Answer:
Null : x = 0.56 ; Alternate : x < 0.56
t = (x - 0.56) / (s / √n) : If < tabulated t at α =0.05 , null hypothesis accepted
If t > tabulated t at α =0.05 , alternate hypothesis is accepted
Explanation:
Hypothesis Testing is used to test the statistical validity of a statement. Null Hypothesis is the neutral hypothesis, signifying equality to the tested value. Alternate Hypothesis is the contradictory hypothesis, signifying deviation from the tested value.
To test 'Proportion of people giving importance to civil rights in american political life' : Let these proportion be = x
<u>Null</u> Hypothesis (H0) : x = 56% = 0.56
<u>Alternate </u>Hypothesis (H1) : x < 56 % , i.e x < 0.56
't' statistic is calculated based on sample : ( x' - u ) / (s / √n)
where : x' = sample mean , u = population hypothesised mean = 0.56 , s = sample standard deviation , n = sample size
If this calculated 't' < tabulated 't' at significance level α =0.05 ; null hypothesis is accepted. It implies average people thinking as mentioned = 56 % (majority)
If this calculated 't' > tabulated 't' at significance level α =0.05 ; alternate hypothesis is accepted. It implies average people thinking as mentioned < 56% (not majority)
