Question

1. A local church parish wants to raise money to add to their campus. In a sample from a previous fund raising campaign, the parish found that of the 134 people in the sample they contacted, that 67 actually contributed money. Of those that contributed money, the average contribution was $893 with a standard deviation of $282. In the recent fundraising campaign, a sample of 94 people revealed that 49 have contributed money with an average contribution of $1,180 and a standard deviation of $371. When testing (at the 5% level of significance) whether the proportion of peole who are contributing has increased, what is the test statistic? (please round your answer to 2 decimal places)

2. The following results are from data concerning the amount withdrawn from an ATM machine based on the amount of time spent at the ATM machine (SECONDS) and the gender, FEMALE (dummy variable = 1 for females and = 0 for males) and an interaction term, SECONDS*FEMALE

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.503
R Square
Adjusted R Square
Standard Error
Observations	50
ANOVA
	df	SS	MS	F	Significance F
Regression			2728.7	5.19	0.004
Residual		24161.8	525.3
Total		32348
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	131.2	23.51	5.89	0	91.03	185.67
Seconds	-1.96	0.643		0.002	-3.401	-0.839
Female	-71.9	31.9	-2.26		-137.33	-8.07
Seconds*Female	2.1	0.85	2.8	0.007	0.67

Based on the regression results, when testing the hypothesis that the coefficient on SECONDS is statistically significantly different than 0, what is the test statistic? (please express your answer using 2 decimal places)

Answer 1

Note that in the first problem actually averages and standard deviations are given, but we have to test the population proportions hence the test statistic.