Question

In: Statistics and Probability

A recent study asked 80 women and 75 men if they expected to be promoted at...

A recent study asked 80 women and 75 men if they expected to be promoted at their companies in the next 12 months. 16 women and 19 men said yes. At the .05 level, is there a significant difference between women and men in their expectations of receiving a promotion?

a. What is the pooled proportion?

b. what is the test statistic?

c. is gender difference significant?

d. Calculate the 95% confidence interval for the difference in proportions

Solutions

Expert Solution


Related Solutions

A recent study asked 800 women and 750 men if they expected to be promoted at...
A recent study asked 800 women and 750 men if they expected to be promoted at their companies in the next 12 months. 160 women and 190 men said yes. At the .05 level, is there a significant difference between women and men in their expectations of receiving a promotion? a. What is the pooled proportion? b. what is the test statistic and p-value? c. is gender difference significant? d. Calculate the 95% confidence interval for the difference
A survey question of men and women workers asked if they expected to receive a raise...
A survey question of men and women workers asked if they expected to receive a raise or promotion during the upcoming year. Two hundred men and 200 women were sampled. Of the men, 110 said yes but only 90 of the women said yes. Develop the hypotheses and test at 95% confidence to see if the percentage of women expecting to receive a raise or promotion is less than that of the men. What is your conclusion?
A A recent study focused on the number of times men and women send a Twitter...
A A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below. Sample Size Sample Mean Population Standard Deviation   Men 23          18          5                  Women 38          38          21                At the .01 significance level, is there a difference in the mean number of times men and women send a Twitter message in a day? What is the p-value for this hypothesis...
A recent study was done comparing the IQ scores of women and men. In a sample...
A recent study was done comparing the IQ scores of women and men. In a sample of 22 women, the average IQ score was 100.6 with a sample standard deviation of 7.3, and for a sample of 13 men, the average IQ score was 101.3 with a sample standard deviation of 9.8. Use a 0.01 level of significance to test the claim that the average IQ score for women and men is the same.
A recent study focused on the number of times men and women send a Twitter message...
A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below. Sample Size Sample Mean Population Standard Deviation   Men 29          24          9                  Women 37          37          19                At the .01 significance level, is there a difference in the mean number of times men and women send a Twitter message in a day? What is the p-value for this hypothesis test?...
A recent study focused on the amount of money single men and women save monthly. The...
A recent study focused on the amount of money single men and women save monthly. The information is summarized here. Assume that the population standard deviations are equal. At the 0.01 significance level, what is the conclusion about the way women and men save?
1. Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to...
1. Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year (USA Today, February 16, 2012). Suppose the survey sampled 200 men and 200 women. If 104 of the men replied yes and 74 of the women replied yes, are the results statistically significant in that you can conclude a greater proportion of men are expecting to get a raise or a promotion this year? a. State the...
In a study investigating the difference in food preferences between men and women, researchers asked subjects...
In a study investigating the difference in food preferences between men and women, researchers asked subjects to indicate whether they like or disliked certain foods. One question was about lamb. Twenty percent of a sample of 75 men disliked lamb, while 38% of a sample of 100 women indicated that they disliked lamb. Test the claim that there is a difference in the proportions of men and women who dislike lamb. Indicate the correct set of statistical hypotheses for this...
A recent study focused on the number of times men and women who live alone buy...
A recent study focused on the number of times men and women who live alone buy take-out dinners in a month. The information is summarized below. Statistic Men Women Sample mean 25.0 21.2 Sample standard deviation 4.5 3.9 Sample size 110 110 At the .05 significance level, can we claim that men order take-out dinners more often than women?
A recent study focused on the number of times men and women who live alone buy...
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution and the population standard deviations are equal. The information is summarized below. Statistic Men Women Sample mean 23.81 21.97 Sample standard deviation 5.67 4.61 Sample size 32 36 At the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT