, the observed test statistic is z0 = -1.59.                  Since this is a two-tailed test, we need to find the area in both tails of the distribution. The p-value is the sum of the areas in both tails. Using a standard normal distribution table or a calculator, we can find that the area to the left of z = -1.59 is approximately 0.0559. Since this is a two-tailed test, we need to double this value to account for the area in the right tail as well. Therefore, the p-value for this hypothesis test is approximately 2 * 0.0559 = 0.1118.                  This suggests that there is an 11.18% probability of observing a value of z0 = -1.59 or less if the null hypothesis is true. Therefore, the average height of adults at Sarah's college may not align with the average height of adults aged 25 years and older in general.

Emile · Answer

Answer:         The p-value of the two-tailed one-mean hypothesis test with a test statistic of z0 = -1.59 is approximately 0.1118.

Hypothesis Testing: Sarah's College Height Study

Does the average height of adults aged 25 years and older hold true at Sarah's college?

Answer:

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