Styles Data Analysis Table 1: Summary of Data Analysis Null hypothesis H0 1 T1S
ID: 3360256 • Letter: S
Question
Styles Data Analysis Table 1: Summary of Data Analysis Null hypothesis H0 1 T1S 0 50 (is not an expert) Alternative hypothesis HA TI > 0 50 (is an expert) Sample size= | 20 Proportion correctly identified 7 Significance Level (a) 0.05 Critical value of test statistic 1.729 Number of correctly identified samples 14 Name of probability distribution of test statistic: Standard Normal Location of Rejection Region(s) (Lower, Upper, or Both): Upper Test statistic 1.789 P-value of test statistic 0,036 The null hypothesis in Table 1 expresses that the proportion of correctly identified samples is at most 0.50, which is the proportion expected by random identification, and the reference value in the hypothesis test calculations. 20 samples were served to validate the z test of proportion What is the Critical Value of test statistic?Explanation / Answer
Solution:- The critical value of test statics is 1.645.
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: P < 0.50
Alternative hypothesis: P > 0.50
Note that these hypotheses constitute a one-tailed test. The null hypothesis will be rejected only if the sample proportion is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method, shown in the next section, is a one-sample z-test.
Analyze sample data. Using sample data, we calculate the standard deviation () and compute the z-score test statistic (z).
= sqrt[ P * ( 1 - P ) / n ]
= 0.1118
z = (p - P) /
z = 1.789
zcritical = 1.645
where P is the hypothesized value of population proportion in the null hypothesis, p is the sample proportion, and n is the sample size.
Thus, the P-value = 0.036
Interpret results. Since the P-value (0.036) is less than the significance level (0.05), we cannot accept the null hypothesis.