Do women feel differently from men when it comes to tax rates? One question on a

Question

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). Click the icon to view the survey results. c) Test whether the mean tax rate for females differs from that of males at the = 0.1 level of significance Determine the null and alternative hypotheses for this test. Let M represent the mean income tax rate for males and let F represent the mean income tax rate for females. Find to, the test statistic for this hypothesis test. to0.79 (Round to two decimal places as needed.) Determine the P-value for this test. P-value 0.434 (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below.

Explanation / Answer

Solution:-

As the survey results are not given in the question, and as you have got all the answers already, here I have worked with the method to find the results for t and p values.

Using sample data, find the standard error, degrees of freedom, test statistic, and the P-value associated with the test statistic.

SE = sqrt[ (s12/n1) + (s22/n2) ]

DF = (s12/n1 + s22/n2)2 / { [ (s12 / n1)2 / (n1 - 1) ] + [ (s22 / n2)2 / (n2 - 1) ] }

t = [ (x1 - x2) - d ] / SE

Interpret Results

If the sample findings are unlikely, given the null hypothesis, the researcher rejects the null hypothesis. Typically, this involves comparing the P-value to the significance level, and rejecting the null hypothesis when the P-value is less than the significance level.

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