---### Hypothesis Testing for Proportion of Women Over 40 Who Regularly Have Mammograms#### Study ObjectiveYou are conducting a study to determine if the proportion of women over 40 who regularly have mammograms is significantly different from 0.8. The study uses a significance level of \( \alpha = 0.002 \).#### Hypotheses- **Null Hypothesis** (\( H_0 \)): \( p = 0.8 \)- **Alternative Hypothesis** (\( H_1 \)): \( p \neq 0.8 \)#### Sample DataA sample of size \( n = 704 \) was obtained, with 548 successes (women who regularly have mammograms).#### Statistical Questions1. **Test Statistic Calculation** - What is the test statistic for this sample? (Report the answer accurate to three decimal places.) - **Test Statistic**: [ ]2. **P-value Calculation** - What is the p-value for this sample? (Report the answer accurate to four decimal places.) - **P-value**: [ ]3. **Comparing P-value with Significance Level** - The p-value is... - \( \bigcirc \) less than (or equal to) \( \alpha \) - \( \bigcirc \) greater than \( \alpha \)4. **Decision Based on Test Statistic** - This test statistic leads to a decision to... - \( \bigcirc \) reject the null - \( \bigcirc \) accept the null - \( \bigcirc \) fail to reject the null#### Conclusion InterpretationAs such, the final conclusion is that...- \( \bigcirc \) There is sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.8.- \( \bigcirc \) There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.8.- \( \bigcirc \) The sample data support the claim that the proportion of women over 40 who regularly have mammograms is different from 0.8.- \( \bigcirc \) There is not sufficient sample evidence to support the claim that the proportion of women over 40 who regularly have mammograms is different from 0.

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Description: ---### Hypothesis Testing for Proportion of Women Over 40 Who Regularly Have Mammograms#### Study ObjectiveYou are conducting a study to determine if the proportion of women over 40 who regularly have mammograms is significantly different from 0.8.

The hypotheses for the test are given below. Null hypothesis: H0: p = 0.8 Alternative hypothesis:…

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You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 0.8. You use a significance level of a = 0.002. Ho:p = 0.8 H1:p + 0.8 You obtain a sample of size n = 704 in which there are 548 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.8. O There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.8. O The sample data support the claim that the proportion of women over 40 who regularly have mammograms is different from 0.8.

You are conducting a study to see if the proportion of women over 40 who regularly have mammograms is significantly different from 0.8. You use a significance level of a = 0.002. Ho:p = 0.8 H1:p + 0.8 You obtain a sample of size n = 704 in which there are 548 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.8. O There is not sufficient evidence to warrant rejection of the claim that the proportion of women over 40 who regularly have mammograms is different from 0.8. O The sample data support the claim that the proportion of women over 40 who regularly have mammograms is different from 0.8.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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