Only about 14% of all people can wiggle their ears. Is this percent lower for millionaires?...

Only about 14% of all people can wiggle their ears. Is this percent lower for millionaires? Of the 345 millionaires surveyed, 35 could wiggle their ears. What can be concluded at the αα = 0.10 level of significance?

For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
The null and alternative hypotheses would be:

H0:H0: ? μ p Select an answer < > = ≠ (please enter a decimal)

H1:H1: ? p μ Select an answer ≠ > < = (Please enter a decimal)

The test statistic ? z t = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 3 decimal places.)
The p-value is ? ≤ > αα
Based on this, we should Select an answer fail to reject accept reject the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly lower than 14% at αα = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is equal to 14%.
- The data suggest the population proportion is not significantly lower than 14% at αα = 0.10, so there is statistically insignificant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 14%.
- The data suggest the populaton proportion is significantly lower than 14% at αα = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 14%.

Solutions

Expert Solution

Let p denotes the true proportion of all people who can wiggle their ears.

a) For this study, we should use z-test for a population proportion

b- d)

e) Thus, the final conclusion is that -

The data suggest the populaton proportion is significantly lower than 14% at αα = 0.10, so there is statistically significant evidence to conclude that the population proportion of millionaires who can wiggle their ears is lower than 14%.

orchestra answered 1 year ago

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