For a test of H_o: p = 0.5, the z

For a test of $$\displaystyle{H}_{{o}}:{p}={0.5}$$, the z test statistic equals $$\displaystyle{1.52}$$. Find the p-value for $$\displaystyle{H}_{{a}}:{p}{>}{0.5}$$.

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Esther Phillips
The main objective of the problem is to find the p-value for the z test statistic 1.52.
The p-value is obtained below:
$$\displaystyle{p}−{v}{a}{l}{u}{e}={P}{\left({Z}{>}{1.52}\right)}$$
$$\displaystyle={1}-{P}{\left({Z}\le{1.52}\right)}$$
From the standard normal table, the value of $$\displaystyle{P}{\left({Z}\le{1.52}\right)}$$ is $$\displaystyle{0.9357}$$.
$$\displaystyle{p}−{v}{a}{l}{u}{e}={1}−{0.9357}$$
$$\displaystyle={0.0643}$$
The p-value is 0.0643.
Not exactly what you’re looking for?
Travis Hicks
The p-value is obtained by subtracting the probability of z less than 1.52 from the total probability 1.
The probability of z < 1.52 is obtained by, taking the value that is intersected with the row containing the value ‘1.5’ the column containing the value ‘.02’, from the standard normal table.
nick1337
The p-value is 0.0643