Answer:
We can reject the null hypothesis. There is significant evidence that p<0.31 at α = 0.01
Step-by-step explanation:
To test the the claim p < 0.31, null and alternative hypotheses are:
: p=0.31
: p<0.31
For α = 0.01, one tailed test critical value is -2.33
For z=-3.36 , p value is ≈ 0.0004
Since p-value<significance level (0.0004<0.01), we can reject the null hypothesis. There is significant evidence that p<0.31 at α = 0.01
Complete Question
The alternative hypothesis is and it is found the statistic is 1.04 Test the claim with 5% significance level. is the test left right or two tailed and what is the p value
Answer:
This a right tailed test
The p-value is p-value = 0.14917
Step-by-step explanation:
From the question we are told that
The alternative hypothesis is
The test statistics is
The level of significance is
Generally this a right tailed test because from the alternative hypothesis p > 0.9 i.e due to the greater than sign signifying that test will be focusing on the right tail of the normal curve
From the z table the area under the normal curve to the right corresponding to 1.04 is
P( Z> 1.04 ) = 0.14917
Generally the p-value is mathematically represented as
p-value = P( Z> 1.04 ) = 0.14917