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Suppose there is a claim that a certain population has a mean, μ, that is different than 6. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H₁, as follows. H₂ =6 H₁: μ6 Suppose you also know the following information. The value of the test statistic based on the sample is -1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 04 Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.3+ 0.2+ Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.1+ (b) Based on your answer to part (a), which statement below is true? 0 00 Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. Since the p-value is greater than the level of significance, the null hypothesis is not rejected. 2 3

Suppose there is a claim that a certain population has a mean, μ, that is different than 6. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H₁, as follows. H₂ =6 H₁: μ6 Suppose you also know the following information. The value of the test statistic based on the sample is -1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 04 Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.3+ 0.2+ Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.1+ (b) Based on your answer to part (a), which statement below is true? 0 00 Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. Since the p-value is greater than the level of significance, the null hypothesis is not rejected. 2 3

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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Hello, may I get please help with the following? All the questions are provided in the images. An explanation leading to the CORRECT answers would be helpful please! Thank you!
Suppose there is a claim that a certain population has a mean, μ, that is different than 6. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H₁, as follows. H₂ =6 H₁: μ6 Suppose you also know the following information. The value of the test statistic based on the sample is -1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 04 Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.3+ 0.2+ Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.1+ (b) Based on your answer to part (a), which statement below is true? 0 00 Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. Since the p-value is greater than the level of significance, the null hypothesis is not rejected. 2 3
Transcribed Image Text:Suppose there is a claim that a certain population has a mean, μ, that is different than 6. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H₁, as follows. H₂ =6 H₁: μ6 Suppose you also know the following information. The value of the test statistic based on the sample is -1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 04 Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.3+ 0.2+ Step 3: Shade the area represented by the p-value. Step 4: Enter the p-value. (Round to 3 decimal places.) 0.1+ (b) Based on your answer to part (a), which statement below is true? 0 00 Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. Since the p-value is greater than the level of significance, the null hypothesis is not rejected. 2 3
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