A travel analyst claims that the mean room rates at a three-star hotel in Chicago is greater than $152. In a random sample of 36 three-star hotel rooms in Chicago, the mean room rate is $165 with a standard deviation of $41. At α=0.10, can you support the analyst's claim using the p-value?

Claim is the alternative, fail to reject the null as p-value (0.029) is less than alpha (0.10), and can support the claim

Claim is the null, fail to reject the null as p-value (0.029) is less than alpha (0.10), and cannot support the claim

Claim is the null, reject the null as p-value (0.029) is less than alpha (0.10), and cannot support the claim

Claim is the alternative, reject the null as p-value (0.029) is less than alpha (0.10), and can support the claim