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2. Among 343 women surveyed, 15 worked the graveyard shift. Among 294 men surveyed, 27 worked the graveyard shift. The samples are independent and were gathered using simple random sampling. Use the critical value method and a 1% significance level to test the claim that the proportion of women working the graveyard shift is less than the proportion of men working the graveyard shift.

Answer 1

The null and alternative hypothes is is, Ho: P = P2 vls H: P, CP2 ni Given, H tesis Proportion of men they worked the graveyard shitt: + 15 X ni No 343 = 0.044 9 norsoogoot out with molo Propostion of tomen they worked the graveyard shift: P = x2 80027 0.092907 na 294 x + x2 Pe 15+27 = 0.066 nito2 343+294 ē = 1-8 = 0.934 The test statistic is, Å, - 2 n' pé (1 + 2) 0.044-0.092 = [(0.066X0.934) (243 + 294
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