Do males or females feel more tense or stressed out at work? A survey of employe

Question

Do males or females feel more tense or stressed out at work? A survey of employed adults conducted online revealed the following table. Complete parts (a) and (b) below.

Do males or females feel more tense or stressed out at work?A survey of employed adults conducted online revealed the following table. Complete parts (a) and (b) below. Feel Tense or Stressed Out at Work Gender Yes, No Male 240 492 Female 278 490 a. At the a 0.025 level of significance, is there evidence of a difference between males and females in the proportion who feel stressed out at work? Let R1 be the proportion of males, and let xa be the proportion of females. Determine the hypotheses. Choose the correct answer below. H, R H1: Conduct the hypothesis test defined, using the 0.025 level of significance. What is the value of the test statistic? XSTAT Round to two decimal places as needed Find the critical value. Xa Round to two decimal places as needed Is this value significant at -0.025? the critical value. The null hypothesis should Y because the test statistic is b. Find the p-value and interpret its meaning. p-value (Round to three decimal places as needed.) What does the p-value mean? O A. The p-value is the probability of getting a test statistic more extreme than the sample result if there is a difference in the proportions of how stressed adults feel at work. O B. The p-value is the probability of getting a test statistic less extreme than the sample result if there is a difference in the sample proportions of how males and females feel at work O C. The p-value is the probability of getting a test statistic less extreme than the sample result if there is no difference in the sample proportions of how males and females feel at work O D. The p-value is the probability of getting a test statistic more extreme than the sample result if there is no difference in the proportions of how stressed males and females feel at work.

Explanation / Answer

a) Correct Answer: Option (A)

From the given data,

The observed frequencies are

The chisquare contribution is

Test Statistic, X^2: 1.9288

Critical X^2: 5.023891

We accept H0 because Test statistic is less than critical value. Null hypothesis should be accept

b)

P-Value: 0.1649

Correct Answer: Option (D)

Gender Yes Ne Total Male 240 492 732 Female 278 490 768 Total 518 982 1500

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