Test the claim that the proportion of people who own cats is significantly diffe

Question

Test the claim that the proportion of people who own cats is significantly different than 40% at the 0.2 significance level. The null and alternative hypothesis would be: H_0: p lessthan or equal to 0.4 H_0: mu lessthan or equal to 0.4 H_0: mu greaterthan or equal to 0.4 H_0: mu equal to 0.4 H_0: p equal to 0.4 H_0: p greaterthan or equal to 0.4 H_1: p greater than 0.4 H_1: mu greaterthan 0.4 H_1: mu lessthan 0.4 H_1: mu not equal to 0.4 H_1: p not equal to 0.4 H_1: p lessthan 0.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 100 people, 43% owned cats The test statistic is:_________________(to 2 decimals) The p-value is:__________________(to 2 decimals) Based on this we: we have insufficient evidence for the alternative hypothesis, thus fail to reject the null hypothesis We have sufficient evidence for the alternative hypothesis, thus reject the null hypothesis.

Explanation / Answer

the test static = (0.43-0.40)/sqrt(0.40*0.60/100)

= 0.61

the p value from the z table = 0.7291

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