Question

You survey 100 UWEC students about whether they prefer to shower in the morning or in the evening, and find 67 who prefer the morning. Based on this, you use the One Proportion applet to do a series of two-sided hypothesis tests

?0:?=?0H0:π=p0

??:?≠?0Ha:π≠p0

for different proportions ?0. You find the following p-values:

Null	p-value
.55	.013
.56	.026
.57	.033
.58	.069
.59	.126
.60	.175
.61	.224
.62	.338
.63	.466
.64	.637
.67	1
.70	.513
.71	.403
.72	.338
.73	.169
.74	.122
.75	.095
.76	.057
.77	.023
.78	.008

1. Based on the table, a 90% confidence interval for π, the true proportion of UWEC students who prefer to shower in the morning, is from. to . (List your answers in order with the lower endpoint of the interval first.)
2. Based on the table, a 95% confidence interval for π is from to .

Answer 1