Question

Also what is the P value and do I reject the hypothesis

Do women feel differently from men when it comes to tax rates? One question on a survey of randomly selected adults asked, "What percent of income do you believe individuals should pay in income tax?" Complete parts a) through c). B Click the icon to view the survey results. CYC. Each sample size is small relative to the size of its population. LYD. Each sample is obtained independently of the other. LYE. Each sample size is large. c) Test whether the mean tax rate for females differs from that of males at the a = 0.1 level of significance. Determine the null and alternative hypotheses for this test. Let um represent the mean income tax rate for males and let ue represent the mean income tax rate for females. Ho: HM - HF versus Hy: HM # HF Find to, the test statistic for this hypothesis test. to = (Round to two decimal places as needed.)
v

Answer 1

(c) The null and alternative hypotheses are given as follows: H: There is no significant difference between the tax rates of males and females, that is, Uv=up. H,: There is a significant difference between the tax rates of males and females, that is, Uy Up To test the null hypothesis, t- test for unequal variances will be used. The steps to conduct the test in MS Excel are given as follows: 1. Enter the data in the excel sheet. 2. Go to Data Data Analysis t-Test: Two Sample Assuming Unequal Variances. 3. Select the range for variable 1 and variable 2. 4. Enter the hypothesized mean difference as zero. 5. Set the Alpha to 0.05 and select the output range and then select Ok. The output will be generated on the screen as follows: t-Test: Two-Sample Assuming Unequal Variances Mean Variance Observations Hypothesized Mean Difference Females 12.5 47.98275862 30 Males 10.86666667 54.74022989 30 0 df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 58 0.882676633 0.19052742 1.671552762 0.38105484 2.001717484 The test statistic obtained from the output is to =0.8823.