A realtor in Mission Viejo, California, believes that the average price of a house is more than $500 thousand. a. Select the null and the alternative hypotheses for the test. (A) H0: μ = 500,000; HA: μ ≠ 500,000(B) H0: μ ≤ 500,000; HA: μ > 500,000(C) H0: μ ≥ 500,000; HA: μ < 500,000b-1. Assume the population standard deviation is $100 (in $1,000s). What is the value of the test statistic? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic = ?b-2. Find the p-value. a. p-value < 0.01b. 0.01 ≤ p-value < 0.025c. 0.025 ≤ p-value < 0.05d. 0.05 ≤ p-value < 0.10e. p-value ≥ 0.10c. At α = 0.05, what is the conclusion?a. Reject H0; realtor's claim is supported by the data. b. Reject H0; realtor's claim is not supported by the data. c. Do not reject H0; realtor's claim is supported by the data. d. Do not reject H0; realtor's claim is not supported by the data. House Price
430
520
460
475
670
521
670
417
533
525
538
370
530
525
430
330
575
555
521
350
399
560
440
425
669
660
702
540
460
588
445
412
735
537
630
430