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 $160 with a population standard deviation of $41. At =0.10, can you support the analyst's claim using the p-value?

Group of answer choices

Claim is the null, reject the null as p-value (0.121) is not less than alpha (0.10), and cannot support the claim

Claim is the alternative, reject the null as p-value (0.121) is not less than alpha (0.10), and can support the claim

Claim is the alternative, fail to reject the null as p-value (0.121) is not less than alpha (0.10), and cannot support the claim

Claim is the null, fail to reject the null as p-value (0.121) is not less than alpha (0.10), and cannot support the claim