Question

47% of workers indicate that they are satisfied with their job. A researcher thinks it has decreased. a) Express the null and alternative hypotheses in symbolic form for this claim. When entering the decimal enter the zero before the decimal point. For example, if you have 35%, enter it as 0.35. Ho H: Use the following codes to enter the following symbols: > enter >= < enter <= enter != b) You decide to survey 100 adult Americans and find that 49 of workers indicate that they are satisfied with their job. Find the test statistic. Round to two decimal places. c) What is the p-value? Round to 4 decimals. p =

Answer 1

Below are the null and alternative Hypothesis,
Null Hypothesis: p >= 0.47
Alternative Hypothesis: p < 0.47

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.49 - 0.47)/sqrt(0.47*(1-0.47)/100)
z = 0.4

P-value Approach
P-value = 0.6554
As P-value >= 0.01, fail to reject null hypothesis.