Test the following claim. identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. a manual states that in order to be a hit, a song must be no longer than three minutes and twenty seconds (or 200 seconds). a simple random sample of 40 current hit songs results in a mean length of 245.0 sec. assume the population standard deviation of song lengths is 53.5 sec. use a 0.05 significance level to test the claim that the sample is from a population of songs with a mean greater than 200 sec. what do these result suggest about the advice given in the manual? what are the null and alternative hypotheses? a. h0: muequals200 sec h1: mugreater than200 sec b. h0: mugreater than200 sec h1: muless than200 sec c. h0: mugreater than200 sec h1: muequals200 sec d. h0: muless than200 sec h1: mugreater than200 sec what is the value of the test statistic? zequals nothing (round to two decimal places as needed.) identify the critical value(s) of z. zequals nothing (round to three decimal places as needed. use a comma to separate answers as needed.) ▼ reject fail to reject h0. there ▼ is is not sufficient evidence to support the claim that the sample is from a population of songs with a mean greater than 200 sec. this result suggest that the advice given in the manual ▼ is is not sound.