Using the sample results in Exercise 10.71, construct and interpret the 90% confidence interval for the population proportion. Is the hypothesized population proportion (0.07) within the interval? Given the presence or absence of the 0.07 value within the interval, is this consistent with the findings of the hypothesis test conducted in Exercise 10.71?
In exercise
According to the U.S. Bureau of Labor Statistics, 7.0% of female hourly workers who are 16 to 24 years old are being paid minimum wage or less. A prominent politician is interested in how young working women within her county compare to this national percentage, and selects a simple random sample of 500 female hourly workers who are 16 to 24 years old. Of the women in the sample, 42 are being paid minimum wage or less. From these sample results, and using the 0.10 level of significance, could the politician conclude that the percentage of young female hourly workers who are low-paid in her county might be the same as the percentage of young women who are low-paid in the nation as a whole? Determine and interpret the p-value for the test.