Question

Consider the following hypothesis test. Given that n = 79,0 = 7, X = 49 6, and a = 0.05, complete parts a through d below Ho us 48 HA -> 48 vis a State the decision rule in terms of the critical value(s) of the test statistic Reject the null hypothesis if the calculated value of the test statistic, the critical value(s) otherwise, do not reject the mult (Round to two decimal places as needed. Use a comma to separate answers as needed) b. State the calculated value of the test statistic (Round to two decimal places as needed) C State the appropriate p-value p-value = (Round to three decimal places as needed) d. State the conclusion the null hypothesis. There sufficient evidence at a = 0.05 to conclude the population mean 48

Answer 1

Hoiul ㅋ Hai uf> 0 Sol: fliven date : Hypothesis : n=19 <48 (Noil) f> 48 Calternade) x = 49.6 level of Significance & 0.05, W = 48 a) Observed that s Sign in CHA) Alternate hypothesis Critical value is Z. Rejection Region is/>Z. where x -2-Score from p- Valve Calculator 0.05 1.65 7x 0.05 So, of test Reject the null hapothesis if the Calculated Value statistics z is greater than the Critical Valve' -65 otherwise donot Reject the null hypothesis The rest statistics of Z is given as X-up b ) 2 = rn 49.6 48 11 7 179 1.6 0.2286 다 3 0.03 (Round to 8.888 8.888 two deci)

() P-valve @ Right failed test Pl7>2 P(Z >0.03) Pvalue 2) wher z=0.03 > P-value 0. 488 ( Rand to 3 deci) d) Donot Reject the noll hypothesis, There is no to conclude the Sufficient evidence at a Population mean is greater than 48 0.05 to
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