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The Department of Kids states that the cost of raising a child from birth to the age of legal adulthood is $54000. You think

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The Department of Kids states that the cost of raising a child from birth to the age of legal adulthood is $54000. You think that the cost is much greater. You take a sample of 150 families and record what their cost of raising their child was. You find that their mean cost was $55800. Assume that you know that the population standard deviation cost for raising a child is $12000. Test the claim at a 5% level of significance. Ho: = 54000 Ha 54000 What is the value of your test statistic? (this is your z-score) Round your answer to four decimal places. Part 2 of 3 Use Excel to find your p-value? left-tailed test: =NORM.S.DIST( [Zscore], 1) right-tailed test: =1- NORM.S.DIST( [Zscore], 1) two-tailed test: =2*(1- NORM.S.DIST( abs([Zscore]), 1 )) Round your answer to four decimal places. % What is your test decision and conclusion? Since the p-value is less than the level of significance, we decide to fail to reject the null hypothesis. There is not significant evidence that the mean cost of raising a child is more than $54,000. O Since the p-value is greater than the level of significance, we decide to fail reject the null hypothesis. There is not significant evidence that the mean cost of raising a child is more than $54,000. O Since the p-value is greater than the level of significance, we decide to reject the null hypothesis. There is significant evidence that the mean cost of raising a child is more than $54,000. O Since the p-value is less than the level of significance, we decide to reject the null hypothesis. There is significant evidence that the mean cost of raising a child is more than $54,000.

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