In an experiment, 18 babies were asked to watch a climber attempt to ascend a hill. On two occasions, the baby witnesses thế climber fall to Hlake the baby witnesses either a helper toy push the climber up the hill, or a hinderer toy preventing the climber from making the ascent. The toys were shown to each baby in a random fashion. A second part of this experiment showed the climber approach the helper toy, which is not a surprising action, and then the climber approached the hinderer toy, which is a surprising action. The amount of time the baby watched the event was recorded. The mean difference in time spent watching the climber approach the hinderer toy versus watching the climber approach the helper toy was 1.07 seconds with a standard deviation of 1.89 seconds. Complete parts a through c. (a) State the null and alternative hypotheses to determine if babies tend to look at the hinderer toy longer than the helper toy. Let ud = Hhinderer Hhelper where Hhinderer is the population mean time babies spend watching the climber approach the hinderer toy and Hhelper is the population mean time babies spend watching the climber approach the helper toy. OA. Ho Hd 0 O B. Ho Ha 0 OC. Hg Ha 0 H1: Hd =0 OE Ho Hd 0 OF Ho Ha<0 D. Ho Hd 0 H: Ha0 H: H0 H1: Hd =0 (b) Assuming the differences are normally distributed with no outliers, test if the difference in the amount of time the baby will watch the hinderer toy versus the helper toy is greater than 0 at the 0.01 level of significance. Find the test statistic for this hypothesis test. 2.40 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.)

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.