Politicians are interested in knowing the opinions of their constituents on important issues. One administrative assistant to a senator claims that more than 63% of adult women favor stricter gun laws. A recent telephone survey of 1026 adult women by IBR Polls found that 65.9% of adult women favored stricter gun laws. Test the claim that significantly more than 63% of adult women favor stricter gun control.
What value is entered for the successes?
A) 646
B) 676
C) 65.9%
D) 63%
Is the answer A? And, would I multiply .63*1026= 646 to get the answer?
Yes, the answer is A) 646.
To test the claim, you need to calculate the expected number of successes based on the claim that more than 63% of adult women favor stricter gun control.
First, you calculate the expected number of successes by multiplying the total sample size by the claimed proportion, which is 63% or 0.63 in decimal form:
Expected successes = 0.63 * 1026 = 646.38 (rounded to 646)
Since successes are discrete and cannot have decimal values, you round the expected successes to the nearest whole number, which is 646.
So the correct value to enter for the successes is A) 646.