ANSWER 1 :
Given that
Ho : P = 0.5
Ha : P > 0.5
Z = 3.7087
p - value = 0.000104
The probability that the null hypothesis is there is only 0.000104, so we should choose to reject it.
ANSWER - 2 & 3 & 4 :
ANSWER - 5 & 6 :
using excel
Confidence Interval Estimate for the Proportion | |
Data | |
Sample Size | 53 |
Number of Successes | 40 |
Confidence Level | 95% |
Intermediate Calculations | |
Sample Proportion | 0.754716981 |
Z Value | -1.9600 |
Standard Error of the Proportion | 0.0591 |
Interval Half Width | 0.1158 |
Confidence Interval | |
Interval Lower Limit | 0.6389 |
Interval Upper Limit | 0.8706 |
Answer 5 ) lower bound = 0.6389
Answer 6 ) upper bound = 0.8706
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