Use a t-test to test the claim about the population mean µ at the given level of significance a using the given sample
statistics. Assume the population is normally distributed.
Claim: ? ? 7800; x = 0.10 Sample statistics: x = 7500, s=430, n=20
C. $H_0: \mu ? 7800$
$H_a: \mu > 7800$
What is the value of the standardized test statistic?
D. $H_0: \mu ? 7800$
$H_a: \mu = 7800$
The standardized test statistic is 3.12. (Round to two decimal places as needed.)
What is the P-value?
P=0.002 (Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
A. Reject $H_0$. At the 10% level of significance, there is not enough evidence to reject the claim.
B. Reject $H_0$. At the 10% level of significance, there is enough evidence to reject the claim.
C. Fail to reject $H_0$. At the 10% level of significance, there is enough evidence to reject the claim.
D. Fail to reject $H_0$. At the 10% level of significance, there is not enough evidence to reject the claim.