a researcher investigated the proportion of left-handed men and women. in a random sample of 500 women, 45 were left-handed. whereas, in a random sample of 554 men, 72 were left-handed. can you conclude that the proportion of left-handed women is less than the proportion of left-handed men? use a 0.05 level of significance. what is the conclusion? there [ select ] enough sample evidence to conclude that the proportion of left-handed women is less than the proportion of left-handed men

To test this conclusion, we can conduct a hypothesis test at the 0.05 level of significance. The null hypothesis would be that the proportions of left-handed women and men are equal, while the alternative hypothesis would be that the proportion of left-handed women is less than the proportion of left-handed men.

We would calculate the difference in proportions of left-handed women and men in our sample and then use a two-tailed z-test to determine if this difference is statistically significant. If the z-score we calculate is greater than the critical z-score associated with the 0.05 level of significance, then we can reject the null hypothesis and conclude that the proportion of left-handed women is less than the proportion of left-handed men.

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