Question

You wish to test the following claim (Ha) at a significance level of a = 0.002. Ho:p = 63.7 Ha:M # 63.7 You believe the population is normally distributed and you know the standard deviation is o = 9.8. You obtain a sample mean of M = 59.4 for a sample of size n = 40. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null fail to reject the null

Answer 1

The statistical software output for this problem is :

One sample Z summary hypothesis test: : Mean of population Họ: H=63.7 HA1= 63.7 Standard deviation = 9.8 Hypothesis test results: Mean n Sample Mean Std. Err. Z-Stat P-value 40 59.4 1.5495161 -2.77506 0.0055

Test statistics = -2.775

P-value = 0.0055

The P-value is

greater than a

fail to reject the null