The constant rate of change is $1.75 :)
This is because when the x value equals 1 the y value equals 4.75. And when the x value equals 2 the y value equals 6.50, so the rate of change is between the 2 y values which is linear so it has a constant rate of change of $1.75.
3rd option: A middle school student it more likely to own a phone than an elementary school student
Shannon will get there first. This is because 16.299 is less than 16.92. When looking at decimals, the first number at the decimal is most important.
Let sample in Texas be p1, Louisiana be p2.
Null Hypothesis:
p1 - p2 = 0
Alternative Hypothesis: (This represents the claim)
p1- p2 < 0
To calculate test statistic, you need the pooled estimate which is a weighted average of the 2 sample proportions.
Next get standard error:
Calculate test statistic:
To find p-value, look up Z-value in standard normal table.
Anything smaller than -3 or larger than 3, you can estimate to have
p-value = 0.
If p-value < alpha, Reject Null Hypothesis.
For this example, 0 < 0.05, therefore reject null hypothesis.
There is evidence to support claim that proportion of smokers in Texas is LESS than Louisiana.