n a random sample of 108 employees, 25 men earned less than $20 per hour, 25 earned between $20 and $30, and 8 earned more than $30 per hour. In the same study, 29 women earned less than $20 per hour, 15 earned between $20 and $30, and 6 earned more than $30 per hour. Test the hypotheses, at the 10% level of significance, that men and women earn the same. State your conclusion as a sentence including the test statistic and the critical value.

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 318 people over the age of 55, 77 dream in black and white, and among 298 people under the age of 25, 16 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. H4: P1 P2 H: P1 #P2 O D. Ho: P1 SP2 H1: P1#P2 O E. Ho: P1 P2 H1: P1 = P2 O F. Ho: P1 =P2 H1: P1 #P2 Identify the test statistic. z= 6.52 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.000 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is less than the significance level of a = 0.05, so reject the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion…

In a survey of working parents (both parents working), one of the questions asked was "Have you refused a job, promotion, or transfer because it would mean less time with your family?" 410410 men and 410410 women were asked this question. 26%26% of the men and 19%19% of the women responded "Yes". Based on this survey, can it be concluded that there is a difference in the proportion of men ( p1p1 ) and women ( p2p2 ) responding "Yes"? Use a significance level of α=0.05α=0.05 for the test. Step 3 of 5 :   Compute the value of the test statistic. Round your answer to two decimal places.

On a normal weekend, 14% of those attending Mass at a local Catholic church donate over $200 per week, 26% donate between $100 and $200 per week, and the remaining donate less than $100 per week. At Christmas time, a survey of 226 people attending Masses finds that 28% donate over $200, 49% donate between $100 and $200, and the remaining donate less than $100. When testing (at the 10% level of significance) whether the proportions are different at Christmas time than during other weekends, what is the test statistic (please round your answer to 3 decimal places)