Question: In Exercise, we described a survey done to determine whether artists are more likely to be left-handed than others in the general population. If we use p to represent the proportion of all artists who are left-handed, the hypotheses are H0: p = .10 and Ha: p > .10. The sample result was that 18 artists of 150 surveyed (or 12%) are left-handed.
a. From the given information, do we know if the conditions necessary to use a z-statistic for this test are met? Explain.
b. Conduct a hypothesis test using level of significance a = .05. Clearly give the details of the five steps. Be sure to write a conclusion.
Exercise: About 10% of the human population is left-handed. Suppose that a researcher speculates that artists are more likely to be left-handed than are other people in the general population. The researcher surveys 150 artists and finds that 18 of them are left-handed.
a. Define the parameter of interest and give the null value.
b. State the researcher's null and alternative hypotheses.
c. What proportion of the sample of artists is left-handed?
d. To calculate a p-value for the hypothesis test, what probability should the researcher calculate? Make your answer specific to this situation.
e. Write the formula for the test statistic in words and substitute the appropriate values in the numerator.