The accompanying data on degree of spirituality for a random sample of natural scientists and a random sample of social scientists working at research universities appeared in a paper. Is there evidence that the spirituality category proportions are not the same for natural and social scientists? Test the relevant hypotheses using a significance level of ? = 0.01.   Degree of Spirituality Very Moderate Slightly Not at All Natural Scientists 56 160 195 215 Social Scientists 56 220 244 239 State the appropriate null and alternative hypotheses. A) H0: The spirituality category proportions are the same for natural scientists and social scientists. Ha: The spirituality category proportions are not the same for natural scientists and social scientists.   B) H0: The spirituality category proportions are not the same for natural scientists and social scientists. Ha: The spirituality category proportions are the same for natural scientists and social scientists.       C) H0: Degree of spirituality and type of scientist are not independent. Ha: Degree of spirituality and type of scientist are independent.   D)H0: Degree of spirituality and type of scientist are independent. Ha: Degree of spirituality and type of scientist are not independent.   2. Find the test statistic and P-value. Round your test statistic to three decimal places and your P-value to four decimal places.)   3. State the conclusion in the problem context.   Fail to reject H0. There is not convincing evidence to conclude that the spirituality category proportions are not the same for natural scientists and social scientists.   Reject H0. There is convincing evidence to conclude that the spirituality category proportions are not the same for natural scientists and social scientists.      Fail to reject H0. There is convincing evidence to conclude that the spirituality category proportions are not the same for natural scientists and social scientists.   Reject H0. There is not convincing evidence to conclude that the spirituality category proportions are not the same for natural scientists and social scientists.

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1. The accompanying data on degree of spirituality for a random sample of natural scientists and a random sample of social scientists working at research universities appeared in a paper. Is there evidence that the spirituality category proportions are not the same for natural and social scientists? Test the relevant hypotheses using a significance level of ? = 0.01.
  Degree of Spirituality
Very Moderate Slightly Not at All
Natural Scientists 56 160 195 215
Social Scientists 56 220 244 239
State the appropriate null and alternative hypotheses.
A) H0: The spirituality category proportions are the same for natural scientists and social scientists.
Ha: The spirituality category proportions are not the same for natural scientists and social scientists.
 
B) H0: The spirituality category proportions are not the same for natural scientists and social scientists.
Ha: The spirituality category proportions are the same for natural scientists and social scientists.    
 
C) H0: Degree of spirituality and type of scientist are not independent.
Ha: Degree of spirituality and type of scientist are independent.
 
D)H0: Degree of spirituality and type of scientist are independent.
Ha: Degree of spirituality and type of scientist are not independent.
 
2. Find the test statistic and P-value. Round your test statistic to three decimal places and your P-value to four decimal places.)
 
3. State the conclusion in the problem context.
 
Fail to reject H0. There is not convincing evidence to conclude that the spirituality category proportions are not the same for natural scientists and social scientists.
 
Reject H0. There is convincing evidence to conclude that the spirituality category proportions are not the same for natural scientists and social scientists.   
 
Fail to reject H0. There is convincing evidence to conclude that the spirituality category proportions are not the same for natural scientists and social scientists.
 
Reject H0. There is not convincing evidence to conclude that the spirituality category proportions are not the same for natural scientists and social scientists.
 
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