All answers must include: 1. the rationale of using a test, 2. the hypotheses, 3
ID: 3312891 • Letter: A
Question
All answers must include: 1. the rationale of using a test, 2. the hypotheses, 3. the critical-value, 4. the test-statistics, 5. the p-value, 6. the test result, 7. the distribution chart, and 8. the conclusion 1. An organization surveyed 1040 adults in a certain country aged 18 and older and found that 537 believed they would not have enough money to live comfortably in retirement Does the sample evidence suggest that a majority of adults in this country believe they will not ha Use the a=0.01 level of significance. oney in retirement? pztest; 37 10400.5 - somple pro teststat- 1,0 1 040 (o,005, o 2. A golf association requires that golf balls have a diameter that is 1.68 inches. To determine if golf balls conform to the standard, a random sample of golf balls was selected. Their diameters are shown in the data table. Construct the hypothesis testing if the population mean is different from 1.68 inches at = 0.05 level of significance. 1.685 1.682 1.681 1.686 1.673 1.674 1.683 1.686 1.684 1.685 1.676 1.677 Diameter_(in.)Explanation / Answer
1.
Here the hypothesis tests are
H0: p = 0.5
H1: p > 0.5 (as we want to test whether majority of adults in this country believe they will not have enough money in retirement)
This is single proportion z-test
pcap = 537/1040 = 0.5163
SE = sqrt(0.5*0.5/1040) = 0.0155
Test statistics, z = (0.5163 - 0.5)/0.0155 = 1.0516
p-value = 0.1465
critical value = 2.3264
Fail to reject the null hypothesis.
There are not significant evidence to conclude that majority of adults in this country believe they will not have enough money in retirement.
2.
From the given data we have
Here the hypothesis tests are
H0: mu = 1.68
H1: mu not equals to 1.68 (as we want to test whether population mean is different)
single sample t-test: as sample size is small and population std. dev. is not known.
SE = 0.004767/sqrt(12) = 0.001376
Test statistics, t = (1.681 - 1.68)/0.001376 = 0.7266
p-value = 0.4675
critical value = 1.96
Fail to reject the null hypothesis.
There are not significant evidence to conclude that population mean is different from 1.68.
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