Question

Hi, can you help me answer this question please, thank you!

Answer 1

Out of 57 subjects, there are 43 successes. This means that the probability of success, p' would be

p' = 43/57 = 0.75

Thus, Sample proportion = 0.75

The claimed proportion, p = 0.72

Test statistic = (Sample proportion - claimed proportion)/standard error

The formula for calculating standard error is expressed as

`\begin{gathered} \text{standard error = }\sqrt[]{(pq)/(n)} \\ p\text{ = 0.72} \\ q\text{ = 1 - 0.72 = 0.28} \\ n\text{ = 57} \\ \text{Standard error = }\sqrt[]{(0.72*0.28)/(57)}=0.05947 \end{gathered}`

Claimed proprortion = 0.72

Test statistic = (0.75 - 0.72)/0.05947

z = 0.50