An administer claims that 60% of college freshmen pass a particular test. To test the claim an SRS of size 30 test scores was collected, 19 of which passed the exam. Test the claim to the 8% significance level. What is the null hypothesis: H0: [ Select ] ["p", "Mu"] = [ Select ] [".08", ".633333", ".6", ".3", ".18"] . Read Mu as μ. Is the test left-sided, right-sided, or two-sided. [ Select ] ["right-sided", "two-sided", "left-sided"] Which distribution will you use? [ Select ] ["Z distribution", "t distribution"] α = [ Select ] [".63333333", ".30", ".08", ".60"] ? How many critical value(s) will there be? [ Select ] ["2", "1"] The critical value(s) can be found by [ Select ] ["invnorm(.08)", "tcdf(-10000000000,.08,29)", "normalcdf(.08,1000000000)", "invT(.04,29)", "invnorm(.04)", "invT(.08,29)", "normalcdf(-100000000,.08)", "tcdf(.08,10000000000,29)"] if there are two then this is for the negative critical value. The test statistic can be found by [ Select ] ["(.6-.633)/(sqrt(.6*.4/30))", "(.633-.6)/(sqrt(.633*.367/30))", "(.633-.6)/(sqrt(.6*.4/30))", "(.6-.633)/(sqrt(.633*.367/30))"] . Note I approximated 19/30 = 0.633 The p-value can be found by [ Select ] ["normalcdf(-10000000000, TS, 0, 1)", "2*normalcdf(-10000000000, TS, 0, 1)", "tcdf(-100000000000, TS, 39)", "2*tcdf(-100000000000, TS, 39)", "normalcdf(TS,10000000000, 0, 1)", "tcdf(TS, 100000000000, 39)"] where TS = Test Statistic (or the negative version of the test statistic if two sided). I could use the calculator test [ Select ] ["T-Test", "1-PropZTest", "Z-Test"] The conclusion is [ Select ] ["reject the null hypothesis", "fail to reject the null hypothesis"]
- Problem:
An administer claims that 60% of college freshmen pass a particular test.
To test the claim an SRS of size 30 test scores was collected, 19 of which passed the exam. Test the claim to the 8% significance level.
What is the null hypothesis: H0: [ Select ] ["p", "Mu"] = [ Select ] [".08", ".633333", ".6", ".3", ".18"] . Read Mu as μ.
Is the test left-sided, right-sided, or two-sided. [ Select ] ["right-sided", "two-sided", "left-sided"]
Which distribution will you use? [ Select ] ["Z distribution", "t distribution"]
α = [ Select ] [".63333333", ".30", ".08", ".60"] ?
How many critical value(s) will there be? [ Select ] ["2", "1"]
The critical value(s) can be found by [ Select ] ["invnorm(.08)", "tcdf(-10000000000,.08,29)", "normalcdf(.08,1000000000)", "invT(.04,29)", "invnorm(.04)", "invT(.08,29)", "normalcdf(-100000000,.08)", "tcdf(.08,10000000000,29)"] if there are two then this is for the negative critical value.
The test statistic can be found by [ Select ] ["(.6-.633)/(sqrt(.6*.4/30))", "(.633-.6)/(sqrt(.633*.367/30))", "(.633-.6)/(sqrt(.6*.4/30))", "(.6-.633)/(sqrt(.633*.367/30))"] . Note I approximated 19/30 = 0.633
The p-value can be found by [ Select ] ["normalcdf(-10000000000, TS, 0, 1)", "2*normalcdf(-10000000000, TS, 0, 1)", "tcdf(-100000000000, TS, 39)", "2*tcdf(-100000000000, TS, 39)", "normalcdf(TS,10000000000, 0, 1)", "tcdf(TS, 100000000000, 39)"] where TS = Test Statistic (or the negative version of the test statistic if two sided).
I could use the calculator test [ Select ] ["T-Test", "1-PropZTest", "Z-Test"]
The conclusion is [ Select ] ["reject the null hypothesis", "fail to reject the null hypothesis"]
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