You hear on the local news that for the city of Kalamazoo, the proportion of people who support President Obama is 0.4. However, you think it is less than 0.4. The hypotheses you want to test are Null Hypothesis: p ≥ 0.4, Alternative Hypothesis: p < 0.4. You take a random sample around town and calculate a p-value for your hypothesis test of 0.0913. What is the appropriate conclusion? Conclude at the 5% level of significance.
1) We did not find enough evidence to say the proportion of people who support President Obama is less than 0.4.
2) The proportion of people who support President Obama is significantly less than 0.4.
3) We did not find enough evidence to say the proportion of people who support President Obama is larger than 0.4.
4) The proportion of people who support President Obama is greater than or equal to 0.4.
5) We did not find enough evidence to say a significant difference exists between the proportion of people who support President Obama and 0.4