Question

Assume that the significance level is alpha equals 0.01. Use the given information to find the​ P-value and the critical​ value(s). With Upper H 1 : p not equals three fourths ​, the test statistic is zequalsnegative 1.64.

Answer 1

Answer: 0.1010052

Explanation:

Given : Significance level :
`\alpha=0.01`

Alternative hypothesis :
`H_1:\ p\\eq(3)/(4)`

The test statistic value :
`z=-1.64`

Since , the alternative hypothesis is two-tailed, so the test is a two-tailed test.

Using standard normal distribution table for z, we have

The P-value of two-tailed test will be :-

`2P(z>|-1.64|)=2P(z>1.64)\\\\=2(1-P(z\leq1.64))\\\\=2(1-0.9494974)\\\\=0.1010052`

Hence, the P-value = 0.1010052