Question

Leshonda had been working at her job for almost twenty years. She felt like she worked overtime more often than not and deserved a raise, so she randomly selected 50 paychecks and found that she had worked overtime in 32 of those weeks.

Use a TI-83, TI-83 plus, or TI-84 calculator to test whether Leshonda worked overtime more often than not. Identify the p-value, rounding to three decimal places.

PLEASE SHOW ON THE STEPS ON THE CALCULATOR, THANK YOU!

Answer 1

Answer Date: 28/03/2019 To test the hypothesis is that the proportion of worker overtime is more than 50% at 10% level of significance. The null and alternative hypothesis is, H,: p-0.50 H p> 0.50 The z-test statistics is, 1) Import the data. 2) Select TESTS from Stat menu 3) Select 1-Proportion Z Test from TESTS variables 4) Enter Proportion, x, n and select >Po from 1-Proportion Z Test. 5) Press ENTER.

z-1.979898987 P=.02385737 P. 64 From the TI-84 calculator output, thez-test statistics is 1.98 The p-value for this test is, From the TI-84 calculator output, the p-value for this testis 0.024. Decision The conclusion is that the p-value in this context is less than 0.05 which is 0.024, the null hypothesis is rejected at 5% level of significance. There is sufficient evidence to indicate that the proportion of worker overtime is more than 50%. The result is statistically significant