## Hypothesis Testing at Significance Level α = 0.01### Claim to be Tested:You wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.01\):- Null Hypothesis (\(H_0\)): \( p = 0.47 \)- Alternative Hypothesis (\(H_a\)): \( p < 0.47 \)### Sample Data:You obtain a sample of size \( n = 243 \) in which there are 107 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.### Questions and Calculations:1. **What is the critical value for this test?** (Report answer accurate to three decimal places.) - critical value = ___________2. **What is the test statistic for this sample?** (Report answer accurate to three decimal places.) - test statistic = ___________### Decision Making:- **The test statistic is...** - \( \circ \) in the critical region - \( \circ \) not in the critical region- **This test statistic leads to a decision to...** - \( \circ \) reject the null - \( \circ \) accept the null - \( \circ \) fail to reject the null

The null and alternative hypothesis isH0:p=0.47Ha:p<0.47sample size(n)=243x=107significance…

You wish to test the following claim (Ha) at a significance level of α = 0.01. Ho: p= 0.47 Ha: p<0.47 You obtain a sample of size n = 243 in which there are 107 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null

You wish to test the following claim (Ha) at a significance level of α = 0.01. Ho: p= 0.47 Ha: p<0.47 You obtain a sample of size n = 243 in which there are 107 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null

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

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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