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# Smartphone Users. A Ring Central survey of 380 smartphone users showed that 152 of them said...

Smartphone Users. A Ring Central survey of 380 smartphone users showed that 152 of them said that theirsmartphone is the only thing they could not live without. Use a 0.01 significance level to test the claim thatfewer than half of smartphone users identify the smartphone as the only thing they could not live without

 null Hypothesis:              Ho:   p= 0.500 alternate Hypothesis:    Ha: p < 0.500 for 0.01 level and left tailed test , critical z= -2.33 (from excel:normsinv(0.01) Decision rule :   reject Ho if test statistic z < 2.33
 sample success x   = 152 sample size          n    = 380 std error σp =√(p*(1-p)/n) = 0.0256 sample prop p̂ = x/n=152/380= 0.4000 z =(p̂-p)/σp=(0.4-0.5)/0.026= -3.90
 since test statistic falls in rejection region we reject null hypothesis we have sufficient evidence to conclude that fewer than half of smartphone users identify the smartphone as the only thing they could not live without

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