Only about 12% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 382 millionaires surveyed, 38 could wiggle their ears. What can be concluded at the α = 0.05 level of significance? For this study, we should use     The null and alternative hypotheses would be:  H0:H0:             (please enter a decimal)  H1:H1:             (Please enter a decimal) The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 3 decimal places.) The p-value is     α Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly lower than 12% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 12%. The data suggest the population proportion is not significantly lower than 12% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 12%. The data suggest the population proportion is not significantly lower than 12% at α = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 12%.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Only about 12% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 382 millionaires surveyed, 38 could wiggle their ears. What can be concluded at the α = 0.05 level of significance?

  1. For this study, we should use    
  2. The null and alternative hypotheses would be:

 H0:H0:             (please enter a decimal)

 H1:H1:             (Please enter a decimal)

  1. The test statistic     =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 3 decimal places.)
  3. The p-value is     α
  4. Based on this, we should      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the populaton proportion is significantly lower than 12% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 12%.
    • The data suggest the population proportion is not significantly lower than 12% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 12%.
    • The data suggest the population proportion is not significantly lower than 12% at α = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 12%.
**Question:**

Only about 12% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 382 millionaires surveyed, 38 could wiggle their ears. What can be concluded at the α = 0.05 level of significance?

**Instructions:**

**a.** For this study, we should use [Select an answer]

**b.** The null and alternative hypotheses would be:

\( H_0 \): [Select an answer] [Input box] (please enter a decimal)

\( H_1 \): [Select an answer] [Input box] (Please enter a decimal)

**c.** The test statistic [Select an answer] = [Input box] (please show your answer to 3 decimal places.)

**d.** The p-value = [Input box] (Please show your answer to 3 decimal places.)

**e.** The p-value is [Select an answer] α

**f.** Based on this, we should [Select an answer] the null hypothesis.

**g.** Thus, the final conclusion is that …

- [Option 1] The data suggest the population proportion is significantly lower than 12% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 12%.

- [Option 2] The data suggest the population proportion is not significantly lower than 12% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 12%.

- [Option 3] The data suggest the population proportion is not significantly lower than 12% at α = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 12%.
Transcribed Image Text:**Question:** Only about 12% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 382 millionaires surveyed, 38 could wiggle their ears. What can be concluded at the α = 0.05 level of significance? **Instructions:** **a.** For this study, we should use [Select an answer] **b.** The null and alternative hypotheses would be: \( H_0 \): [Select an answer] [Input box] (please enter a decimal) \( H_1 \): [Select an answer] [Input box] (Please enter a decimal) **c.** The test statistic [Select an answer] = [Input box] (please show your answer to 3 decimal places.) **d.** The p-value = [Input box] (Please show your answer to 3 decimal places.) **e.** The p-value is [Select an answer] α **f.** Based on this, we should [Select an answer] the null hypothesis. **g.** Thus, the final conclusion is that … - [Option 1] The data suggest the population proportion is significantly lower than 12% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 12%. - [Option 2] The data suggest the population proportion is not significantly lower than 12% at α = 0.05, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 12%. - [Option 3] The data suggest the population proportion is not significantly lower than 12% at α = 0.05, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 12%.
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